Abstract:A Lyapunov-mode nonlinear control strategy is discussed in this paper, with the aim of obtaining a good stability convergence of switching power converter system. A trinomial energy-like function with the capacitor voltage error, the inductire current error and its integral error is constructed for the PWM-mode control equation of Buck converter. Then an equivalent control circuit is obtained by using the integral reset control circuit and a simplified voltage loop. Determination of the control parameters and analysis of the control performance are presented based on the system linear model. The simulation and experimental results finally confirm the validity of the proposed control.
[1] 王奎, 郑泽东, 李永东, 等. 一种新型的无变压器级联型多电平变换器拓扑[J]. 电工技术学报, 2011, 26 (8): 1-6. Wang Kui, Zheng Zedong, Li Yongdong, et al. A novel transformerless cascaded multilevel converter topology [J]. Transactions of China Electrotechnical Society, 2011, 26(8): 1-6. [2] 张学广, 刘义成, 王瑞, 等. 一种新型的PWM 变换器LCL滤波器有源阻尼控制策略[J]. 电工技术学报2011, 26(10): 188-192. Zhang Xueguang, Liu Yicheng, Wang Rui, et al. A novel active damping control strategy for PWM converter with LCL filter[J]. Transactions of China Electrotechnical Society, 2011, 26 (10): 188-192. [3] 罗全明, 周雒维, 卢伟国, 等. V2-OCC控制Buck变换器[J]. 电工技术学报. 2008, 23(12): 78-84. Luo Quanming, Zhou Luowei, Lu Weiguo, et al. V2-OCC controlled buck converter[J]. Transactions of China Electrotechnical Society, 2008, 23(12): 78-84. [4] Erickson R W, Maksimovic D. Fundamentals of power electronics[M]. 2nd ed. Kluwer Academic Publishers Group, 2001. [5] 蔡宣三, 龚绍文. 高频功率电子学[M]. 北京: 科学出版社, 1993. [6] Smedley K M, Cuk S. One-cycle control of switching of converters[J]. IEEE Transaction on Power Electronics, 1995, 10(6): 625-633. [7] Lai Z, Smedley K M. A general constant-frequency pulsewidth modulator and its applications[J]. IEEE Transaction on Circuits and Systems-I: Fundamental Theory and Applications, 1998, 45(4): 286-396. [8] 倪雨, 许建平, 于海坤, 等. 控制受限滑模控制Buck变换器设计[J]. 中国电机工程学报, 2010, 30(18): 26-32. Ni Yu, Xu Jianping, Yu Haikun, et al. Design of sliding mode control buck converter with bounded input[J]. Proceedings of the CSEE, 2010, 30(18): 26-32. [9] Tan S C, Lai Y M, Tse C K. Indirect sliding mode control of power converters via double integral sliding surface[J]. IEEE Transactions on Power Electronics, 2008, 23(2): 600-611. [10] Tan S C, Lai Y M, Tse C K. et al. A fast-response sliding-mode controller for boost-type converters with a wide range of operating conditions[J]. IEEE Transac- tions on Power Electronics, 2007, 54(6): 3276-3286. [11] 沈艳霞, 陈进军, 纪志成. Buck 变换器非线性控制器设计[J]. 电力自动化设备, 2008, 28(12): 56-59. Shen Yanxia, Chen Jinjun, Ji Zhicheng. Design of nonlinear controller for buck converter [J]. Electric Power Automation Equipment, 2008, 28(12): 56-59. [12] Flores J L, Reger J, Ramírez H S. Load torque estimation and passivity based control of a boost- converter /DC-motor combination[J]. IEEE Transactions on Control Systems Technology, 2010, 18(6): 1398- 1405. [13] Berkovich Y, Ioinovici A. Analysis and design of PWM regulators for large-signal stability[C]. IEEE International Symposium on Circuits and Systems 2002, 2002, 3: 409-412. [14] Komurcugil H, Kukrer O. A new control strategy for single-phase shunt active power filers using a Lyapunov function[J]. IEEE Transactions on Industrial Electronics, 2006, 3(1): 305-312. [15] Komurcugil H, Kukrer O. Lyapunov-Based control for three-phase PWM AC/DC voltage-source converters [J]. IEEE Transactions of Power Electronics, 1998, 13(5): 801-813. [16] 张涌萍, 张波, 丘东元. DC-DC变换器双线性系统建模及基于李亚普诺夫直接法的控制方法[J]. 中国电机工程学报, 2008, 28(9): 7-11. Zhang Yongping, Zhang Bo, Qiu Dongyuan. Bilinear system model and Lyapunov-Based control method for DC-DC converters[J]. Proceedings of the CSEE, 2008, 28(9): 7-11. [17] Hua C C, Li C H. Lee C S. Control analysis of an active power filter using Lyapunov candidate[J]. IET Power Electronics, 2009, 2(4): 325-334.