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Electric power transmission
Electric power transmission
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Five-hundred kilovolt (500 kV) Three-phase electric power Transmission Lines at Grand Coulee Dam. Four circuits are shown. Two additional circuits are obscured by trees on the far right. The entire 6809 MW[1] nameplate generation capacity of the dam is accommodated by these six circuits.

Electric power transmission is the bulk movement of electrical energy from a generating site, such as a power plant, to an electrical substation. The interconnected lines that facilitate this movement form a transmission network. This is distinct from the local wiring between high-voltage substations and customers, which is typically referred to as electric power distribution. The combined transmission and distribution network is part of electricity delivery, known as the electrical grid.

Efficient long-distance transmission of electric power requires high voltages. This reduces the losses produced by strong currents. Transmission lines use either alternating current (AC) or direct current (DC). The voltage level is changed with transformers. The voltage is stepped up for transmission, then reduced for local distribution.

A wide area synchronous grid, known as an interconnection in North America, directly connects generators delivering AC power with the same relative frequency to many consumers. North America has four major interconnections: Western, Eastern, Quebec and Texas. One grid connects most of continental Europe.

Historically, transmission and distribution lines were often owned by the same company, but starting in the 1990s, many countries liberalized the regulation of the electricity market in ways that led to separate companies handling transmission and distribution.[2]

System

[edit]
A diagram of an electric power system. The transmission system is in blue.

Most North American transmission lines are high-voltage three-phase AC, although single phase AC is sometimes used in railway electrification systems. DC technology is used for greater efficiency over longer distances, typically hundreds of miles. High-voltage direct current (HVDC) technology is also used in submarine power cables (typically longer than 30 miles (50 km)), and in the interchange of power between grids that are not mutually synchronized. HVDC links stabilize power distribution networks where sudden new loads, or blackouts, in one part of a network might otherwise result in synchronization problems and cascading failures.

Electricity is transmitted at high voltages to reduce the energy loss due to resistance that occurs over long distances. Power is usually transmitted through overhead power lines. Underground power transmission has a significantly higher installation cost and greater operational limitations, but lowers maintenance costs. Underground transmission is more common in urban areas or environmentally sensitive locations.

Electrical energy must typically be generated at the same rate at which it is consumed. A sophisticated control system is required to ensure that power generation closely matches demand. If demand exceeds supply, the imbalance can cause generation plant(s) and transmission equipment to automatically disconnect or shut down to prevent damage. In the worst case, this may lead to a cascading series of shutdowns and a major regional blackout.

The US Northeast faced blackouts in 1965, 1977, 2003, and major blackouts in other US regions in 1996 and 2011. Electric transmission networks are interconnected into regional, national, and even continent-wide networks to reduce the risk of such a failure by providing multiple redundant, alternative routes for power to flow should such shutdowns occur. Transmission companies determine the maximum reliable capacity of each line (ordinarily less than its physical or thermal limit) to ensure that spare capacity is available in the event of a failure in another part of the network.

Overhead

[edit]
A four-circuit, two-voltage power transmission line; Bundled 2-ways
A typical ACSR. The conductor consists of seven strands of steel surrounded by four layers of aluminium.

High-voltage overhead conductors are not covered by insulation. The conductor material is nearly always an aluminium alloy, formed of several strands and possibly reinforced with steel strands. Copper was sometimes used for overhead transmission, but aluminum is lighter, reduces yields only marginally and costs much less. Overhead conductors are supplied by several companies. Conductor material and shapes are regularly improved to increase capacity.

Conductor sizes range from 12 mm2 (#6 American wire gauge) to 1,092 mm2 (2,156,000 circular mils area), with varying resistance and current-carrying capacity. For large conductors (more than a few centimetres in diameter), much of the current flow is concentrated near the surface due to the skin effect. The center of the conductor carries little current but contributes weight and cost. Thus, multiple parallel cables (called bundle conductors) are used for higher capacity. Bundle conductors are used at high voltages to reduce energy loss caused by corona discharge.

Today, transmission-level voltages are usually considered to be 110 kV and above.[3] Lower voltages, such as 66 kV and 33 kV, are usually considered subtransmission voltages, but are occasionally used on long lines with light loads. Voltages less than 33 kV are usually used for distribution. Voltages above 765 kV are considered extra high voltage and require different designs.

Overhead transmission wires depend on air for insulation, requiring that lines maintain minimum clearances. Adverse weather conditions, such as high winds and low temperatures, interrupt transmission. Wind speeds as low as 23 knots (43 km/h) can permit conductors to encroach operating clearances, resulting in a flashover and loss of supply.[4] Oscillatory motion of the physical line is termed conductor gallop or flutter depending on the frequency and amplitude of oscillation.

Underground

[edit]

Electric power can be transmitted by underground power cables. Underground cables take up no right-of-way, have lower visibility, and are less affected by weather. However, cables must be insulated. Cable and excavation costs are much higher than overhead construction. Faults in buried transmission lines take longer to locate and repair.

In some metropolitan areas, cables are enclosed by metal pipe and insulated with dielectric fluid (usually an oil) that is either static or circulated via pumps. If an electric fault damages the pipe and leaks dielectric, liquid nitrogen is used to freeze portions of the pipe to enable draining and repair. This extends the repair period and increases costs. The temperature of the pipe and surroundings are monitored throughout the repair period.[5][6][7]

Underground lines are limited by their thermal capacity, which permits less overload or re-rating lines. Long underground AC cables have significant capacitance, which reduces their ability to provide useful power beyond 50 miles (80 kilometres). DC cables are not limited in length by their capacitance.

History

[edit]
New York City streets in 1890. Besides telegraph lines, multiple electric lines were required for each class of device requiring different voltages.

Commercial electric power was initially transmitted at the same voltage used by lighting and mechanical loads. This restricted the distance between generating plant and loads. In 1882, DC voltage could not easily be increased for long-distance transmission. Different classes of loads (for example, lighting, fixed motors, and traction/railway systems) required different voltages, and so used different generators and circuits.[8][9]

Thus, generators were sited near their loads, a practice that later became known as distributed generation using large numbers of small generators.[10]

Transmission of alternating current (AC) became possible after Lucien Gaulard and John Dixon Gibbs built what they called the secondary generator, an early transformer provided with 1:1 turn ratio and open magnetic circuit, in 1881.

The first long distance AC line was 34 kilometres (21 miles) long, built for the 1884 International Exhibition of Electricity in Turin, Italy. It was powered by a 2 kV, 130 Hz Siemens & Halske alternator and featured several Gaulard transformers with primary windings connected in series, which fed incandescent lamps. The system proved the feasibility of AC electric power transmission over long distances.[9]

The first commercial AC distribution system entered service in 1885 in via dei Cerchi, Rome, Italy, for public lighting. It was powered by two Siemens & Halske alternators rated 30 hp (22 kW), 2 kV at 120 Hz and used 19 km of cables and 200 parallel-connected 2 kV to 20 V step-down transformers provided with a closed magnetic circuit, one for each lamp. A few months later it was followed by the first British AC system, serving Grosvenor Gallery. It also featured Siemens alternators and 2.4 kV to 100 V step-down transformers – one per user – with shunt-connected primaries.[11]

Working to improve what he considered an impractical Gaulard-Gibbs design, electrical engineer William Stanley, Jr. developed the first practical series AC transformer in 1885.[12] Working with the support of George Westinghouse, in 1886 he demonstrated a transformer-based AC lighting system in Great Barrington, Massachusetts. It was powered by a steam engine-driven 500 V Siemens generator. Voltage was stepped down to 100 volts using the Stanley transformer to power incandescent lamps at 23 businesses over 4,000 feet (1,200 m).[13] This practical demonstration of a transformer and alternating current lighting system led Westinghouse to begin installing AC systems later that year.[12]

In 1888 the first designs for an AC motor appeared. These were induction motors running on polyphase current, independently invented by Galileo Ferraris and Nikola Tesla. Westinghouse licensed Tesla's design. Practical three-phase motors were designed by Mikhail Dolivo-Dobrovolsky and Charles Eugene Lancelot Brown.[14] Widespread use of such motors were delayed many years by development problems and the scarcity of polyphase power systems needed to power them.[15][16]

Westinghouse alternating current polyphase generators on display at the 1893 World's Fair in Chicago, part of their Tesla Poly-phase System. Such polyphase innovations revolutionized transmission.

