Steady state and transient analysis of a short primary linear induction motor using A d,q axis pole-by-pole model
Abstract
The coupled circuit model for a round rotor induction machine was modified by formulating an equivalent circuit for each of the secondary (rotor) poles to allow simulation of linear induction machine (LIM) behavior. The d.q axis representation of a four pole machine led to a tenth order differential equation (increased by two orders for each additional pole pitch of secondary material modeled) capable of rapid and inexpensive predictions of LIM behavior. Solution of both steady state and transient conditions with either sinusoidal or nonsinusoidal excitation was feasible with the model. The derivation of formulas to calculate the model's equivalent circuit parameters showed that formulas for round rotor induction machines may be applied, after a change of variable to linear induction machines. The only exception was the calculation of end turn leakage reactance, which uses a transmission line formula. Model predictions indicated the formula for primary leakage reactance gave a value which was too small.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1977
- Bibcode:
- 1977PhDT........21N
- Keywords:
-
- Circuits;
- Induction Motors;
- Steady State;
- Differential Equations;
- Models;
- Rotating Electrical Machines;
- Simulation;
- Electronics and Electrical Engineering