TY - GEN
T1 - A novel large-signal stability analysis approach based on semi-tensor product of matrices with Lyapunov stability theorem for DC-DC converters
AU - Li, Hong
AU - Ren, Fang
AU - Shang, Jianing
AU - Zhang, Bo
AU - Lu, Jinhu
AU - Qi, Hongsheng
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016
Y1 - 2016
N2 - Due to the nonlinearity of DC-DC converters, small-signal methods do not guarantee the stability of DC-DC converters under any large-signal disturbances. In this paper, semi-tensor product of matrices with Lyapunov stability theorem is firstly adopted for analyzing the large-signal stability of DC-DC converters. A buck converter with proportional-integral (PI) controller is used as an example. Based on the Lyapunov stability theorem and the state equation of the buck converter, a positive-definite Lyapunov function including a nonlinear integral of type Lurie is adopted in this paper. Moreover, the large-signal stability criteria of the buck converter, namely, the condition for ensuring the negative definiteness of the derivative of the Lyapunov function is obtained based on semi-tensor product of matrices. Finally, simulation and experimental results are given to verify the correctness of the large-signal stability analysis approach based on semi-tensor product of matrices with Lyapunov stability theorem.
AB - Due to the nonlinearity of DC-DC converters, small-signal methods do not guarantee the stability of DC-DC converters under any large-signal disturbances. In this paper, semi-tensor product of matrices with Lyapunov stability theorem is firstly adopted for analyzing the large-signal stability of DC-DC converters. A buck converter with proportional-integral (PI) controller is used as an example. Based on the Lyapunov stability theorem and the state equation of the buck converter, a positive-definite Lyapunov function including a nonlinear integral of type Lurie is adopted in this paper. Moreover, the large-signal stability criteria of the buck converter, namely, the condition for ensuring the negative definiteness of the derivative of the Lyapunov function is obtained based on semi-tensor product of matrices. Finally, simulation and experimental results are given to verify the correctness of the large-signal stability analysis approach based on semi-tensor product of matrices with Lyapunov stability theorem.
KW - DC-DC converters
KW - Lyapunov stability theorem
KW - large-signal stability
KW - semi-tensor product of matrices
UR - https://www.scopus.com/pages/publications/85015435910
U2 - 10.1109/ECCE.2016.7854736
DO - 10.1109/ECCE.2016.7854736
M3 - 会议稿件
AN - SCOPUS:85015435910
T3 - ECCE 2016 - IEEE Energy Conversion Congress and Exposition, Proceedings
BT - ECCE 2016 - IEEE Energy Conversion Congress and Exposition, Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 IEEE Energy Conversion Congress and Exposition, ECCE 2016
Y2 - 18 September 2016 through 22 September 2016
ER -