In the late 1880s and early 1890s smaller electric companies merged into larger corporations such as Ganz and AEG in Europe and General Electric and Westinghouse Electric in the US. These companies developed AC systems, but the technical difference between direct and alternating current systems required a much longer technical merger.[17] Alternating current's economies of scale with large generating plants and long-distance transmission slowly added the ability to link all the loads. These included single phase AC systems, poly-phase AC systems, low voltage incandescent lighting, high-voltage arc lighting, and existing DC motors in factories and street cars. In what became a universal system, these technological differences were temporarily bridged via the rotary converters and motor-generators that allowed the legacy systems to connect to the AC grid.[17][18] These stopgaps were slowly replaced as older systems were retired or upgraded.

The first transmission of single-phase alternating current using high voltage came in Oregon in 1890 when power was delivered from a hydroelectric plant at Willamette Falls to the city of Portland 14 miles (23 km) down river.[19] The first three-phase alternating current using high voltage took place in 1891 during the international electricity exhibition in Frankfurt. A 15 kV transmission line, approximately 175 km long, connected Lauffen on the Neckar and Frankfurt.[11][20]

Transmission voltages increased throughout the 20th century. By 1914, fifty-five transmission systems operating at more than 70 kV were in service. The highest voltage then used was 150 kV.[21] Interconnecting multiple generating plants over a wide area reduced costs. The most efficient plants could be used to supply varying loads during the day. Reliability was improved and capital costs were reduced, because stand-by generating capacity could be shared over many more customers and a wider area. Remote and low-cost sources of energy, such as hydroelectric power or mine-mouth coal, could be exploited to further lower costs.[8][11]

The 20th century's rapid industrialization made electrical transmission lines and grids critical infrastructure. Interconnection of local generation plants and small distribution networks was spurred by World War I, when large electrical generating plants were built by governments to power munitions factories.[22]

Bulk transmission

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A transmission substation decreases the voltage of incoming electricity, allowing it to connect from long-distance high-voltage transmission, to local lower voltage distribution. It also reroutes power to other transmission lines that serve local markets. This is the PacifiCorp Hale Substation, Orem, Utah, US.

These networks use components such as power lines, cables, circuit breakers, switches and transformers. The transmission network is usually administered on a regional basis by an entity such as a regional transmission organization or transmission system operator.[23]

Transmission efficiency is improved at higher voltage and lower current. The reduced current reduces heating losses. Joule's first law states that energy losses are proportional to the square of the current. Thus, reducing the current by a factor of two lowers the energy lost to conductor resistance by a factor of four for any given size of conductor.

The optimum size of a conductor for a given voltage and current can be estimated by Kelvin's law for conductor size, which states that size is optimal when the annual cost of energy wasted in resistance is equal to the annual capital charges of providing the conductor. At times of lower interest rates and low commodity costs, Kelvin's law indicates that thicker wires are optimal. Otherwise, thinner conductors are indicated. Since power lines are designed for long-term use, Kelvin's law is used in conjunction with long-term estimates of the price of copper and aluminum as well as interest rates.

Higher voltage is achieved in AC circuits by using a step-up transformer. High-voltage direct current (HVDC) systems require relatively costly conversion equipment that may be economically justified for particular projects such as submarine cables and longer distance high capacity point-to-point transmission. HVDC is necessary for sending energy between unsynchronized grids.

A transmission grid is a network of power stations, transmission lines, and substations. Energy is usually transmitted within a grid with three-phase AC. Single-phase AC is used only for distribution to end users since it is not usable for large polyphase induction motors. In the 19th century, two-phase transmission was used but required either four wires or three wires with unequal currents. Higher order phase systems require more than three wires, but deliver little or no benefit.

The synchronous grids of Europe

While the price of generating capacity is high, energy demand is variable, making it often cheaper to import needed power than to generate it locally. Because loads often rise and fall together across large areas, power often comes from distant sources. Because of the economic benefits of load sharing, wide area transmission grids may span countries and even continents. Interconnections between producers and consumers enables power to flow even if some links are inoperative.

The slowly varying portion of demand is known as the base load and is generally served by large facilities with constant operating costs, termed firm power. Such facilities are nuclear, coal or hydroelectric, while other energy sources such as concentrated solar thermal and geothermal power have the potential to provide firm power. Renewable energy sources, such as solar photovoltaics, wind, wave, and tidal, are, due to their intermittency, not considered to be firm. The remaining or peak power demand, is supplied by peaking power plants, which are typically smaller, faster-responding, and higher cost sources, such as combined cycle or combustion turbine plants typically fueled by natural gas.

Long-distance transmission (hundreds of kilometers) is cheap and efficient, with costs of US$0.005–0.02 per kWh, compared to annual averaged large producer costs of US$0.01–0.025 per kWh, retail rates upwards of US$0.10 per kWh, and multiples of retail for instantaneous suppliers at unpredicted high demand moments.[24] New York often buys over 1000 MW of low-cost hydropower from Canada.[25] Local sources (even if more expensive and infrequently used) can protect the power supply from weather and other disasters that can disconnect distant suppliers.

A high-power electrical transmission tower, 230 kV, double-circuit, also double-bundled

Hydro and wind sources cannot be moved closer to big cities, and solar costs are lowest in remote areas where local power needs are nominal. Connection costs can determine whether any particular renewable alternative is economically realistic. Costs can be prohibitive for transmission lines, but high capacity, long distance super grid transmission network costs could be recovered with modest usage fees.

Grid input

[edit]

At power stations, power is produced at a relatively low voltage between about 2.3 kV and 30 kV, depending on the size of the unit. The voltage is then stepped up by the power station transformer to a higher voltage (115 kV to 765 kV AC) for transmission.

In the United States, power transmission is, variously, 230 kV to 500 kV, with less than 230 kV or more than 500 kV as exceptions.

The Western Interconnection has two primary interchange voltages: 500 kV AC at 60 Hz, and ±500 kV (1,000 kV net) DC from North to South (Columbia River to Southern California) and Northeast to Southwest (Utah to Southern California). The 287.5 kV (Hoover Dam to Los Angeles line, via Victorville) and 345 kV (Arizona Public Service (APS) line) are local standards, both of which were implemented before 500 kV became practical.

Losses

[edit]

Transmitting electricity at high voltage reduces the fraction of energy lost to Joule heating, which varies by conductor type, the current, and the transmission distance. For example, a 100 miles (160 km) span at 765 kV carrying 1000 MW of power can have losses of 0.5% to 1.1%. A 345 kV line carrying the same load across the same distance has losses of 4.2%.[26] For a given amount of power, a higher voltage reduces the current and thus the resistive losses. For example, raising the voltage by a factor of 10 reduces the current by a corresponding factor of 10 and therefore the losses by a factor of 100, provided the same sized conductors are used in both cases. Even if the conductor size (cross-sectional area) is decreased ten-fold to match the lower current, the losses are still reduced ten-fold using the higher voltage.

While power loss can also be reduced by increasing the wire's conductance (by increasing its cross-sectional area), larger conductors are heavier and more expensive. And since conductance is proportional to cross-sectional area, resistive power loss is only reduced proportionally with increasing cross-sectional area, providing a much smaller benefit than the squared reduction provided by multiplying the voltage.

