Different Approaches in Numerical Solution of Continuous Mathematical Models of Induction Machine

Abstract

Important parameters of an induction motor drives include dynamics and efficiency. Both attributes are tightly associated with accurate acquisition of hardly measurable quantities such as magnetic flux (and its position) and motor torque. The mathematical model of the induction machine is used for calculation of these quantities. The model usually comprises of a set of differential equations, that have to be numerically solved inside drive's controller. Computation time requirement and accuracy of the resulting estimation are important parameters of the selected solver. For this purpose, Euler's method was usually used in engineering applications, but with increasing computational throughput of DSP, more complicated numerical methods can be applied too. This paper strives to compare Euler's method with 4thorder Runge-Kutta method.