CAJ | 학술논문

为了弥补以往对DC—DC变换器非线性特性的研究主要是在开环或比例积分( PI )控制下进行的不足，在分段光滑系统状态空间模型的基础上，根据凯莱—哈密尔顿定理，建立了比例-微分( PD)控制电压反馈型Boost变换器闭环控制系统的精确离散映射，推导了系统的稳定性条件，讨论了PD控制器参数对变换器系统稳定性和分岔的影响，定性分析了系统的倍周期分岔和混沌现象产生的机理，指出控制器的比例增益对系统的稳定性起主导作用。最后，搭建了变换器实验电路，结果表明了理论分析和仿真的正确性。研究结果为深刻认识该类变换器的非线性特性提供借鉴意义。
위료미보이왕대DC—DC변환기비선성특성적연구주요시재개배혹비례적분( PI )공제하진행적불족，재분단광활계통상태공간모형적기출상，근거개래—합밀이돈정리，건립료비례-미분( PD)공제전압반궤형Boost변환기폐배공제계통적정학리산영사，추도료계통적은정성조건，토론료PD공제기삼수대변환기계통은정성화분차적영향，정성분석료계통적배주기분차화혼돈현상산생적궤리，지출공제기적비례증익대계통적은정성기주도작용。최후，탑건료변환기실험전로，결과표명료이론분석화방진적정학성。연구결과위심각인식해류변환기적비선성특성제공차감의의。
The previous studies on nonlinear behavior of DC/DC converters mainly focused on the open-loop and proportional-integral ( PI) control systems. To make up the deficiencies, the precise discrete mapping of a voltage-mode closed-loop controlled Boost converter system is derived from its piecewise smooth state space model depending on Cayley-Hamilton theorem. The stability condition of the system is analyzed. The parameters of PD controller influence on stability and bifurcation, as well as the mechanism that produced chaos from period-doubling bifurcation are discussed. The re-sults found that the proportional gain is a dominant parameter affecting the stability of the system. Finally, the analysis results are verified through simulation and experiment. The results provide a reference for a profound understanding of the nonlinear characteristics of such kind of converters.