Long-distance transmission is typically done with overhead lines at voltages of 115 to 1,200 kV. At higher voltages, where more than 2,000 kV exists between conductor and ground, corona discharge losses are so large that they can offset the lower resistive losses in the line conductors. Measures to reduce corona losses include larger conductor diameter, hollow cores[27] or conductor bundles.

Factors that affect resistance and thus loss include temperature, spiraling, and the skin effect. Resistance increases with temperature. Spiraling, which refers to the way stranded conductors spiral about the center, also contributes to increases in conductor resistance. The skin effect causes the effective resistance to increase at higher AC frequencies. Corona and resistive losses can be estimated using a mathematical model.[28]

US transmission and distribution losses were estimated at 6.6% in 1997,[29] 6.5% in 2007[29] and 5% from 2013 to 2019.[30] In general, losses are estimated from the discrepancy between power produced (as reported by power plants) and power sold; the difference constitutes transmission and distribution losses, assuming no utility theft occurs.

As of 1980, the longest cost-effective distance for DC transmission was 7,000 kilometres (4,300 miles). For AC it was 4,000 kilometres (2,500 miles), though US transmission lines are substantially shorter.[24]

In any AC line, conductor inductance and capacitance can be significant. Currents that flow solely in reaction to these properties, (which together with the resistance define the impedance) constitute reactive power flow, which transmits no power to the load. These reactive currents, however, cause extra heating losses. The ratio of real power transmitted to the load to apparent power (the product of a circuit's voltage and current, without reference to phase angle) is the power factor. As reactive current increases, reactive power increases and power factor decreases.

For transmission systems with low power factor, losses are higher than for systems with high power factor. Utilities add capacitor banks, reactors and other components (such as phase-shifters; static VAR compensators; and flexible AC transmission systems, FACTS) throughout the system help to compensate for the reactive power flow, reduce the losses in power transmission and stabilize system voltages. These measures are collectively called 'reactive support'.

Transposition

[edit]

Current flowing through transmission lines induces a magnetic field that surrounds the lines of each phase and affects the inductance of the surrounding conductors of other phases. The conductors' mutual inductance is partially dependent on the physical orientation of the lines with respect to each other. Three-phase lines are conventionally strung with phases separated vertically. The mutual inductance seen by a conductor of the phase in the middle of the other two phases is different from the inductance seen on the top/bottom.

Unbalanced inductance among the three conductors is problematic because it may force the middle line to carry a disproportionate amount of the total power transmitted. Similarly, an unbalanced load may occur if one line is consistently closest to the ground and operates at a lower impedance. Because of this phenomenon, conductors must be periodically transposed along the line so that each phase sees equal time in each relative position to balance out the mutual inductance seen by all three phases. To accomplish this, line position is swapped at specially designed transposition towers at regular intervals along the line using various transposition schemes.

Subtransmission

[edit]
A 115 kV subtransmission line in the Philippines, along with 20 kV distribution lines and a street light, all mounted on a wood subtransmission pole
115 kV H-frame transmission tower

Subtransmission runs at relatively lower voltages. It is uneconomical to connect all distribution substations to the high main transmission voltage, because that equipment is larger and more expensive. Typically, only larger substations connect with this high voltage. Voltage is stepped down before the current is sent to smaller substations. Subtransmission circuits are usually arranged in loops so that a single line failure does not stop service to many customers for more than a short time.

Loops can be normally closed, where loss of one circuit should result in no interruption, or normally open where substations can switch to a backup supply. While subtransmission circuits are usually carried on overhead lines, in urban areas buried cable may be used. The lower-voltage subtransmission lines use less right-of-way and simpler structures; undergrounding is less difficult.

No fixed cutoff separates subtransmission and transmission, or subtransmission and distribution. Their voltage ranges overlap. Voltages of 69 kV, 115 kV, and 138 kV are often used for subtransmission in North America. As power systems evolved, voltages formerly used for transmission were used for subtransmission, and subtransmission voltages became distribution voltages. Like transmission, subtransmission moves relatively large amounts of power, and like distribution, subtransmission covers an area instead of just point-to-point.[31]

Transmission grid exit

[edit]

Substation transformers reduce the voltage to a lower level for distribution to customers. This distribution is accomplished with a combination of sub-transmission (33 to 138 kV) and distribution (3.3 to 25 kV). Finally, at the point of use, the energy is transformed to end-user voltage (100 to 4160 volts).

Advantage of high-voltage transmission

[edit]

High-voltage power transmission allows for lesser resistive losses over long distances. This efficiency delivers a larger proportion of the generated power to the loads.

Electrical grid without a transformer
Electrical grid with a transformer

In a simplified model, the grid delivers electricity from an ideal voltage source with voltage , delivering a power ) to a single point of consumption, modelled by a resistance , when the wires are long enough to have a significant resistance .

If the resistances are in series with no intervening transformer, the circuit acts as a voltage divider, because the same current runs through the wire resistance and the powered device. As a consequence, the useful power (at the point of consumption) is:

Should an ideal transformer convert high-voltage, low-current electricity into low-voltage, high-current electricity with a voltage ratio of (i.e., the voltage is divided by and the current is multiplied by in the secondary branch, compared to the primary branch), then the circuit is again equivalent to a voltage divider, but the wires now have apparent resistance of only . The useful power is then:

For (i.e. conversion of high voltage to low voltage near the consumption point), a larger fraction of the generator's power is transmitted to the consumption point and a lesser fraction is lost to Joule heating.

Modeling

[edit]
"Black box" model for transmission line

The terminal characteristics of the transmission line are the voltage and current at the sending (S) and receiving (R) ends. The transmission line can be modeled as a black box and a 2 by 2 transmission matrix is used to model its behavior, as follows:

The line is assumed to be a reciprocal, symmetrical network, meaning that the receiving and sending labels can be switched with no consequence. The transmission matrix T has the properties:

The parameters A, B, C, and D differ depending on how the desired model handles the line's resistance (R), inductance (L), capacitance (C), and shunt (parallel, leak) conductance G.

The four main models are the short line approximation, the medium line approximation, the long line approximation (with distributed parameters), and the lossless line. In such models, a capital letter such as R refers to the total quantity summed over the line and a lowercase letter such as c refers to the per-unit-length quantity.

Lossless line

[edit]

The lossless line approximation is the least accurate; it is typically used on short lines where the inductance is much greater than the resistance. For this approximation, the voltage and current are identical at the sending and receiving ends.

Voltage on sending and receiving ends for lossless line

The characteristic impedance is pure real, which means resistive for that impedance, and it is often called surge impedance. When a lossless line is terminated by surge impedance, the voltage does not drop. Though the phase angles of voltage and current are rotated, the magnitudes of voltage and current remain constant along the line. For load > SIL, the voltage drops from sending end and the line consumes VARs. For load < SIL, the voltage increases from the sending end, and the line generates VARs.

Short line

[edit]

The short line approximation is normally used for lines shorter than 80 km (50 mi). There, only a series impedance Z is considered, while C and G are ignored. The final result is that A = D = 1 per unit, B = Z Ohms, and C = 0. The associated transition matrix for this approximation is therefore:

Medium line

[edit]

The medium line approximation is used for lines running between 80 and 250 km (50 and 155 mi). The series impedance and the shunt (current leak) conductance are considered, placing half of the shunt conductance at each end of the line. This circuit is often referred to as a nominal π (pi) circuit because of the shape (π) that is taken on when leak conductance is placed on both sides of the circuit diagram. The analysis of the medium line produces:

Counterintuitive behaviors of medium-length transmission lines:

  • voltage rise at no load or small current (Ferranti effect)
  • receiving-end current can exceed sending-end current

Long line

[edit]

The long line model is used when a higher degree of accuracy is needed or when the line under consideration is more than 250 km (160 mi) long. Series resistance and shunt conductance are considered to be distributed parameters, such that each differential length of the line has a corresponding differential series impedance and shunt admittance. The following result can be applied at any point along the transmission line, where is the propagation constant.

