Abstract:Peak I2C control for lighting emitting diode (LED) driver to output constant current is investigated. In order to analyze the stability of peak I2C control, taking buck-based LED driver as an example, its control equation was established by Fourier series. The stable boundary equation was derived as well, which was simplified by the first-order Taylor series. With the increasing of the weight factor of output current in inner loop, the proportional term of compensator in outer loop increases, and the equivalent series resistance of LED varies. Their effects on the stability of LED driver were analyzed with the simplified boundary equation. It is found out that, when the equivalent series resistance of LED decreases, or the weight factor of output current and the proportional term of compensator increase, the stable region of the LED driver will be narrowed; slope compensation can extend the stable region by lessening the unstable phenomenon. Finally, the stability analysis is verified by computer simulation and hardware experiment.
[1] Marty C, Driscoll T D.The lighting revolution: if we were experts before, we novices now[J]. IEEE Transactions on Industry Applications, 2014, 50(2): 1509-1521. [2] Bhim S, Ashish S.Buck converter-based power supply design for low power light emitting diode lamp lighting[J]. IET Power Electronics, 2014, 7(4): 946-956. [3] 汪飞, 钟元旭, 阮毅. AC-DC LED驱动电源消除电解电容技术综述[J]. 电工技术学报, 2015, 30(8): 176-185. Wang Fei, Zhong Yuanxu, Ruan Yi.A review of eliminating electrolytic capacitor in AC-DC light- emitting diode drivers[J]. Transactions of China Electrotechnical Society, 2015, 30(8): 176-185. [4] 汪飞, 钟元旭, 李林, 等. 基于集成三端口变换器的无电解电容LED驱动[J]. 电工技术学报, 2016, 31(23): 189-198. Wang Fei, Zhong Yuanxu, Li Lin, et al.An electrolytic capacitor-less LED driver based on an integrated three-port converter[J]. Transactions of China Electrotechnical Society, 2016, 31(23): 189-198. [5] 闫铁生, 许建平, 曹太强, 等. 基于二次型Buck PFC变换器的无频闪无变压器LED驱动电源[J]. 电工技术学报, 2015, 30(12): 512-519. Yan Tiesheng, Xu Jianping, Cao Taiqiang, et al.A flicker-free transformerless LED driving circuit based on quadratic Buck PFC converter[J]. Transa- ctions of China Electrotechnical Society, 2015, 30(12): 512-519. [6] 方晶璐, 牛萍娟, 田慧娟. 电流对LED特性参数的影响[J]. 电工技术学报, 2013, 28(增刊2): 234-238. Fang Jinglu, Niu Pingjuan, Tian Huijuan.The influence on characteristics parameters for white- LED with current[J]. Transactions of China Electro- technical Society, 2013, 28(S2): 234-238. [7] 周国华, 许建平. 开关变换器调制与控制技术综述[J]. 中国电机工程学报, 2014, 34(6): 815-831. Zhou Guohua, Xu Jianping.A review of modulation and control techniques for switching converters[J]. Proceedings of the CSEE, 2014, 34(6): 815-831. [8] Leng M R, Zhou G H, Zhang K T, et al. Dynamics and stabilization of peak current-mode controlled Buck converter with constant current load[J]. Chinese Physics B, 2015, 24(10): 100504(1-9). [9] 王凤岩, 许建平. V2C控制Buck 变换器分析[J]. 中国电机工程学报, 2006, 26(2): 121-126. Wang Fengyan, Xu Jianping.Modeling and analysis of V2C controlled Buck converter[J]. Proceedings of the CSEE, 2006, 26(2): 121-126. [10] 周国华, 许建平, 米长宝, 等. V2C控制Buck变换器稳定性分析[J]. 电工技术学报, 2011, 26(3): 88-95. Zhou Guohua, Xu Jianping, Mi Changbao, et al.Stability analysis of V2C controlled Buck converter[J]. Transactions of China Electrotechnical Society, 2011, 26(3): 88-95. [11] Zhou G H, Bao B C, Xu J P. Complex dynamics and fast-slow scale instability in current-mode controlled Buck converter with constant current load[J]. International Journal of Bifurcation and Chaos, 2013, 23(4): 1350062(1-15). [12] 包伯成, 许建平, 刘中. 斜坡补偿Buck变换器工作状态域估计[J]. 电子学报, 2009, 37(12): 2788-2791. Bao Bocheng, Xu Jianping, Liu Zhong.Estimation of operating state regions for Buck converter with ramp compensation[J]. Acta Electronica Sinica, 2009, 37(12): 2788-2791. [13] 王金平, 许建平, 徐杨军. 恒定导通时间控制Buck 变换器多开关周期振荡现象分析[J]. 物理学报, 2011, 60(5): 058401(1-7). Wang Jinping, Xu Jianping, Xu Yangjun. Analysis of multi-switching period oscillation phenomenon in constant on-time controlled Buck converter[J]. Acta Physica Sinica, 2011, 60(5): 058401(1-7). [14] Chen Y F, Tse C K, Qiu S S, et al.Coexisting fast-scale and slow-scale instability in current-mode controlled DC-DC converter: analysis, simulation and experimental results[J]. IEEE Transactions on Circuits and Systems-I: Regular Papers, 2008, 55(10): 3335-3348. [15] Fang C C.Sampled-data poles, zeros, and modeling for current mode control[J]. International Journal of Circuit Theory and Applications, 2013, 41(2): 111-127. [16] 卢伟国, 栗安鑫, 周雒维, 等. 零扰动补偿控制电流模式Buck变换器[J]. 电工技术学报, 2014, 29(8): 90-96. Lu Weiguo, Li Anxin, Zhou Luowei, et al.Zero- perturbation compensation control of current-mode Buck converter[J]. Transactions of China Electro- technical Society, 2014, 29(8): 90-96. [17] Fang C C.Critical conditions for a class of switched linear systems based on harmonic balance: appli- cations to DC-DC converters[J]. Nonlinear Dynamics, 2012, 70(3): 1767-1789. [18] 卢伟国, 赵乃宽, 郎爽, 等. Lyapunov模式控制Buck变换器[J]. 电工技术学报, 2014, 29(10): 98-105. Lu Weiguo, Zhao Naikuan, Lang Shuang, et al.Lyapunov mode controlled Buck converter[J]. Transactions of China Electrotechnical Society, 2014, 29(10): 98-105. [19] Marcos J A, Juan V, David G V, et al.Analysis and design of the integrated double Buck-Boost converter as a high-power-factor driver for power-LED lamps[J]. IEEE Transactions on Industrial Electronics, 2012, 59(4): 1689-1697. [20] Douglas C, Guilherme F F, Alexandre C, et al.Offline LED driver for street lighting with an optimized cascade structure[J]. IEEE Transactions on Industrial Applications, 2013, 49(6): 2437-2443. [21] 张占松, 蔡宣三. 开关电源的原理与设计(修订版) [M]. 北京: 电子工业出版社, 2004.