Monday , September 21 2020

A New Adaptive Control Scheme for
Induction Heating System


Laboratoire de Génie Electrique et Energies Renouvelables,
Université Hassiba Benbouali,
Hay Salem, route nationale N° 19, 02000 Chlef, Algérie

* Corresponding author

Abstract: This paper proposes the design of a new adaptive power control scheme for full bridge series-parallel resonant inverter with AVC control strategy. This scheme is used to control the heating process by adjusting the output power of the inverter irrespective of load and line variations. Two independent control loops are used in this technique: power control loop and frequency control loop (PLL). In the first, an adaptive PID controller with parallel structure is used to force the output power to track the desired trajectory. The adaptive PI controller of the PLL varies the DC input of the VCO in order to generate the required output frequency to maintain ZVS operating during the heating process. The desired performances of the closed loop control are given by two independent reference models. The design of the adaptive mechanism is based on MIT rule and the small signal model of the inverter around the operating point. Compared with other works, the adaptive mechanism redesigns the parameter gains of the PID and the PI controllers in order to avoid the disturbance. Simulation results confirm the effectiveness of the proposed system.

Keywords: H Bridge Resonant Inverter, Induction Heating, PLL, PI, PID, MIT rule, Design, Simulation.

>Full text
M’Hamed HELAIMI, Djilali BENYOUCEF, Rachid TALEB, Bachir BELMADANI, A New Adaptive Control Scheme for Induction Heating System, Studies in Informatics and Control, ISSN 1220-1766, vol. 24 (2), pp. 181-190, 2015.

  1. Introduction

Induction heating is a very complex process that involves multi-physics couplings such as electromagnetic, thermal and mechanical. Its application permits to heat a ferromagnetic work piece with better heat distribution, more accuracy and low power consumption [1]-[2].

Recently, a full bridge series-parallel resonant inverter with AVC control strategies is the most widely used topology due to its high reliability. This structure can deliver three level output voltage from DC input voltage [3]-[8].

Induction heating systems are known as complex non linear multivariable problems in which a time-varying structure and parameters variation during the heating phase entail an additional difficulty for modeling and control purposes [9]. Generally, Extending Describing Function methods are used to establish a small signal model of the overall system from any desired input to any desired output [9]-[13].

In control practice, the closed control diagram of induction heating system consists of two control loops: power control loop and frequency control loop (PLL) [9]-[11]. A PID controller with parallel structure is the most popular algorithm used in power control loop [14]-[15]. The conventional PLL with a phase comparator, a low pass filter and linear voltage controlled oscillator (VCO) is the most used [16]. Performance of these control loops with constant gain of PID and PLL diminishes under disturbance and load variations. This problem can be solved by using adaptive control techniques.

Compared with other papers [17]-[20], the basic idea of this work is to propose a new power control scheme based on two adaptive control loops. In the frequency control loop, an adaptive PI controller is introduced between the phase detector and the VCO. This controller is used to adjust the DC input voltage of the VCO for tracking the resonant frequency of the system in order to maintain the ZVS operation during the heating process. In the power control loop, an adaptive PID controller with a parallel structure is used to adjust the shifted angle of the switches to control the output power of the inverter. The required performances of two control loops are expressed by two reference models. An adaptive mechanism based on MRAC and MIT rule [21]-[28] is used to redesigns the gains parameters of PI and PID controllers in accordance to the change in the induction heating system and the rectifier.

This paper is organized as follows: the resonant inverter configuration and the complete closed loop diagram of the proposed control are given in Section 2 and 3, respectively. A Generalized small signal model of the overall system is developed in Section 4. The adaptive power control scheme controller design is introduced in Section 5. Some simulation results are given in Section 6. Finally, Section 7 concludes this paper.