To find the voltage and current at the end of the long line, should be replaced with (the line length) in all parameters of the transmission matrix. This model applies the Telegrapher's equations.

High-voltage direct current

[edit]

High-voltage direct current (HVDC) is used to transmit large amounts of power over long distances or for interconnections between asynchronous grids. When electrical energy is transmitted over very long distances, the power lost in AC transmission becomes appreciable and it is less expensive to use direct current instead. For a long transmission line, these lower losses (and reduced construction cost of a DC line) can offset the cost of the required converter stations at each end.

HVDC is used for long submarine cables where AC cannot be used because of cable capacitance.[32] In these cases special high-voltage cables are used. Submarine HVDC systems are often used to interconnect the electricity grids of islands, for example, between Great Britain and continental Europe, between Great Britain and Ireland, between Tasmania and the Australian mainland, between the North and South Islands of New Zealand, between New Jersey and New York City, and between New Jersey and Long Island. Submarine connections up to 600 kilometres (370 mi) in length have been deployed.[33]

HVDC links can be used to control grid problems. The power transmitted by an AC line increases as the phase angle between source end voltage and destination ends increases, but too large a phase angle allows the systems at either end to fall out of step. Since the power flow in a DC link is controlled independently of the phases of the AC networks that it connects, this phase angle limit does not exist, and a DC link is always able to transfer its full rated power. A DC link therefore stabilizes the AC grid at either end, since power flow and phase angle can then be controlled independently.

As an example, to adjust the flow of AC power on a hypothetical line between Seattle and Boston would require adjustment of the relative phase of the two regional electrical grids. This is an everyday occurrence in AC systems, but one that can become disrupted when AC system components fail and place unexpected loads on the grid. With an HVDC line instead, such an interconnection would:

  • Convert AC in Seattle into HVDC;
  • Use HVDC for the 3,000 miles (4,800 km) of cross-country transmission; and
  • Convert the HVDC to locally synchronized AC in Boston,

(and possibly in other cooperating cities along the transmission route). Such a system could be less prone to failure if parts of it were suddenly shut down. One example of a long DC transmission line is the Pacific DC Intertie located in the Western United States.

Capacity

[edit]

The amount of power that can be sent over a transmission line varies with the length of the line. The heating of short line conductors due to line losses sets a thermal limit. If too much current is drawn, conductors may sag too close to the ground, or conductors and equipment may overheat. For intermediate-length lines on the order of 100 kilometres (62 miles), the limit is set by the voltage drop in the line. For longer AC lines, system stability becomes the limiting factor. Approximately, the power flowing over an AC line is proportional to the cosine of the phase angle of the voltage and current at the ends.

This angle varies depending on system loading. It is undesirable for the angle to approach 90 degrees, as the power flowing decreases while resistive losses remain. The product of line length and maximum load is approximately proportional to the square of the system voltage. Series capacitors or phase-shifting transformers are used on long lines to improve stability. HVDC lines are restricted only by thermal and voltage drop limits, since the phase angle is not material.

Understanding the temperature distribution along the cable route became possible with the introduction of distributed temperature sensing (DTS) systems that measure temperatures all along the cable. Without them maximum current was typically set as a compromise between understanding of operation conditions and risk minimization. This monitoring solution uses passive optical fibers as temperature sensors, either inside a high-voltage cable or externally mounted on the cable insulation.

For overhead cables the fiber is integrated into the core of a phase wire. The integrated Dynamic Cable Rating (DCR)/Real Time Thermal Rating (RTTR) solution makes it possible to run the network to its maximum. It allows the operator to predict the behavior of the transmission system to reflect major changes to its initial operating conditions.

Reconductoring

[edit]

Some utilities have embraced reconductoring to handle the increase in electricity production. Reconductoring is the replacement-in-place of existing transmission lines with higher-capacity lines. Adding transmission lines is difficult due to cost, permit intervals, and local opposition. Reconductoring has the potential to double the amount of electricity that can travel across a transmission line.[34] A 2024 report found the United States behind countries like Belgium and the Netherlands in adoption of this technique to accommodate electrification and renewable energy.[35] In April 2022, the Biden Administration streamlined environmental reviews for such projects, and in May 2022 announced competitive grants for them funded by the 2021 Bipartisan Infrastructure Law and 2022 Inflation Reduction Act.[36]

The rate of transmission expansion needs to double to support ongoing electrification and reach emission reduction targets. As of 2022, more than 10,000 power plant and energy storage projects were awaiting permission to connect to the US grid — 95% were zero-carbon resources. New power lines can take 10 years to plan, permit, and build.[34]

Traditional power lines use a steel core surrounded by aluminum strands (Aluminium-conductor steel-reinforced cable). Replacing the steel with a lighter, stronger composite material such as carbon fiber (ACCC conductor) allows lines to operate at higher temperatures, with less sag, and doubled transmission capacity. Lowering line sag at high temperatures can prevent wildfires from starting when power lines touch dry vegetation.[35] Although advanced lines can cost 2-4x more than steel, total reconductoring costs are less than half of a new line, given savings in time, land acquisition, permitting, and construction.[34]

A reconductoring project in southeastern Texas upgraded 240 miles of transmission lines at a cost of $900,000 per mile, versus a 3,600-mile greenfield project that averaged $1.9 million per mile.[34]

Control

[edit]

To ensure safe and predictable operation, system components are controlled with generators, switches, circuit breakers and loads. The voltage, power, frequency, load factor, and reliability capabilities of the transmission system are designed to provide cost effective performance.

Load balancing

[edit]

The transmission system provides for base load and peak load capability, with margins for safety and fault tolerance. Peak load times vary by region largely due to the industry mix. In hot and cold climates home air conditioning and heating loads affect the overall load. They are typically highest in the late afternoon in the hottest part of the year and in mid-mornings and mid-evenings in the coldest part of the year. Power requirements vary by season and time of day. Distribution system designs always take the base load and the peak load into consideration.

The transmission system usually does not have a large buffering capability to match loads with generation. Thus generation has to be kept matched to the load, to prevent overloading generation equipment.

Multiple sources and loads can be connected to the transmission system and they must be controlled to provide orderly transfer of power. In centralized power generation, only local control of generation is necessary. This involves synchronization of the generation units.

In distributed power generation the generators are geographically distributed and the process to bring them online and offline must be carefully controlled. The load control signals can either be sent on separate lines or on the power lines themselves. Voltage and frequency can be used as signaling mechanisms to balance the loads.

In voltage signaling, voltage is varied to increase generation. The power added by any system increases as the line voltage decreases. This arrangement is stable in principle. Voltage-based regulation is complex to use in mesh networks, since the individual components and setpoints would need to be reconfigured every time a new generator is added to the mesh.

In frequency signaling, the generating units match the frequency of the power transmission system. In droop speed control, if the frequency decreases, the power is increased. (The drop in line frequency is an indication that the increased load is causing the generators to slow down.)

Wind turbines, vehicle-to-grid, virtual power plants, and other locally distributed storage and generation systems can interact with the grid to improve system operation. Internationally[where?], a slow move from a centralized to decentralized power systems have taken place. The main draw of locally distributed generation systems is that they reduce transmission losses by leading to consumption of electricity closer to where it was produced.[37]

Failure protection

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Under excess load conditions, the system can be designed to fail incrementally rather than all at once. Brownouts occur when power supplied drops below the demand. Blackouts occur when the grid fails completely.

