Fast-Scale Stability Analysis of a DC-DC Boost Converter With a Constant Power Load

被引:35
作者
El Aroudi, Abdelali [1 ]
Haroun, Reham [1 ]
Al-Numay, Mohammed S. [2 ]
Calvente, Javier [1 ]
Giral, Roberto [1 ]
机构
[1] Univ Rovira & Virgil, Dept Engn Elect Elect & Automat, Tarragona 43003, Spain
[2] King Saud Univ, Dept Elect Engn, Riyadh 11451, Saudi Arabia
关键词
Load modeling; Stability analysis; Mathematical model; Switches; Integrated circuit modeling; Bifurcation; Analytical models; Constant power load (CPL); conversion; fast-scale stability; nonlinear load; stability analysis; sunharmonic oscillation; switching converters;
D O I
10.1109/JESTPE.2019.2960564
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This article focuses on analyzing the fast-scale stability in a peak current-mode-controlled boost converter with a constant power load (CPL). Since with this kind of nonlinear loads the analytical expression of the discrete-time model is not available and the existing averaged models are inadequate in describing accurately the fast-scale dynamics of these converters, a piecewise linear switched model is established by approximating the CPL by a composite linear load. The model is first demonstrated to predict accurately the same bifurcation points predicted by the switched model using the nonlinear load. The bifurcation analysis using the Floquet theory and the resulting monodromy matrix and its eigenvalues loci clearly show the effect of system parameters on its stability. The fast-scale stability boundaries in terms of suitable parameters are obtained by using eigenvalues analysis. The effect of the proportional gain of the voltage controller is studied. Finally, experimental results are further given to verify the theoretical analysis and simulation results obtaining a good agreement.
引用
收藏
页码:549 / 558
页数:10
相关论文
共 36 条
[1]   Bifurcations in two-dimensional piecewise smooth maps - Theory and applications in switching circuits [J].
Banerjee, S ;
Ranjan, P ;
Grebogi, C .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2000, 47 (05) :633-643
[2]  
BANERJEE S, 2001, NONLINEAR PHENOMENA
[3]  
BELKHAYAT M, 1995, IEEE POWER ELECTRON, P1333, DOI 10.1109/PESC.1995.474987
[4]   Study of bifurcations in current-programmed DC/DC boost converters: From quasi-periodicity to period-doubling [J].
Chan, WCY ;
Tse, CK .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1997, 44 (12) :1129-1142
[5]   Predicting Subharmonic Oscillation of Voltage-Mode Switching Converters Using a Circuit-Oriented Geometrical Approach [J].
Cheng, Lin ;
Ki, Wing-Hung ;
Yang, Fan ;
Mok, Philip K. T. ;
Jing, Xiaocheng .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2017, 64 (03) :717-730
[6]   Dynamics and control of dc-to-dc converters driving other converters downstream [J].
Choi, BC ;
Cho, BH ;
Hong, SS .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (10) :1240-1248
[7]   Line-Frequency Instability of PFC Power Supplies [J].
Chu, Grace ;
Tse, Chi K. ;
Wong, Siu Chung .
IEEE TRANSACTIONS ON POWER ELECTRONICS, 2009, 24 (1-2) :469-482
[8]   Accurate Analysis of Subharmonic Oscillations of V2 and V2Ic Controls Applied to Buck Converter [J].
Cortes, Jorge ;
Svikovic, Vladimir ;
Alou, Pedro ;
Oliver, Jesus A. ;
Cobos, Jose A. ;
Wisniewski, Rafael .
IEEE TRANSACTIONS ON POWER ELECTRONICS, 2015, 30 (02) :1005-1018
[9]   Prediction of subharmonic oscillation in switching regulators: from a slope to a ripple standpoint [J].
El Aroudi, A. ;
Al-Numay, M. ;
Calvente, J. ;
Giral, R. ;
Rodriguez, E. ;
Alarcon, E. .
INTERNATIONAL JOURNAL OF ELECTRONICS, 2016, 103 (12) :2090-2109
[10]   Quasi-periodic route to chaos in a PWM voltage-controlled DC-DC boost converter [J].
El Aroudi, A ;
Leyva, R .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (08) :967-978