# A NOVEL DEAD-TIME ELIMINATION STRATEGY FOR VOLTAGE SOURCE INVERTERS IN INDUCTION HEATING SYSTEMS THROUGH FRACTIONAL ORDER CONTROLLERS

## Keywords:

Dead-time, Full bridge series resonant inverter, Fuzzy control, Fractional order proportional integral derivative, Induction heating, Voltage source inverter, Zero voltage switching## Abstract

The voltage source inverter (VSI) based induction-heating systems consisting of full-bridge series resonant inverters use power switching devices such as the insulated-gate-bipolar-transistor (IGBT) to achieve zero current switching or zero voltage switching operation. Such a configuration is susceptible to shoot-through during switching periods and avoidance of shoot-through is achieved through the introduction of the dead time in general. However, it necessitates the inclusion of dead-time compensators to eliminate the adverse effects of the dead time. This paper proposes a novel voltage source inverter dead-time compensation strategy for induction heating systems that uses the fractional order proportional integral derivative (FOPID) controller. Although the integer-order proportional integral derivative (IOPID) controller is widely used for induction heating systems, it does not remove the impact of dead time and does not act as a compensator. The study covers the design and optimal tuning of the fractional order PID controller for the VSI fitted induction-heating system using fuzzy logic and compares the performance of the fuzzy FOPID controller with the standard IOPID controller. The simulations and corresponding results confirm that the fuzzy FOPID controller can appropriately compensate for the dead-time impact and can be considered a suitable control strategy for such induction heating systems. Modeling and simulations have been performed using MATLAB/ SIMULINK.

## References

(1) Ó. Lucía, P. Maussion, E.J. Dede, J.M. Burdío, Induction Heating Technology and its Applications: Past Developments, Current Technology, and Future Challenges, IEEE Transactions on Industrial Electronics, 61, 5, pp. 2509–2520 (2014).

(2) L. Chen, F.Z. Peng, Dead-Time Elimination for Voltage Source Inverters, IEEE Transactions on Power Electronics, 23, 2, pp. 574–580 (2008).

(3) Y. Yang, K. Zhou, H. Wang, F. Blaabjerg, Analysis and Mitigation of Dead Time Harmonics in the Single-Phase Full-Bridge PWM Converter with Repetitive Controllers, IEEE Transactions on Industry Applications, 54, 5, pp. 5343–5354 (2018).

(4) A. Cichowski, J. Nieznanski, Self-tuning dead-time compensation method for voltage-source inverters, IEEE Power Electronics Letters, 3, 2, pp. 72–75 (2005).

(5) N. Urasaki, T. Senjyu, K. Uezato, T. Funabashi, An adaptive dead-time compensation strategy for voltage source inverter fed motor drives, IEEE Transactions on Power Electronics, 20, 5, pp. 1150–1160 (2005).

(6) K. Zhou, Y. Yang, F. Blaabjerg, D. Wang, Optimal selective harmonic control for power harmonics mitigation, IEEE Transactions on Industrial Electronics, 62, 2, pp. 1220– 1230 (2015).

(7) T. Mannen, H. Fujita, Dead time compensation method based on current ripple estimation, IEEE Transactions on Power Electronics, 30, 7, pp. 4016–4024 (2015).

(8) Y. H. Yang, K. Zhou, M. Cheng, Phase compensation resonant controller for PWM converters, IEEE Transactions on Industrial Informatics, 9, 2, pp. 957–964 (2013).

(9) A. Chakraborty, D. Roy, T.K. Nag, P.K. Sadhu, N. Pal, Open Loop Power Control of a Two-Output Induction Heater, Rev. Roum. Sci. Techn.– Électrotechn. et Énerg., 62, 1, pp. 48–54 (2017).

(10) A. Chakraborty, P.K. Sadhu, A. Chakrabarti, A. Basak, N. Pal, Asymmetrical Duty Cycle Phase-shifted Dual Output Induction Cooker, Rev. Roum. Sci. Techn.– Électrotechn. et Énerg., 63, 1, pp. 65–70 (2018).

(11) A. Chakraborty, A. Chakrabarti, P.K. Sadhu, Source Current Harmonics Suppression in Domestic Induction Heater, Rev. Roum. Sci. Techn.– Électrotechn. et Énerg., 64, 1, pp. 45–50 (2019).

(12) A. Chakrabarti, P. K. Sadhu, A. Chakraborty, P. Pal, Brain Emotional Learning Based Intelligent Controller for Induction Heating Systems, Rev. Roum. Sci. Techn.– Électrotechn. et Énerg., 63, 1, pp. 58–64 (2018).

(13) P. K. Mohantya, B. K. Sahua, S. Pandab, Tuning and Assessment of Proportional–Integral–Derivative Controller for an Automatic Voltage Regulator System Employing Local Unimodal Sampling Algorithm, Electric Power Components and Systems, 42, 9, pp. 959–969 (2014).

(14) D. Vale´Rio, J. Sa` Da Costa, Introduction to single-input, single-output fractional control, IET Control Theory and Applications, 5, 8, pp. 1033–1057 (2011).

(15) C.A. Monje, B.M. Vinagre, V. Feliu, Y.Q. Chen, Tuning and auto-tuning of fractional order controllers for industry applications, Control Engineering Practice, 16, 7, pp. 798–812 (2008).

(16) C. Yeroglu, N. Tan, Note on fractional-order proportional–integral–differential controller design, IET Control Theory and Applications, 5, 17, pp. 1978–1989 (2011).

(17) A. Chakrabarti, A. Chakraborty, P.K. Sadhu, A Fuzzy Self-Tuning PID Controller with a Derivative Filter for Power Control in Induction Heating Systems, Journal of Power Electronics, 17, 6, pp. 1577–1586 (2017).

(18) X. Yang, C. Song, J. Sun, X. Wang, Simulation and Implementation of Adaptive Fuzzy PID, Journal of Networks, 9, 10, pp. 2574–2581 (2014).

(19) S. Furutani, A. Satake, T. Hozuki, Inverter Dead Time Compensation Method using On-Line tuning, IEEJ Journal of Industry Applications, 10, 2, pp. 264–272 (2020).

(20) Y. Ji, Y. Yang, J. Zhou, H. Ding, X. Guo, S. Padmanaban, Control strategies of mitigating deadtime effect on power converters: an overview, Electronics (Switzerland), 8, 2, [196].