Rolling blackouts (also called load shedding) are intentionally engineered electrical power outages, used to distribute insufficient power to various loads in turn.

Communications

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Grid operators require reliable communications to manage the grid and associated generation and distribution facilities. Fault-sensing protective relays at each end of the line must communicate to monitor the flow of power so that faulted conductors or equipment can be quickly de-energized and the balance of the system restored. Protection of the transmission line from short circuits and other faults is usually so critical that common carrier telecommunications are insufficiently reliable, while in some remote areas no common carrier is available. Communication systems associated with a transmission project may use:

Rarely, and for short distances, pilot-wires are strung along the transmission line path. Leased circuits from common carriers are not preferred since availability is not under control of the operator.

Transmission lines can be used to carry data: this is called power-line carrier, or power-line communication (PLC). PLC signals can be easily received with a radio in the long wave range.

High-voltage pylons carrying additional optical fibre cable in Kenya

Optical fibers can be included in the stranded conductors of a transmission line, in the overhead shield wires. These cables are known as optical ground wire (OPGW). Sometimes a standalone cable is used, all-dielectric self-supporting (ADSS) cable, attached to the transmission line cross arms.

Some jurisdictions, such as Minnesota, prohibit energy transmission companies from selling surplus communication bandwidth or acting as a telecommunications common carrier. Where the regulatory structure permits, the utility can sell capacity in extra dark fibers to a common carrier.

Market structure

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Electricity transmission is generally considered to be a natural monopoly, but one that is not inherently linked to generation.[38][39][40] Many countries regulate transmission separately from generation.

Spain was the first country to establish a regional transmission organization. In that country, transmission operations and electricity markets are separate. The transmission system operator is Red Eléctrica de España (REE) and the wholesale electricity market operator is Operador del Mercado Ibérico de Energía – Polo Español, S.A. (OMEL) OMEL Holding | Omel Holding. Spain's transmission system is interconnected with those of France, Portugal, and Morocco.

The establishment of RTOs in the United States was spurred by the FERC's Order 888, Promoting Wholesale Competition Through Open Access Non-discriminatory Transmission Services by Public Utilities; Recovery of Stranded Costs by Public Utilities and Transmitting Utilities, issued in 1996.[41] In the United States and parts of Canada, electric transmission companies operate independently of generation companies, but in the Southern United States vertical integration is intact. In regions of separation, transmission owners and generation owners continue to interact with each other as market participants with voting rights within their RTO. RTOs in the United States are regulated by the Federal Energy Regulatory Commission.

Merchant transmission projects in the United States include the Cross Sound Cable from Shoreham, New York to New Haven, Connecticut, Neptune RTS Transmission Line from Sayreville, New Jersey, to New Bridge, New York, and Path 15 in California. Additional projects are in development or have been proposed throughout the United States, including the Lake Erie Connector, an underwater transmission line proposed by ITC Holdings Corp., connecting Ontario to load serving entities in the PJM Interconnection region.[42]

Australia has one unregulated or market interconnector – Basslink – between Tasmania and Victoria. Two DC links originally implemented as market interconnectors, Directlink and Murraylink, were converted to regulated interconnectors.[43]

A major barrier to wider adoption of merchant transmission is the difficulty in identifying who benefits from the facility so that the beneficiaries pay the toll. Also, it is difficult for a merchant transmission line to compete when the alternative transmission lines are subsidized by utilities with a monopolized and regulated rate base.[44] In the United States, the FERC's Order 1000, issued in 2010, attempted to reduce barriers to third party investment and creation of merchant transmission lines where a public policy need is found.[45]

Transmission costs

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The cost of high voltage transmission is comparatively low, compared to all other costs constituting consumer electricity bills. In the UK, transmission costs are about 0.2 p per kWh compared to a delivered domestic price of around 10 p per kWh.[46]

The level of capital expenditure in the electric power T&D equipment market was estimated to be $128.9 bn in 2011.[47]

Health concerns

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Mainstream scientific evidence suggests that low-power, low-frequency, electromagnetic radiation associated with household currents and high transmission power lines does not constitute a short- or long-term health hazard.

Some studies failed to find any link between living near power lines and developing any sickness or diseases, such as cancer. A 1997 study reported no increased risk of cancer or illness from living near a transmission line.[48] Other studies, however, reported statistical correlations between various diseases and living or working near power lines. No adverse health effects have been substantiated for people not living close to power lines.[49]

The New York State Public Service Commission conducted a study[50] to evaluate potential health effects of electric fields. The study measured the electric field strength at the edge of an existing right-of-way on a 765 kV transmission line. The field strength was 1.6 kV/m, and became the interim maximum strength standard for new transmission lines in New York State. The opinion also limited the voltage of new transmission lines built in New York to 345 kV. On September 11, 1990, after a similar study of magnetic field strengths, the NYSPSC issued their Interim Policy Statement on Magnetic Fields. This policy established a magnetic field standard of 200 mG at the edge of the right-of-way using the winter-normal conductor rating. As a comparison with everyday items, a hair dryer or electric blanket produces a 100 mG – 500 mG magnetic field.[51][52]

Applications for a new transmission line typically include an analysis of electric and magnetic field levels at the edge of rights-of-way. Public utility commissions typically do not comment on health impacts.

Biological effects have been established for acute high level exposure to magnetic fields above 100 μT (1 G) (1,000 mG). In a residential setting, one study reported "limited evidence of carcinogenicity in humans and less than sufficient evidence for carcinogenicity in experimental animals", in particular, childhood leukemia, associated with average exposure to residential power-frequency magnetic field above 0.3 μT (3 mG) to 0.4 μT (4 mG). These levels exceed average residential power-frequency magnetic fields in homes, which are about 0.07 μT (0.7 mG) in Europe and 0.11 μT (1.1 mG) in North America.[53][54]

The Earth's natural geomagnetic field strength varies over the surface of the planet between 0.035 mT and 0.07 mT (35 μT – 70 μT or 350 mG – 700 mG) while the international standard for continuous exposure is set at 40 mT (400,000 mG or 400 G) for the general public.[53]

Tree growth regulators and herbicides may be used in transmission line right of ways,[55] which may have health effects.

Specialized transmission

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Grids for railways

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In some countries where electric locomotives or electric multiple units run on low frequency AC power, separate single phase traction power networks are operated by the railways. Prime examples are countries such as Austria, Germany and Switzerland that utilize AC technology based on 16 2/3 Hz. Norway and Sweden also use this frequency but use conversion from the 50 Hz public supply; Sweden has a 16 2/3 Hz traction grid but only for part of the system.

Superconducting cables

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High-temperature superconductors (HTS) promise to revolutionize power distribution by providing lossless transmission. The development of superconductors with transition temperatures higher than the boiling point of liquid nitrogen has made the concept of superconducting power lines commercially feasible, at least for high-load applications.[56] It has been estimated that waste would be halved using this method, since the necessary refrigeration equipment would consume about half the power saved by the elimination of resistive losses. Companies such as Consolidated Edison and American Superconductor began commercial production of such systems in 2007.[57]

Superconducting cables are particularly suited to high load density areas such as the business district of large cities, where purchase of an easement for cables is costly.[58]

HTS transmission lines[59]
Location Length (km) Voltage (kV) Capacity (GW) Date
Carrollton, Georgia 2000
Albany, New York[60] 0.35 34.5 0.048 2006
Holbrook, Long Island[61] 0.6 138 0.574 2008
Tres Amigas 5 Proposed 2013
Manhattan: Project Hydra Proposed 2014
Essen, Germany[62][63] 1 10 0.04 2014

Single-wire earth return

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Single-wire earth return (SWER) or single-wire ground return is a single-wire transmission line for supplying single-phase electrical power to remote areas at low cost. It is principally used for rural electrification, but also finds use for larger isolated loads such as water pumps. Single-wire earth return is also used for HVDC over submarine power cables.

