The equivalent network of the balanced polyphase induction motor has been discussed by many authors, but those of the unbalanced induction motors have never been discussed, except some special cases, as far as the author knows.
The author reduces the equivalent networks of the unbalanced induction motors of the following four cases.
1. Case of the unbalanced voltages impressed upon terminals of the poly phase induction motor.
In this case the primary current is the resultant of two current vectors, Which can be obtained by the equivalent circuits of two balanced induction motors respectively. The current locus of the primary current is not a circle, but becomes a hither algebraic curve called "Bicircular quartics".
2. Singh phase induction motor.
Single phase induction motor is a special case of the case 1., but the author treated separately & reduces the equivalent network The current locus becomes also, a curve of "Bicircular quartics", which in this case approximate1y becomes a circle.
3. Case of the unbalanced external resistauces added to the secondary phiase windings.
The author reduces the equivalent network & the current locus of the primary current by solving differential equations to this case.
The primary currents divided in two symmetrical components, both describe higher algebraic curves, the one has the same frequency with that of the supply voltage, & the other has a frequency of (28-1) times the frequency of the supply voltabe, where 8 is a slip.
4. Case of the polyphase induction motor with single phase secondary winding.
This is a special case of the case 3., & this is known as Görges' Phenomena.The auther reduces also the equivalent network & the current locus.
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