物理学报Issue(7)：070502-1-070502-10,10.DOI:10.7498/aps.63.070502
电感电流伪连续模式下Boost变换器的分数阶建模与分析
Mo deling and simulation analysis of fractional-order Bo ost converter in pseudo-continuous conduction mo de
摘要
Abstract
Based on the fact that the inductor and the capacitor are fractional in nature, the fractional order mathematical model of the Boost converter in pseudo-continuous conduction mode is established by using fractional order calculus theory. According to the state average modeling method, the fractional order state average model of Boost converter in pseudo-continuous conduction mode is built. In view of the mathematical model, the inductor current and the output voltage are analyzed and the transfer functions are derived. Then the differences between the integer order and the fractional order mathematical models are analyzed. On the basis of the improved Oustaloup fractional order calculus for filter approximation algorithm and the model of fractional order inductance and capacitance, the simulation results have been compared between the mathematical model and circuit model with Matlab/Simulink software; the origins of model error are analyzed and the correctness of the modeling in fractional order and the theoretical analysis is verified. Finally, the differences and the relations of Boost converter among the continuous conduction mode, the discontinuous conduction mode, and the pseudo-continuous conduction mode are indicated.关键词
分数阶/Boost变换器/伪连续模式(三态模式)/数值仿真Key words
fractional order/Boost converter/pseudo continuous conduction mode(tri-state mode)/numerical simulation引用本文复制引用
谭程,梁志珊..电感电流伪连续模式下Boost变换器的分数阶建模与分析[J].物理学报,2014,(7):070502-1-070502-10,10.基金项目
国家自然科学基金(批准号:51071176)和中国石油大学(北京)前瞻导向基金(批准号:2010QZ03)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.51071176), and the China University of Petroleum(Beijing) Frontier Foundation (Grant No.2010QZ03) （批准号:51071176）