Wireless power transmission

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Both Nikola Tesla and Hidetsugu Yagi attempted to devise systems for large scale wireless power transmission in the late 1800s and early 1900s, without commercial success.

In November 2009, LaserMotive won the NASA 2009 Power Beaming Challenge by powering a cable climber 1 km vertically using a ground-based laser transmitter. The system produced up to 1 kW of power at the receiver end. In August 2010, NASA contracted with private companies to pursue the design of laser power beaming systems to power low earth orbit satellites and to launch rockets using laser power beams.

Wireless power transmission has been studied for transmission of power from solar power satellites to the earth. A high power array of microwave or laser transmitters would beam power to a rectenna. Major engineering and economic challenges face any solar power satellite project.

Security

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The federal government of the United States stated that the American power grid was susceptible to cyber-warfare.[64][65] The United States Department of Homeland Security works with industry to identify vulnerabilities and to help industry enhance the security of control system networks.[66]

In June 2019, Russia conceded that it was "possible" its electrical grid is under cyber-attack by the United States.[67] The New York Times reported that American hackers from the United States Cyber Command planted malware potentially capable of disrupting the Russian electrical grid.[68]

Records

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  • Highest capacity system: 12 GW Zhundong–Wannan (准东-皖南)±1100 kV HVDC.[69][70]
  • Highest transmission voltage (AC):
    • planned: 1.20 MV (Ultra-High Voltage) on Wardha-Aurangabad line (India), planned to initially operate at 400 kV.[71]
    • worldwide: 1.15 MV (Ultra-High Voltage) on Ekibastuz-Kokshetau line (Kazakhstan) (operating at 500kv)
  • Largest double-circuit transmission, Kita-Iwaki Powerline (Japan).
  • Highest towers: Yangtze River Crossing (China) (height: 345 m or 1,132 ft)
  • Longest power line: Inga-Shaba (Democratic Republic of Congo) (length: 1,700 kilometres or 1,056 miles)
  • Longest span of power line: 5,376 m (17,638 ft) at Ameralik Span (Greenland, Denmark)
  • Longest submarine cables:
    • As of 29 December 2023, the longest operational land-and-subsea HVDC interconnector is Viking Link between the UK and Denmark at 765 km, surpassing North Sea Link at 720 km.
    • North Sea Link, (Norway/United Kingdom) – (length of submarine cable: 720 kilometres or 447 miles)
    • NorNed, North Sea (Norway/Netherlands) – (length of submarine cable: 580 kilometres or 360 miles)
    • Basslink, Bass Strait, (Australia) – (length of submarine cable: 290 kilometres or 180 miles, total length: 370.1 kilometres or 230 miles)
    • Baltic Cable, Baltic Sea (Germany/Sweden) – (length of submarine cable: 238 kilometres or 148 miles, HVDC length: 250 kilometres or 155 miles, total length: 262 kilometres or 163 miles)
  • Longest underground cables:

See also

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References

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Further reading

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Revisions and contributorsEdit on WikipediaRead on Wikipedia
from Grokipedia
Electric power transmission is the bulk transfer of from generating facilities to substations or load centers, primarily using high-voltage (AC) lines to reduce resistive losses over distances spanning tens to hundreds of kilometers. This process relies on transformers to step up voltage at sites for efficient long-haul conveyance and step it down for safer distribution, with power loss governed by the P=I2RP = I^2 R, where higher voltages diminish current II for a given power output, thereby curtailing dissipation in conductors. In the United States, transmission losses account for approximately 2-3% of generated electricity, enabling the interconnection of diverse sources into regional grids that synchronize supply with across vast areas. The predominance of AC over direct current (DC) stems from its facility for voltage transformation via simple, cost-effective devices, a resolution to the late-19th-century "War of Currents" where AC, championed by and , proved superior for scalable, long-distance delivery compared to Thomas Edison's DC systems limited by inefficient conversion. Early milestones include the 1889 line in , the first U.S. AC transmission, which paved the way for ' 1896 hydroelectric project powering , over 20 miles away at 11,000 volts. High-voltage DC (HVDC) transmission, revived in the mid-20th century, complements AC for ultra-long distances or asynchronous grid links, offering lower losses and enhanced stability without reactive power issues, as seen in projects like the 1,400 km . Defining characteristics include overhead lattice towers or poles supporting bundled conductors to mitigate , with underground cables reserved for urban or environmentally sensitive routes due to higher costs. Notable achievements encompass the evolution of the North American synchronous grid, integrating fossil, nuclear, hydro, and renewables to achieve over 99.9% reliability, though vulnerabilities to cascading failures—evident in the 2003 Northeast blackout affecting 50 million people—underscore the causal fragility of interdependent infrastructure to faults, overloads, or vegetation incursions. Controversies arise from right-of-way disputes, concerns unsubstantiated by epidemiological consensus, and the tension between expanding capacity for decarbonization versus local opposition, often amplified by regulatory delays that hinder efficiency gains from advanced conductors or reconductoring. Empirical data affirm transmission's role in causal : without it, localized generation would inflate costs and curtail renewables' dispatchability, as distance-proportional losses necessitate centralized production hubs proximate to fuel or resource endowments.

Principles and Systems

Overhead Transmission Lines

Overhead transmission lines transport electrical power at high voltages over long distances using conductors suspended from support structures such as or utility poles. These lines typically operate at voltages from 69 kV to 765 kV or higher, enabling efficient bulk power transfer with minimized losses compared to lower-voltage distribution systems. Conductors are primarily made of aluminum for its high conductivity and low weight, often reinforced with strands in configurations like Aluminum Conductor Steel Reinforced (ACSR) to provide mechanical strength against tension, wind, and ice loads. Support structures include self-supporting lattice steel towers for extra-high-voltage lines, which offer durability and height for required clearances, and wooden, concrete, or steel poles for lower-voltage applications. Tower types are classified by function: suspension towers hold conductors vertically via insulators for straight-line spans; tension or dead-end towers anchor lines at angles or terminations, bearing full conductor weight and horizontal loads; and transposition towers facilitate phase rotation to balance electrical parameters. Insulators, typically , , or composites, electrically isolate conductors from supports while withstanding mechanical stresses and environmental exposure. Design accounts for electrical factors like corona discharge mitigation through bundled conductors—multiple parallel strands per phase—and sufficient spacing to prevent flashover, alongside mechanical considerations such as sag under load and wind-induced sway. Lines often employ single- or double-circuit configurations on shared towers to optimize , with ground wires for . Overhead lines cost significantly less to construct and maintain than underground cables, often 5 to 10 times cheaper due to simpler installation and for repairs. They allow visual and thermal inspections without excavation, facilitating rapid fault detection. However, they are vulnerable to weather events like storms, accumulation, and interference, necessitating regular right-of-way clearing and potentially causing outages from physical damage. Despite these drawbacks, overhead systems dominate long-distance transmission for their and in grid expansion.