  1. NAMADMALAN, A., J. S. MOGHANI, Single-Phase Current Source Induction Heater with Improved Efficiency and Package Size, Journal of Power Electronics, Vol. 13, no. 2, 2013, pp. 322-328.
  2. BAL, G., S. ONCU, E. OZBAS, Self-Oscillated Induction Heater for absorption Cooler, Elektronika IR Elektrotechnika, Vol. 19, no.10, 2013, pp. 45-48.
  3. CHUDJUARJEEN, S., A. SANGSWANG, C. KOOMPAI, An Improved LLC Resonant Inverter for Induction-Heating Applications with Asymmetrical Control, IEEE Transactions on Industrial Electronics, vol.58, no.7, 2011, pp. 2915-2925.
  4. KUKKU, J., K. K. BENNY, High Frequency LLC Resonant Inverter for Induction Heating with Asymmetrical Control, Int. Jour. of Advanced Information Science and Technology, Vol. 30, no. 30, 2014, pp. 257-262.
  1. BOOMA, N., R. R. SATHI, V. PRADEEP, Comparative Analysis of Various Modulation Strategies for Induction Heating System, Applied Mechanics and Materials, Vol. 622, 2014, pp. 39-43.
  2. KONGSAKORN, P., A. JANGWANITLERT, A Two-Output High Frequency Series-Resonant Induction Heater, International Conference on Electrical Engineering / Electronics Computer Telecommunications and Information Technology (ECTI-CON), Chaing Mai, 19-21 May 2010.
  3. JITTAKORT, J., S. YACHIANGKAM, A. SANGSWANG, S. NAETILADDANON, C. KOOMPAI, S. CHUDJUARJEEN, A Variable-Frequency Asymmetrical Voltage Cancellation Control of Series Resonant Inverters in Domestic Induction Cooking, 8th International Conference on Power Electronics and ECCE Asia (ICPE & ECCE), Jeju, May 30-June 3, 2011.
  4. YACHIANGKAM, S., A. SANGSWANG, S. NAETILADDANON, C. KOOMPAI, S. CHUDJUARJEEN, Resonant Inverter with a Variable-Frequency Asymmetrical Voltage-Cancellation Control for Low Q-Factor Loads in Induction Cooking, Proc. of the 14th European Conference on Power Electronics and Applications (EPE 2011), Birmingham, Aug. 30-Sept. 1, 2011.
  5. HELAIMI, M., M. BENGHANEM, B. BELMADANI, An Improved PIλ Controller for Resonant Inverter Induction Heating Systems under Load and Line Variations, Studies in Informatics and Control, Vol. 21, no. 4, 2012.
  6. ROY, C. P., Control Analysis of a High Frequency Resonant Inverter for Induction Cooking Application, Int. Journal of Research in Engineering and Technology, Vol. 4, no. 3, 2015, pp. 340-348.
  7. HONG-YU, L., L. XIADONG, L. MING, H. SONG, A Linearized Large Signal Model of an LCL-Type Resonant Converter, Energies. Vol. 8, 2015, pp. 1848-1864.
  8. HU, M., N. FRÖHLEKE, J. BÖCKER, Small-Signal Model and Control Design of LCC Resonant Converter with a Capacitive Load Applied in Very Low Frequency High Voltage Test System, IEEE on Energy Conversion Congress and Exposition ECCE’2009, San Jose, 2009, pp. 2972-2979.
  9. KONGSAKORN, P., A. JANGWANITLERT, Small Signal Modeling of a Two-Output High Frequency Series-Resonant Induction Heater”, 11th International Conference on Electrical Engineering, Electronics, Computer, Telecommunications and Information Technology (ECTI-CON), Nakhon Ratchasima, 14-17 May 2014.
  10. POPESCU, M. A. BITOLEANU, Power Control System Design in Induction Heating with Resonant Voltage Inverter, Journal of Automation and Control Engineering, Vol. 2, no. 2, 2014, pp. 195-198.
