Majid Abdullateef Abdullah, Chee Wei Tan, Abdul Halim Yatim, M. R. Al-Mothafar, Saleh M. Radaideh

Input Current Control of Boost Converters using Current-Mode Controller Integrated with Linear Quadratic Regulator

The application of power electronic converter in the renewable energy systems significantly increases their efficiencies by maintaining the operation of these systems at the optimal operating points, therefore, absorbing the maximum available power from the renewable sources all the time. In this paper, the small-signal models of the open-loop, current-mode controlled boost converter are derived. In addition, both the Current Mode Control (CMC) and the Linear Quadratic Regulator (LQR) methods are combined to design a controller that forces the input current of the converter to follow accurately a reference current, which could be generated using maximum power point tracking (MPPT) algorithms. The controller performance is tested under transient conditions and with disturbance signals using MATLAB/Simulink simulation package. The simulation results indicate that both a good response and disturbance rejection are achieved in tested conditions.

Keywords:

Boost converter; Peak current mode control; Linear quadratic regulator; Renewable energy.,

PDF

___

Abdullah MA, Yatim AHM, Chee Wei T. A study of maximum power point tracking algorithms for wind energy system. 2011 IEEE First Conference on Clean
Energy and Technology (CET), 2011. p. 321-6.
Muhtaroglu A. A novel digital MPPT control architecture for renewable system integration. 2010 IEEE International
Technologies (ICSET), 2010. p. 1-4. on Sustainable Energy
Brunton SL, Rowley CW, Kulkarni SR, Clarkson C. Maximum power point tracking for photovoltaic optimization using ripple-based extremum seeking control. IEEE Transactions on Power Electronics, ;25:2531-40.
Esram T, Chapman PL. Comparison of photovoltaic array maximum power point tracking techniques. IEEE Transactions on Energy Conversion. 2007;22:439-49.
Abdullah MA, Yatim AHM, Tan CW, Saidurb R. A review of maximum power point tracking algorithms for wind energy systems. Renewable and Sustainable Energy Reviews, vol. 16, pp. 3220-3227, 2012.
Neammanee B, Sirisumranukul S, Chatratana S. Control performance analysis of feedforward and maximum peak power tracking for small-and medium-sized fixed pitch wind turbines. '06 9th International Conference on Control, Automation, Robotics and Vision, 2006 ICARCV, 2006. p. 1-7.
Kesraoui M, Korichi N, Belkadi A. Maximum power point tracker of wind energy conversion system. Renewable Energy. 2011;36:2655-62.
Patsios C, Chaniotis A, Rotas M, Kladas AG. A comparison of maximum-power-point tracking control techniques generators. 8th International Symposium on Advanced Electromechanical Motion Systems & Electric Drives Joint Symposium, 2009. p. 1-6. variable-speed wind
Hua ACC, Cheng BCH. Design and implementation of power converters for wind energy conversion system. International Power Electronics Conference (IPEC), p. 323-8. Koutroulis E, Kalaitzakis K. Design of a maximum power tracking system for wind-energy-conversion applications. IEEE Transactions on Industrial Electronics. ;53:486-94. Ridley RB. A new, continuous-time model for power current-mode Transactions on Power Electronics,. 1991;6:271-80. convertors]. IEEE
Tang W, Lee FC, Ridley RB. Small-signal modeling of average current-mode control. IEEE Transactions on Power Electronics,. 1993;8:112-9.
Midya P, Krein PT, Greuel MF. Sensorless current mode control-an observer-based technique for. IEEE Transactions on Power Electronics,. 2001;16:522-6.
Anderson BDO, Moore JB. Optimal Control, Linear Quadratic Methods: Prentice Hall; 1990.
Liu H, Mao C, Lu J, Wang D. Optimal regulator- based control of electronic power transformer for distribution systems. Electric Power Systems Research. ; 79:863-70. Jaen C, Pou J, Pindado R, Sala V, Zaragoza J. A linear-quadratic regulator with integral action applied to pwm dc-dc converters. IEEE Industrial Electronics, IECON 2006 - 2006. p. 2280-5.
Dores Costa JM. Design of linear quadratic regulators for quasi-resonant DC-DC converters. Power Electronics Specialists Conference, 2001 PESC 2001
IEEE 32nd Annual2001. p. 422-6 vol. 1.
Beccuti AG, Papafotiou G, Morari M. Optimal control of the buck dc-dc converter operating in both the continuous and discontinuous conduction regimes. 45th IEEE Conference on decision and control, 2006. p. 6205
Beccuti AG, Papafotiou G, Morari M. Optimal control of the boost dc-dc converter. European Control Conference CDC-ECC '05 and 44th IEEE Conference on Decision and Control,2005. p. 4457-62.
Gezgin C, Heck BS, Bass RM. Control structure optimization of a boost converter: an LQR approach. Power Electronics Specialists Conference, 1997 PESC
'97 Record, 28th Annual IEEE1997. p. 901-7 vol.2.
Nejati R, Eshtehardiha S, Poudeh MB. Improvement of step-down converter performance with optimum LQR and PID controller with applied genetic algorithm. AIP Conference Proceedings. 2008; 1052:129-34.
Mahdavian M, Poudeh MB, Eshtehardiha S. DC-DC converter with closed loop control through several optimizing methods. nternational Conference on Optimization of Electrical and Electronic Equipment, OPTIM, 2008. p. 233-8.
Hasaneen BM, Elbaset Mohammed AA. Design and simulation of DC/DC boost converter. 12th International Middle-East Power System Conference, MEPCON , p. 335-40. B J. Improved models for DC-DC converters. Sweden: Lund University; 2003.
Al-Mothafar MRD, Hammad KA. Small-signal modelling of peak current-mode controlled buck-derived circuits. IEE Proceedings - Electric Power Applications. ; 146:607-19. Mitchell DM. Dc-Dc Switching Regulator Analysis: Mcgraw-Hill (Tx) 1998. Al-Mothafar MRD. Small- and large-signal modelling of a modular boost-derived DC-DC converter for high-output voltage applications. Int J Model Simul. ; 26:52-60.