Numerical Analysis of Mechatronic Systems with Pulse Width Modulation

Pulse width modulation is widely used in modern engine control systems. With this control method, power is regulated by periodically turning on and off the load for a specified period of time. Mathematical models of dynamic systems with this control method are hybrid dynamic systems. To model such systems, it is necessary to take into account the features of continuous-event processes obtained by solving the Cauchy problem with a discontinuous right-hand side. In particular, not only special integration methods are required, but also event detection algorithms. The article discusses the detection algorithm implemented in the SimInTech software package at the structural level of model description. An analysis of the modeling accuracy was carried out using the example of a simple servo drive with pulse-width modulation with different options for event detection. The original detection algorithm in combination with the original ARK integration method was successfully tested when simulating servo drives with a pulse width modulator.