Dynamic behavior of induction machines in ATP-EMTP with space harmonics

This work develops a space-vector model of a squirrel-cage induction machine that incorporates the effects of spatial harmonics arising from the winding distri bution. The modeling approach includes the first, fifth, and seventh spatial har monics, which are the components with the greatest influence on the machine’s magnetic field. Simulation results highlight the impact of these harmonics on the stator and rotor currents, the electromagnetic torque, and the machine’s speed. To build the model, the voltage behind reactances (VBR) technique is employed, enabling a hybrid strategy that combines circuit-based modeling tools-such as ATP-EMTP-with computational programming in models to complement the solution of the differential equations governing the behavior of the electrome chanical system. This methodology effectively transforms the induction ma chine into a dynamic Th`evenin-equivalent circuit for each phase of the converter. This study provides a useful framework for evaluating how space harmonics af fect the performance and operating characteristics of induction machines. The models were implemented using the ATP-EMTP software and its graphical in terface, ATPDraw.