A Lyapunov-Function-Based Control for Three-Level Shunt Active Power Filter Using Feedback Linearization

2018 ◽  
Author(s):  
Xun Zhu ◽  
Yong Wang ◽  
Juan Hu
Keyword(s):  
Lyapunov Function ◽  
Feedback Linearization ◽  
Active Power Filter ◽  
Active Power ◽  
Shunt Active Power Filter ◽  
Power Filter

Three‐phase four‐wire shunt active power filter based on the SOGI filter and Lyapunov function for DC bus control

2020 ◽  
Vol 48 (6) ◽  
pp. 887-905 ◽  
Author(s):  
Mostafa Dellahi ◽  
Hattab Maker ◽  
Guillermo Botella ◽  
Enrique Alameda‐Hernandez ◽  
Azeddine Mouhsen
Keyword(s):  
Lyapunov Function ◽  
Active Power Filter ◽  
Active Power ◽  
Shunt Active Power Filter ◽  
Power Filter ◽  
Three Phase ◽  
Dc Bus

Nonlinear Lyapunov-Based Stable Control Method of the Single-Phase Shunt Active Power Filter

2011 ◽  
Vol 354-355 ◽  
pp. 1390-1393 ◽  
Author(s):  
Lan Fang Li ◽  
Hong Geng Yang ◽  
Wei Ming Guo ◽  
Ya Mei Liu ◽  
Fang Wei Xu ◽  
...  
Keyword(s):  
Lyapunov Function ◽  
Single Phase ◽  
Control Method ◽  
Active Power Filter ◽  
Active Power ◽  
Shunt Active Power Filter ◽  
Correct Operation ◽  
Power Filter ◽  
Control Output ◽  
Stable Control

This paper proposes a nonlinear Lyapunov-based control method of the single-phase shunt active power filter (APF). The system is modeled firstly and then the compensated current of the APF is calculated. The energetic like Lyapunov function is constructed and the control output is determined through ensuring the differential of the Lyapunov function negative, which grantee the convergence of the APF system. Considering that the time-varying load may cause greater fluctuations in DC voltage, an average value is used to calculate the control output. A globally stable control is possible and it is insensitive to the parameter uncertainties and robustness to the disturbances. Simulation results are obtained using Matlab/ Simulink. These results verify the correct operation of the proposed control method.

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