非理想Buck变换器分数阶建模及参数辨识研究
Parameter Identification of Buck Converter Based on the Non-Ideal Fractional Model
摘要: 基于实际电容和电感本质上是分数阶的事实,针对以往开关变换器建模过程中一些理想化假设会引起较大误差的问题,建立了电感电流连续模式下Buck变换器的非理想状态分数阶模型及状态平均模型,提出了一种用于分数阶模型阶次辨识的改进随机数辨识方法,通过仿真验证了运行非理想状态下Buck变换器的分数阶仿真模型的合理性和可行性,并对Buck变换器分数阶阶次进行辨识,与一般传统的算法对比,结果表明改进的方法具有更高的准确性。
Abstract: Based on the fact that the capacitor and the inductor are fractional in nature, and some ideal as-sumptions could bring errors during the modeling of the switching converters, the fractional mathematical and the fractional state averaged model of the not ideal buck converter in continu-ous mode operation are built and analyzed, a parameter identification method that can be applied in fractional model is proposed. Finally, to verify the theoretical analysis the simulation model of the buck converter in continuous conduction mode operation is established by using the software of Matlab/Simulink, the validated of the new identified method is validated by compared with traditional methods.
文章引用:陈赓, 蒲涛, 苏杨. 非理想Buck变换器分数阶建模及参数辨识研究[J]. 电路与系统, 2017, 6(4): 103-110. https://doi.org/10.12677/OJCS.2017.64013

参考文献

[1] 张卫平. 开关变换器的建模与控制[M]. 北京: 电力出版社, 2006.
[2] 徐德鸿. 电力电子系统建模及控制[M]. 北京: 机械工业出版社, 2005: 6-7.
[3] 张占松, 蔡宣三. 开关电源原理与设计[M]. 北京: 电子工业出版社, 2001.
[4] 王发强, 马西奎. 电感电流连续模式下Boost变换器的分数阶建模与仿真分析[J]. 物理学报, 2011, 60(7): 070506.
[5] 王发强, 马西奎. 基于分数阶微积分的电感电流断续模式下Boost变换器的建模与仿真[J]. 中国科学, 2013, 43(4): 368-374.
[6] Machado, S.A.T. and Galhano, A.M.S.F. (2012) Fractional Order Inductive Phenomena Based on the Skin Effect. Nonlinear Dynamics, 68, 107-115.
[7] 葛茂艳, 谢利理, 吴喜华. 非理想Buck变换器的建模及仿真[J]. 计算机仿真, 2010, 27(4): 333-336.
[8] 欧煌, 吴伟. 基于状态空间法的非理想Buck电路建模分析[J]. 电气技术, 2011(9): 14-16.
[9] Li, W., Peng, C. and Wang, Y. (2011) Frequency Domain Subspace Identification of Fractional Order Time-Delay System. Information and Control, 40, 180-186.
[10] Oustaloup, A., Levron, F., Mathieu, B. and Nanot, F.M. (2000) Frequency-Band Complex Noninteger Differentiator: Characterization and Synthesis. IEEE Transactions on Circuits & Systems I Fundamental Theory & Applications, 47, 25-39.
[11] Radwan, A.G., Solima, A.M. Elwakil, A.S. and Sedeek, A. (2009) On the Stability of Linear Systems with Fractional-Order Elements. Chaos Solitons & Fractals, 40, 2317-2328.
[12] Monje, C.A., Vinagre, B.M., Feliu, V. and Chen, Y.Q. (2008) Tuning and Auto-Tuning of Fractional Order Controllers for Industry Applications. Control Engineering Practice, 16, 798-812.