Generalized Model Predictive Pulse Pattern Control Based on Small-Signal Modeling-Part 1: Algorithm

• Published in: IEEE transactions on power electronics Vol. 37; no. 9; pp. 10476 - 10487
• Main Authors: Dorfling, Tinus, Mouton, Hendrik du Toit, Geyer, Tobias
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Control systems; Controllers; Converters; Differential equations; Horizon; Linear systems; Model predictive control (MPC); Optimization; optimized pulse patterns (OPPs); Predictive control; Predictive models; Stators; Steady-state; Switches; Switching; synchronous optimal pulse width modulation; Tracking control; Tracking errors; Trajectory; Transient analysis
• ISSN: 0885-8993; 1941-0107
• DOI: 10.1109/TPEL.2022.3169113

A model predictive controller based on optimized pulse patterns is proposed that is suitable for higher-order linear systems, such as converters with <inline-formula><tex-math notation="LaTeX">LC</tex-math></inline-formula> filters. The controller manipulates the switching times of an optimized pulse pattern. The switching time modifications are approximated by the strengths of impulses, which are based on a small-signal linearization around the nominal switching instants. With these, the evolution of the state variables over the prediction horizon can be described by a set of linear differential equations. An objective function penalizes the predicted tracking error of the controlled variables, such as the converter currents, filter capacitor voltages, and grid currents, over a prediction horizon. Thanks to the use of impulse strengths, the underlying optimization problem is a convex quadratic program, which can be solved in real time to determine the switching time modifications of the pulse pattern to be applied by the controller.