Underground and Submarine Cables

Underground power cables are employed in electric transmission where overhead lines are impractical, such as densely populated urban areas, environmentally sensitive regions, or crossings under roads and railways, to minimize visual impact and enhance reliability against weather-related disruptions. These cables typically consist of conductors insulated with materials like (XLPE), which provides superior and thermal stability compared to older paper-insulated types, enabling operation at temperatures up to 90°C continuously and higher during overloads. Construction methods include direct in trenches or encasement in , such as high-pressure fluid-filled (HPFF) pipe-type cables where three phases may share a single steel pipe pressurized with fluid to prevent voids and enhance insulation integrity. XLPE cables dominate modern installations due to lower maintenance needs and compatibility with voltages from medium (6-36 kV) to high levels exceeding 200 kV, though processes must ensure void-free insulation to avoid partial discharges. Advantages of underground cables include reduced vulnerability to extreme weather, vegetation interference, and human-induced damage like vandalism, resulting in fewer outages from external causes and lower long-term costs once installed. However, they incur significantly higher initial capital expenses—approximately 3-5 times per foot more than overhead lines due to excavation, materials, and specialized installation—along with elevated losses from higher , which increases charging currents and reduces efficiency for (AC) transmission over distances beyond a few kilometers. Fault detection and repairs are more challenging and time-intensive, often requiring weeks versus hours for overhead lines, as damage from digging or faults is harder to locate without advanced monitoring like distributed sensing. Life-cycle costs may favor underground in high-risk areas, but economic analyses typically show overhead preferable for most rural or open-terrain transmission unless reliability premiums justify the premium, as underground systems exhibit marginally higher AC resistive and corona-equivalent losses per unit length. Submarine power cables extend transmission across bodies of water, such as or offshore wind connections, using armored designs to withstand mechanical stresses from laying, currents, and anchors, with diameters ranging from 70 mm for lower voltages to over 210 mm for high-capacity links. For distances under 50 km, AC cables suffice despite reactive power compensation needs from , but (HVDC) predominates for longer routes—exceeding 100 km—due to negligible charging currents, lower transmission losses (e.g., 3-4% per 1000 km versus 20-30% for AC equivalents), and absence of distance-limited stability issues inherent to AC systems. HVDC submarine cables often employ mass-impregnated (MI) or XLPE insulation rated at ±320 kV to ±525 kV, as demonstrated in projects like the 720 km Western Link between and , operational since 2017 at 2.2 GW capacity with losses under 3.5%. Installation challenges include precise seabed routing to avoid fishing grounds and fault-prone zones, with repair vessels using specialized grapples; emerging projects, such as a planned 1100 km HVDC link, underscore scalability for intercontinental ties but highlight costs 2-5 times higher than terrestrial equivalents due to marine surveys and vessels. While HVDC mitigates AC's frequency-dependent losses, both types demand robust metallic sheathing for protection and optical fibers for real-time monitoring, ensuring reliability in harsh saline environments.

Alternating Current vs Direct Current Fundamentals

Alternating current (AC) refers to the flow of electric charge that periodically reverses direction, typically following a sinusoidal at standardized frequencies of 50 Hz in most of the world or 60 Hz in and parts of . In contrast, (DC) maintains a unidirectional flow of charge, resulting in a constant voltage polarity without reversal. These fundamental differences in charge motion underpin their distinct behaviors in power transmission systems, where the primary goal is to deliver over distances while minimizing resistive losses governed by the relation Ploss=I2RP_\text{loss} = I^2 R, with current II inversely proportional to voltage VV for a fixed power P=VIP = V I. AC's key advantage for transmission stems from its compatibility with transformers, which exploit Faraday's law of —the changing from reversing current induces voltage in secondary windings, enabling efficient, passive step-up to high voltages (often 110 kV to 765 kV) that reduce current and thus I2RI^2 R losses by factors of thousands compared to low-voltage distribution. DC lacks this inherent inducibility, as steady current produces constant flux without transformation unless converted via complex electronic means like thyristor-based rectifiers and inverters, which were impractical before solid-state developments in the mid-20th century. Three-phase AC systems, common in transmission, further optimize this by delivering smoother power pulsation through 120-degree phase offsets, approximating constant instantaneous power without the full-wave rectification needed for DC equivalence. However, AC transmission incurs additional challenges absent in DC, including reactive power due to line and , which does not contribute to real power but demands compensation via capacitors or synchronous condensers to maintain voltage stability and avoid excess losses. DC avoids reactive components entirely, yielding purer real power flow and potentially 20-30% lower losses over ultra-long distances exceeding 500-800 km, where AC's cumulative phase shifts and stability limits constrain capacity. Phenomena like the skin effect in AC conductors—where current concentrates near the surface, effectively increasing resistance by up to 10-20% at 60 Hz—further marginally elevate AC losses compared to DC's uniform current distribution.
AspectAlternating Current (AC)Direct Current (DC)
WaveformPeriodic reversal (sinusoidal, 50/60 Hz); enables induction-based transformation.Unidirectional constant flow; no inherent induction.
Voltage ConversionSimple, efficient transformers for step-up/down; core to high-voltage transmission.Requires active converters (e.g., HVDC stations); historically costly until 1950s.
Power ComponentsReal power plus reactive (VARs); needs compensation for line reactance.Only real power; no reactive losses.
Line LossesI2RI^2 R plus skin effect (higher effective R) and corona discharge at high V; suitable for <500 km.Primarily I2RI^2 R; lower for >800 km due to no reactance.
SynchronizationRequires phase matching across grids; limits interconnect stability.Independent operation; easier for asynchronous links.
Fundamentally, AC's transformability established it as the default for meshed grid transmission, balancing cost and efficiency for typical spans, while DC's constancy favors point-to-point links where conversion overhead is justified.

Historical Development

19th-Century Origins and AC-DC Wars

The development of electric power transmission in the 19th century stemmed from foundational discoveries in electromagnetism, beginning with Michael Faraday's 1831 demonstration of electromagnetic induction, which enabled the generation of alternating current (AC) via rotating magnets. Practical applications emerged in the 1870s with dynamo-electric generators, allowing centralized power production. The first commercial electric power station, Thomas Edison's Pearl Street Station in New York City, began operation on September 4, 1882, distributing direct current (DC) at 110 volts to nearby customers over underground copper conductors, serving 59 customers with incandescent lighting but limited to short distances due to resistive losses. Early transmission experiments included a 1882 overhead line from Miesbach to Munich, Germany, spanning 57 kilometers at 2 kilovolts using DC, marking one of the initial long-distance efforts. Limitations of DC systems, which required thick conductors for minimal voltage drop over distance, prompted exploration of AC, which could be transformed to higher voltages for efficient long-range transmission using newly invented transformers. In 1885, William Stanley developed the first practical AC transformer, facilitating voltage step-up. The "War of the Currents" intensified in the late 1880s as George Westinghouse licensed Nikola Tesla's polyphase AC patents from 1887-1888, enabling efficient motors and transmission, contrasting Edison's entrenched DC infrastructure. Edison aggressively opposed AC, funding campaigns including public electrocutions of animals using AC to highlight its dangers and lobbying for AC execution devices like the electric chair, first used in 1890. The conflict culminated in competitive bids for major projects; Westinghouse secured the contract for the 1893 Chicago World's Columbian Exposition, illuminating it with AC polyphase systems demonstrating scalability. Subsequently, in 1893, Westinghouse won the Niagara Falls hydroelectric project, operational by 1896, transmitting 11,000-volt three-phase AC over 32 kilometers, proving AC's superiority for high-power, long-distance distribution and effectively ending widespread DC advocacy. These events shifted industry standards toward AC, though DC persisted in urban centers until the early .

