A Mathematical Model of a DC Machine

Abstract

This research aims to determine how a mathematical model may predict the effects of a shorted and/or opened armature coil on a d-c machine. A mathematical model and a simulating computer were developed for a particular 0.375 kW d-c machine under both healthy and faulty conditions. The model was based on the coupled-coil theory, with a set of first order differential equations that were solved in the time domain. New techniques for measuring inductances on a particular d-c machine were implemented in order to acquire data for development of a simulation. The research found that measurements of armature current waveform, including commutator ripple, agreed quite well with the simulated waveform.