Control of an LLC Resonant Converter Using Load Feedback Linearization

LLC resonant converter is a nonlinear system, limiting the use of typical linear control methods. This paper proposed a new nonlinear control strategy, using load feedback linearization for an LLC resonant converter. Compared with the conventional PI controllers, the proposed feedback linearized control strategy can achieve better performance with elimination of the nonlinear characteristics. The LLC resonant converter's dynamic model is built based on fundamental harmonic approximation using extended describing function. By assuming the dynamics of resonant network is much faster than the output voltage and controller, the LLC resonant converter's model is simplified from seven-order state equations to two-order ones. Then, the feedback linearized control strategy is presented. A double loop PI controller is designed to regulate the modulation voltage. The switching frequency can be calculated as a function of the load, input voltage, and modulation voltage. Finally, a 200 W laboratory prototype is built to verify the proposed control scheme. The settling time of the LLC resonant converter is reduced from 38.8 to 20.4 ms under the positive load step using the proposed controller. Experimental results prove the superiority of the proposed feedback linearized controller over the conventional PI controller.

[1]  A. Emadi,et al.  A New Battery/UltraCapacitor Hybrid Energy Storage System for Electric, Hybrid, and Plug-In Hybrid Electric Vehicles , 2012, IEEE Transactions on Power Electronics.

[2]  Ningning Wang,et al.  Review of Integrated Magnetics for Power Supply on Chip (PwrSoC) , 2012, IEEE Transactions on Power Electronics.

[3]  Weiyi Feng,et al.  Optimal trajectory control of LLC resonant converters for soft start-up , 2013, 2013 Twenty-Eighth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[4]  A Kwasinski,et al.  Dynamic Behavior and Stabilization of DC Microgrids With Instantaneous Constant-Power Loads , 2011, IEEE Transactions on Power Electronics.

[5]  P. Mattavelli,et al.  Optimal Trajectory Control of Burst Mode for LLC Resonant Converter , 2013, IEEE Transactions on Power Electronics.

[6]  P. Mattavelli,et al.  Simplified Optimal Trajectory Control (SOTC) for LLC Resonant Converters , 2013, IEEE Transactions on Power Electronics.

[7]  F. Lee,et al.  LLC resonant converter for front end DC/DC conversion , 2002, APEC. Seventeenth Annual IEEE Applied Power Electronics Conference and Exposition (Cat. No.02CH37335).

[8]  Wuhua Li,et al.  Review of Nonisolated High-Step-Up DC/DC Converters in Photovoltaic Grid-Connected Applications , 2011, IEEE Transactions on Industrial Electronics.

[9]  Bo Zhang,et al.  Stabilizing the Nonlinear Dynamic Behavior of LLC Resonance Full-Bridge DC-DC Converter Under Voltage Mode Control , 2014, 2014 International Power Electronics and Application Conference and Exposition.

[10]  Paolo Mattavelli,et al.  Optimal Trajectory Control of LLC Resonant Converters for LED PWM Dimming , 2014, IEEE Transactions on Power Electronics.

[11]  F. C. Lee,et al.  Optimal Trajectory Control of LLC Resonant Converters for Soft Start-Up , 2014 .

[12]  I. Batarseh,et al.  Modeling and Control of Three-Port DC/DC Converter Interface for Satellite Applications , 2010, IEEE Transactions on Power Electronics.

[13]  Gun-Woo Moon,et al.  LLC Resonant Converter With Adaptive Link-Voltage Variation for a High-Power-Density Adapter , 2010, IEEE Transactions on Power Electronics.

[14]  Changliang Xia,et al.  Theoretical Evaluation of Stability Improvement Brought by Resonant Current Loop for Paralleled LLC Converters , 2015, IEEE Transactions on Industrial Electronics.

[15]  Fujio Kurokawa,et al.  A new quick response digital modified P-I-D control LLC resonant converter for DC power supply system , 2011, 2011 IEEE Ninth International Conference on Power Electronics and Drive Systems.

[16]  Bo Yang,et al.  Topology investigation of front end DC/DC converter for distributed power system , 2003 .

[17]  Hao Ma,et al.  A sliding-mode control scheme for llc resonant DC/DC converter with fast transient response , 2012, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society.

[18]  C.L. Chia,et al.  A Novel Robust Control Method for the Series–Parallel Resonant Converter , 2009, IEEE Transactions on Power Electronics.

