Electric Machines and Drives

Appendix A: Numerical Simulation of Dynamical Systems

A.1 Introduction

Throughout this book, we have dealt with differential equations that describe the dynamic behavior of electric machines. Solution of these equations yields the response of the machine to the supply and load applied to it. Given the form and quantity of dynamic equations of a machine, it is evident that obtaining a closed form, analytical solution is a daunting and prohibitively difficult task. The addition of nonlinear and switching power electronic circuits only aggravates the complexity of the problem.

Alternatively, we may use numerical integration techniques to solve the differential equations of a machine. The benefit of a numerical solution is in its simplicity ...