Functional Verification of Proportional Resonant Controller - PR Controller Analysis

This document discusses the proportional resonant controller, its functional verification, and PR controller implementation. Specifically, the proportional resonant controller is a specialized control algorithm that regulates harmonic components to achieve improved output performance. The controller operates by modulating input signals to match the system's resonance frequency, enabling precise harmonic control through frequency-selective gain characteristics. The PR controller combines proportional and resonant control actions, compensating for system errors to enhance both response speed and stability. In practical implementation, PR controllers typically utilize transfer functions with selective frequency peaks, often implemented in digital control systems using difference equations or z-domain representations. The document also addresses third and higher-order harmonics, which represent specific frequency components present in the system. Analyzing these harmonics through frequency domain techniques (such as FFT analysis in MATLAB/Simulink environments) provides deeper insights into system performance, enabling better control optimization strategies. Harmonic analysis typically involves monitoring specific frequency bins corresponding to harmonic orders and implementing selective compensation through multiple parallel resonant controllers tuned to target frequencies.