20th-Century Expansion and Standardization

The early saw the consolidation of fragmented local electric utilities into larger regional systems, enabling the construction of interconnected transmission networks that transmitted power over greater distances with improved reliability. In the United States, holding companies like those formed under facilitated mergers, resulting in monopolistic structures that invested in high-voltage lines operating above 100 kV by the 1910s, allowing connections spanning hundreds of miles. These interconnections reduced the need for redundant generating capacity and enabled power pooling during . In the United Kingdom, the Electricity (Supply) Act of 1926 created the Central Electricity Board, tasked with building a synchronized national grid at 132 kV and 50 Hz, linking major power stations to distribution networks; construction began in 1927 and the grid was largely operational by 1933, marking the first integrated, high-voltage AC transmission system of its scale. This infrastructure supported electrification of industry and homes, with electricity supply growing from 3.7 billion kWh in 1920 to over 10 billion kWh by 1938. Across continental Europe, bilateral ties among utilities evolved into multinational coordination, with the Union for the Coordination of Production and Transmission of Electricity (UCPTE) formed in 1951 to synchronize grids in , enabling cross-border power flows and reserve sharing among 10 countries by the early . Standardization of key parameters was essential for these expansions, as mismatched frequencies and voltages hindered interconnections. In , 60 Hz emerged as the dominant frequency by the 1920s, driven by the need for synchronous operation among utilities; earlier variations, such as 25 Hz or 133 Hz systems, were phased out or converted to avoid inefficiencies. In , 50 Hz became standard around the same period, with the UK's 1926 grid adopting it nationwide. The (IEC), founded in 1906, played a central role by issuing standards for transformers (e.g., IEC 60076 series for power transformers), overhead lines, and insulation coordination, which promoted uniform equipment design and reduced transmission losses through consistent high-voltage levels like 220 kV. Mid-century advancements included extra-high-voltage lines to handle surging demand; in the US, the first 345 kV line entered service in 1953, followed by 500 kV systems in the , minimizing I²R losses on long-haul transmission. Post-World War II reconstruction in similarly featured 380 kV lines, standardizing "supergrid" architectures for bulk transfer. These developments supported global rates, with US residential electricity use rising from under 10% of total generation in 1930 to a major share by 1950, fueled by rural extensions under the 1936 . By century's end, standardized grids had interconnected vast regions, underpinning while prioritizing empirical efficiency over fragmented designs.

Post-2000 Advancements and Global Projects

Since 2000, advancements in electric power transmission have focused on ultra-high-voltage (UHV) systems, (HVDC) expansions, and integration of monitoring technologies to reduce losses and accommodate variability. UHV alternating current (UHVAC) and UHVDC lines, operating above 800 kV for AC and ±800 kV for DC, enable efficient long-distance bulk power transfer with lower resistive losses compared to traditional high-voltage lines, as power capacity scales with the square of voltage. China's State Grid Corporation pioneered commercial UHV deployment, with the first UHVDC line operational in 2009, followed by 19 UHVAC and 20 UHVDC projects by 2023, totaling over 100,000 km of lines that transmit up to 12 GW per circuit from remote hydro and resources to load centers. HVDC systems, particularly voltage-source converter (VSC) technology, have proliferated for asynchronous grid interconnections and offshore wind integration, with 53 VSC-HVDC projects commissioned globally by 2022, up from early pilots in the 1990s. These systems offer black-start capability and precise control, contrasting with line-commutated converters used in earlier HVDC links. Advanced conductors, such as those with carbon or composite cores, emerged in the early , allowing up to fourfold capacity increases on existing towers by operating at higher temperatures without sagging, though adoption has lagged due to cost and regulatory hurdles. Transmission monitoring and optimization tools, including phasor measurement units (PMUs) for wide-area and dynamic line ratings that adjust capacity based on real-time weather data, have enhanced grid stability amid rising intermittent renewables. The U.S. Department of Energy identifies these as key to minimizing curtailments, with enabling reconfiguration to bypass faults or overloads without new . Global investments in such technologies are projected to drive transmission spending to $573.7 billion by 2030, spurred by decarbonization needs. Notable post-2000 projects include China's 2,000 km Xiangjiaba-Shanghai ±800 kV UHVDC line, energized in 2010, which delivers 7.2 GW from southwestern to eastern demand centers with transmission efficiency exceeding 75% over the distance. The ±800 kV Belo Monte UHVDC line in , spanning 2,084 km and operational since 2019, integrates hydro into the national grid, marking China's first UHV export to the Americas. In Europe, the 720 km HVDC interconnector between and the , completed in 2021 at 1,400 MW capacity, facilitates hydropower exports and wind balancing. These initiatives demonstrate HVDC/UHV's role in cross-regional , though challenges persist in right-of-way acquisition and converter station costs.

Technical Foundations

High-Voltage Efficiency and Loss Minimization

Power losses in transmission lines primarily consist of resistive (ohmic) losses, expressed as PL=I2RP_L = I^2 R, where II is the current and RR is the conductor resistance. For a given transmitted power P=VIP = V I, elevating the transmission voltage VV inversely reduces II, thereby quadratically decreasing PLP_L since PL=P2RV2P_L = \frac{P^2 R}{V^2}. This relationship underpins the use of voltages from 110 kV to over 1,000 kV in extra-high-voltage (EHV) and ultra-high-voltage (UHV) systems, enabling efficient bulk power transfer over hundreds of kilometers with total line losses often limited to 2-5% for typical configurations. Corona losses, a secondary but significant inefficiency at high voltages, occur due to dielectric breakdown and ionization of air surrounding conductors when the surface exceeds approximately 30 kV/cm (under standard conditions), leading to energy dissipation as , , and audible . These losses increase with voltage, conductor surface irregularities, and adverse , but can add only 1-2% to total losses in well-designed lines under fair . relies on increasing the effective conductor radius to lower the maximum surface , achieved via larger single conductors or, more commonly, bundled configurations with 2-4 (or more) sub-conductors per phase spaced 30-50 cm apart; this distributes the electric field and reduces corona inception voltage without proportionally increasing material costs. Bundling also lowers inductive reactance, aiding capacity, and is standard for lines above 230 kV, such as 3-conductor bundles in 345-500 kV systems. Other factors influencing efficiency include the skin effect, which confines AC current to the conductor periphery and effectively raises AC resistance by 5-10% at 60 Hz compared to DC (necessitating stranded designs), and dielectric losses in insulation, though minimal in overhead lines. Line optimization further incorporates series capacitors to compensate inductive reactance, improving power factor and reducing effective resistance seen by the source. Overall, these strategies ensure that high-voltage AC transmission achieves end-to-end efficiencies exceeding 95% for distances up to 500 km, with empirical data from operational grids confirming loss reductions proportional to voltage squared in comparative studies.

Electrical Modeling and Analysis

Transmission lines in electric power systems are electrically modeled to predict performance metrics such as , power losses, and stability under varying loads and faults. These models approximate the distributed nature of line parameters—resistance RR, LL, shunt conductance GG, and CC, expressed per unit length—derived from physical , conductor materials, and environmental factors. For steady-state , lumped-parameter equivalents simplify computations, while distributed models capture wave propagation effects essential for long lines exceeding 250 km or transient studies. Short transmission lines, typically under 80 km, are modeled as a lumped series impedance Z=(R+jωL)lZ = (R + j\omega L)l, where ll is line length and ω\omega is , neglecting shunt elements due to minimal capacitive effects at lower voltages and lengths. This approximation yields ΔV=IZ\Delta V = I Z, with II as current, sufficient for basic load flow but inaccurate for reactive power compensation. Medium-length lines, 80–250 km, employ nominal π\pi or T equivalents: the π\pi model places total series impedance ZZ centrally and half the total shunt Y=(G+jωC)lY = (G + j\omega C)l at each end, balancing series and shunt effects for improved accuracy in power transfer calculations. The T model concentrates shunt mid-line with series elements split, offering marginal precision gains in certain fault analyses but similar computational load. Long lines require distributed-parameter models to account for parameter variation along the length, governed by telegrapher's equations: dVdx=(R+jωL)I\frac{dV}{dx} = -(R + j\omega L)I and dIdx=(G+jωC)V\frac{dI}{dx} = -(G + j\omega C)V, solved via propagation constant γ=(R+jωL)(G+jωC)\gamma = \sqrt{(R + j\omega L)(G + j\omega C)}
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