  11. POPESCU, M., A. BITOLEANU, E. SUBTIRELU, Design and Performance of the Voltage Control Loop in Induction Heating Systems with L-LC Resonant Inverters, Annals of the University of Craiova, Electrical Engineering series, no. 37, 2013, pp. 39-43.
  12. NAMADMALAN, A., J. S. MOGHANI, J. MILIMONFARED, A Current-Fed Parallel Resonant Push-Pull Inverter with a New Cascaded Coil Flux Control for Induction Heating Applications, Journal of Power Electronics, Vol. 11, no. 5, September 2011.
  13. SZELITZKY, T., E. H. DULF, Adaptive Control in Series Load PWM Induction Heating Inverters, Journal of Electronics, Vol. 100, no. 12, 2013, pp. 1714-1723.
  14. GANG, Z., W. CHAO, G. YUNWANG, B. TING, A Frequency Adaptive Controller for Induction Heating Power Supply, Third Global Congress on Intelligent Systems (GCIS), Wuhan, 6-8 Nov. 2012.
  15. PAESA, D., C. FRANCO, S. LIORENTE, G. LOPEZ-NICOLA, C. SAGUES, Adaptive Simmering Control for Domestic Induction Cookers, IEEE Transaction on Industry Applications, vol. 47(5), 2011, pp. 2257-2267.
  16. LUCIA, O., J. M. BURDIO, I. MILLAN, J. ACERO, D. PUYAL, Load-Adaptive Control Algorithm of Half-Bridge Series Resonant Inverter for Domestic Induction Heating, IEEE Transactions on Industrial Electronics, 56, no. 8, 2009, pp. 3106-3116.
  17. SWARNKAR, P., S. JAIN, R. K. NEMA, Effect of Adaptation Gain in Model Reference Adaptive Controlled Second Order System, Engineering, Technology & Applied Science Research, Vol. 1, no. 3, 2011 pp. 70-75.
  18. SAR, S. K., MRAC Based PI Controller for Speed Control of D.C. Motor Using Lab View, WSEAS Transactions on Systems and Control, Vol. 09, 2014, pp. 10-15.
  19. XIAO, S., Y. LI, J. LIU, A Model Reference Adaptive PID Control for Electromagnetic Actuated Micro-positioning Stage, IEEE Inter. Conf. on Automation Science and Engineering (CASE), Seoul, Korea. August 20-24, 2012, pp. 97-102.
  20. VIJULA, A., N. DEVARAJAN, Design of Decentralised PI Controller using Model Reference Adaptive Control for Quadruple Tank Process, International. Journal of Engineering and Technology, Vol. 5, no. 6, 2014, pp. 5057-5066.
  21. GHANEM, S. A. M., H. SHIBLY, D. SOEFFKER, Enhanced Adaptive Controller using Combined MRAC and STC Adaptive Control Approaches for the Control of Shape Memory Alloy Wire, Proceedings of the World Congress on Engineering and Computer Science 2010 WCECS 2010, October 20-22, 2010, San Francisco, USA.
  22. TORRES, L. H. S., SCHNITMAN, C. A. V. V. JÚNIOR, J. A. M. F. de SOUZA, Feedback Linearization and Model Reference Adaptive Control of a Magnetic Levitation System, Studies in Informatics and Control, Vol. 21, no. 2, 2012.
  23. KOROPOULI, V., A. GUSRIALDI, D. LEE, ESC-MRAC of MIMO Systems for Constrained Robotic Motion Tasks in Deformable Environments, European Control Conference (ECC) June 24-27, 2014. Strasbourg, France.
  24. HAGHI, P., K. B. ARIYUR, Adaptive Feedback Linearization of Nonlinear MIMO Systems Using ES-MRAC, American Control Conference (ACC) Washington, DC, USA, June 17-19, 2013.
  25. AHMED, N. A., Three-phase High Frequency AC Conversion Circuit with Dual Mode PWM/PDM Control Strategy for High Power IH Applications, PWASET Vol. 35, 2008, pp 371-377.