Purpose The purpose of this study is to propose an effective and computationally efficient modeling technique for the analysis of closed-loop AC-DC Boost power factor correction converters. This research aims to simplify the complex analysis of both power and control circuits by transforming dynamic differential equations into purely algebraic forms, thereby reducing computational costs without sacrificing accuracy. Design/methodology/approach The method is based on the algebraization of dynamic circuit elements, such as capacitors and inductors, using a first-order Taylor series expansion. This transformation allows dynamic components to be modeled as equivalent resistive circuits with updated sources at each simulation step. This study uses modified nodal analysis (MNA) to derive a unified algebraic system equation that integrates both the power stage and the control loop – specifically Average Current Mode control – within the same discrete-time framework. Findings Simulation results for Boost power factor correction converters operating in both Continuous Conduction Mode and Discontinuous Conduction Mode validate the accuracy of the proposed model against conventional Backward Euler methods and commercial software like PSIM and MATLAB/Simulink. The findings of this study demonstrate that the proposed algebraic approach achieves a significant reduction in execution time (approximately 30% – 40%) and memory utilization (approximately 40%–60%) compared to traditional numerical integration methods. Originality/value The originality of this work lies in the unified algebraic formulation that treats switching devices, dynamic elements and digital control loops consistently within the modified nodal analysis framework. Unlike conventional hybrid or averaged models, this explicit discrete-time representation captures instantaneous interactions in both Continuous Conduction Mode and Discontinuous Conduction Mode without requiring distinct state-space models or iterative matrix inversions. This study offers a computationally lightweight and pedagogically transparent tool suitable for real-time analysis and digital control prototyping.
Talab et al. (Thu,) studied this question.