Abstract
This chapter presents a novel mathematical technique for the design of proportional-integral (PI) controller parameters in order to study small signal stability of an AC drive system (comprising of matrix converter and three-phase induction motor). The mathematical model of the drive system is developed in synchronous rotating reference frame. Mathematics is a precise and concise language with well-defined rules, and thus, the modeled system is a close approximation of the hardware setup. The PI controller parameters are designed for a change in the reference step input signal using the D-partition method. The characteristic equations of the system are derived using small perturbation about the stable operating point. Using the mathematical technique, a closed region (stable) in the parameter plane is obtained, frequency scanning technique is used to evaluate the stability of the probable region in parametric plane, and later, the accuracy of the designed controller parameters is validated in the MATLAB/Simulink environment.
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