Hubbry Logo
search
logo
696041

Circle diagram

logo
Community Hub0 Subscribers
Write something...
Be the first to start a discussion here.
Be the first to start a discussion here.
See all
Circle diagram

The circle diagram (also known as a Heyland, Ossanna, or Sumec diagram or ... circle) is the graphical representation of the performance of an electrical machine in terms of the locus of the machine's input voltage and current. It was first conceived by Alexander Heyland [de] in 1894 and Bernhard Arthur Behrend in 1895, and subsequently improved by Johann Ossanna [de] in 1899 and Josef Sumec [d] in 1910.

In particular, Sumec's contribution was to incorporate the rotor resistance.

The Heyland diagram is an approximate representation of a circle diagram applied to induction motors, which assumes that stator input voltage, rotor resistance and rotor reactance are constant and stator resistance and core loss are zero.

The theory of the Heyland diagram begins with Steinmetz's analysis of an induction motor as a real transformer attached to a varying resistance:

As the motor speed varies, so does the resistance, as does the current through the motor. The circle diagram obtains its name because the real and imaginary parts of the current phasor from a circle in the complex plane.

Further information can be obtained through additional geometric constructions on the same plot. The appropriate scale identifies current with power, multiplying the current by the phase voltage and the number of phases.

A complete diagram, with all possible information marked, is:

where

See all
User Avatar
No comments yet.