The Mathematical Model for Analysis and Evaluation of the Transient Process of the three‒phase Asynchronous Machine Performance

Abstract

This paper describes an adopted method which could be used in transient process modelling of three‒phase asynchronous machines on the computer. Converter asynchronous electric machine feeding requires a detailed research of the transient process influence and the dynamic states of energy exchange between the electrical circuit feeding and the machine itself. A mathematical model has been formulated in order to solve the transient process of the three-phase asynchronous electric machine referring to the two asynchronous machines and containing two matrix models defined by Park’s d - q components. In the system of symmetrical components the state and the operation of the first machine was defined based on relations and operation conditions of a direct sequence system and of other machines based on relations and operation conditions of an inverse sequence system. The new method has been derived from the existing psbpwm MATLAB package. The new model simulates the state and operation of a single machine with identical parame-ters through the state and operation of the two machines with identical parameters: the first in a direct sequence system and the others in an inverse sequence system. Operation analysis of the three‒phase induction machine is limited to a transient process occurring in the right angled shape of voltage feeding. The new presented model can, with certain limitations, be applied not only to a three‒phase asynchro-nous machine model but to other alternating current machines which have a stator and a rotor. The experiment has been performed following an example of asym-metrical feeding followed by inverse component phenomena of electrical and mechanical values in the machine.