Design of an adaptive I-PD controller for a five-level resonant inverter with selective harmonic elimination technique

• Дата: 2026
• Автори: Garmat, A., Toubal Maamar, A. E., Abdelouahed, T., Bensafi, N.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine 2026
• Теми: resonant multilevel inverter; adaptive control; selective harmonic elimination; induction heating
• Онлайн доступ: https://eie.khpi.edu.ua/article/view/342998
• Назва журналу: Electrical Engineering & Electromechanics

Introduction. Resonant inverters are indispensable in demanding applications such as induction heating, wireless energy transfer, and high-frequency power conversion systems. Problem. The main topologies for realizing resonant inverters are the half-bridge and full-bridge configurations, but the multilevel topology is not well-known for resonant inverters because their modeling and control design are challenging steps. The goal of this study is to investigate a five-level resonant inverter combined with the selective harmonic elimination (SHE) technique to eliminate the third harmonic and minimize the total harmonic distortion (THD). Methodology. The structure of the proposed inverter and the SHE modulation technique are presented to illustrate harmonic reduction in the applied voltage. To address the inherent nonlinearities of the system, the extended describing function (EDF) method is employed to derive a generalized small-signal state-space model from any defined input to any desired output. This model enables accurate prediction of system behavior around the operating point. Based on this model, an adaptive I-PD controller incorporating a model reference adaptive control (MRAC) mechanism, designed according to the Massachusetts Institute of Technology (MIT) rule, is developed. The adaptive mechanism continuously tunes the proportional, derivative, and integral gains to maintain the desired performance despite load and parameter changes. Results. Numerical simulations validate the accuracy of the developed model and demonstrate that the adaptive I-PD control significantly ensures the system’s robustness. The results indicate that the THD of voltage and current are 25.46 %, and 9.43 %, respectively. The third harmonic is well eliminated. The model prediction error, when compared to full MATLAB/Simulink nonlinear simulations, did not exceed 4.1 %, thereby validating the effectiveness and precision of the modeling approach. The presented MRAC-based adaptive I-PD controller demonstrates high performance in tracking reference signal and responds to abrupt changes of load parameter (30 % change of the resistance value), highlighting its effectiveness for current control in five-level resonant inverter system. Scientific novelty. The proposed framework combines SHE-based harmonic mitigation, EDF-based modeling, and MRAC-based adaptive I-PD control for multilevel resonant inverters. This integration provides a generalized and flexible approach for handling system nonlinearities and improving dynamic performance. Practical value. The results confirm the feasibility of implementing adaptive I-PD control for five-level resonant inverters. The proposed scheme ensures high efficiency, stable power regulation, and reliable operation, paving the way for industrial applications requiring precise temperature control and robust performance under varying load conditions. References 28, table 1, figures 17.