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Stability Analysis of External Ramp Compensation on Valley V² Controlled Boost Converter
Haoyang Gan,Shengzhong He,Xiaoqiong He,Songrong Wu,Ping Yang,Minrui Leng 전력전자학회 2019 ICPE(ISPE)논문집 Vol.2019 No.5
V² control has fast transient response so it has been widely used voltage regulator modules. Although valley V² control has been proposed to control boost converter, there still exist instability issues. To stabilize instability caused by small duty or equivalent series resistance of output capacitor, external ramp compensation has been used. However, there is no reference for choosing proper ramp slope. In this paper, a discrete iterative model of valley V² controlled boost converter with external ramp compensation is established. Based on the model, bifurcation behaviors under different duty cycle and ESR are observed as equivalent ramp slope increases. The orbit of converter transfers from chaos to multi-period then to period-1, consistent with maximal Lyapunov exponent. By analyzing loci of eigenvalues, stability boundaries in different operation regions are obtained to guide equivalent ramp slope design. Experimental prototype is also built up to verify the theoretical analysis.