[19]  Byungcho Choi,et al.  Dynamic analysis and control design of optocoupler-isolated LLC series resonant converters with wide input and load variations , 2009, 2009 IEEE Energy Conversion Congress and Exposition.

[20]  Chien-Hsuan Chang,et al.  Small Signal Modeling of LLC Resonant Converters Based on Extended Describing Function , 2012, 2012 International Symposium on Computer, Consumer and Control.

[21]  Concettina Buccella,et al.  Observer-Based Control of LLC DC/DC Resonant Converter Using Extended Describing Functions , 2015, IEEE Transactions on Power Electronics.

[22]  G. Ivensky,et al.  Approximate Analysis of Resonant LLC DC-DC Converter , 2011, IEEE Transactions on Power Electronics.

[23]  Soib Taib,et al.  LLC series resonant converter with PID controller for battery charging application , 2014, 2014 IEEE Conference on Energy Conversion (CENCON).

[24]  István Nagy,et al.  Stability analysis of a feedback-controlled resonant DC-DC converter , 2003, IEEE Trans. Ind. Electron..

[25]  Yan Liang,et al.  Optimal design methodology for LLC resonant converter , 2006, Twenty-First Annual IEEE Applied Power Electronics Conference and Exposition, 2006. APEC '06..

[26]  Xiaodong Li,et al.  Analysis and Design of High-Frequency Isolated Dual-Bridge Series Resonant DC/DC Converter , 2010, IEEE Transactions on Power Electronics.

[27]  Fred C. Lee,et al.  Small Signal Analysis for LLC Resonant Converter , 2003 .

[28]  Byungcho Choi,et al.  Average current-mode control for LLC series resonant dc-to-dc converters , 2012, Proceedings of The 7th International Power Electronics and Motion Control Conference.

[29]  Byungcho Choi,et al.  Current mode control for LLC series resonant dc-to-dc converters , 2011, APEC 2011.

[30]  Byungcho Choi,et al.  Current mode control for LLC series resonant dc-to-dc converters , 2011, 2011 Twenty-Sixth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[31]  Fariborz Musavi,et al.  Novel small signal modeling and control of an LLC resonant converter , 2014, 2014 IEEE Applied Power Electronics Conference and Exposition - APEC 2014.

[32]  Yan-Fei Liu,et al.  Bang-Bang charge control for LLC resonant converters , 2013, 2013 IEEE Energy Conversion Congress and Exposition.

[33]  Yi-Hua Liu,et al.  Design and implementation of a digitally-controlled LLC resonant converter for battery charging applications , 2013, 2013 IEEE 10th International Conference on Power Electronics and Drive Systems (PEDS).

[34]  T. Duerbaum,et al.  Discrete modeling of resonant converters — Steady state and small signal description , 2012, 2012 IEEE Energy Conversion Congress and Exposition (ECCE).

[35]  Ali Emadi,et al.  A new battery/ultra-capacitor hybrid energy storage system for electric, hybrid and plug-in hybrid electric vehicles , 2009, 2009 IEEE Vehicle Power and Propulsion Conference.

[36]  Chandan Chakraborty,et al.  Determination of stable region of controller parameters for series-parallel resonant converter with capacitive output filter , 2011, 2011 IEEE International Symposium on Industrial Electronics.

[37]  Zhijian Fang,et al.  Optimal Design Methodology for LLC Resonant Converter in Battery Charging Applications Based on Time-Weighted Average Efficiency , 2015, IEEE Transactions on Power Electronics.

[38]  Reza Iravani,et al.  Dynamic performance of a modular multilevel back-to-back HVDC system , 2010, 2011 IEEE Power and Energy Society General Meeting.

[39]  A.J. Gilbert,et al.  Analysis of CLL Voltage-Output ResonantConverters Using Describing Functions , 2008, IEEE Transactions on Power Electronics.

[40]  K. Higuchi,et al.  Robust digital control for an LLC current-resonant DC-DC converter , 2012, 2012 9th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology.

[41]  Milan M. Jovanovic,et al.  Design-Oriented Analysis and Performance Evaluation of Buck PFC Front-End , 2009, 2009 Twenty-Fourth Annual IEEE Applied Power Electronics Conference and Exposition.

[42]  Chen Qi,et al.  Uniform Models of PWM DC–DC Converters for Discontinuous Conduction Mode Considering Parasitics , 2014, IEEE Transactions on Industrial Electronics.