Advanced Control Strategies for Power Inverters to Improve Large-signal Stability
Published on 22. June 2022
Book
Hardback
978-981-19-1102-6 (ISBN)
Description
This book introduces a family of large-signal stability-based control methods for different power inverters (grid-connected inverters, standalone inverters, single-phase inverters, three-phase inverters) in practical applications. It helps the interested readers to design power inverters with full consideration of the large-signal stability problem. It serves as a guide for researchers, power inverter manufacturers, and end-users.
More details
Series
Edition
1st ed. 2022
Language
English
Place of publication
Singapore
Singapore
Target group
Professional and scholarly
Illustrations
25 farbige Abbildungen
25 Illustrations, color; Approx. 100 p. 25 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
ISBN-13
978-981-19-1102-6 (9789811911026)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
Prof. Xin Zhang received the Ph.D. degree in Automatic Control and Systems Engineering from the University of Sheffield, UK, in 2016 and the Ph.D. degree in Electronic and Electrical Engineering from Nanjing University of Aeronautics & Astronautics, China, in 2014. From 2017-2020, he was an Assistant Professor at the School of Electrical and Electronic Engineering of Nanyang Technological University. Currently, he is a professor at the college of Electrical Eneginering of Zhejiang University. He services as Editor/Associated Editor of 8 top international journals, i.e., IEEE Transactions on Industrial Electronics, IEEE Journal of Emerging and Selected Topics in Power Electronics, IET Power Electronics, IEEE open journal of power electronics, IEEE Access, Journal of Artificial Intelligent, etc. Prof. Xin Zhang is the IEEE Senior Member and he is generally interested in green building, power electronics and advanced control theory, together with their applications in various sectors.
Dr. Jinsong He received his bachelor's degree in power engineering from Wuhan University, China, in 2018 and is currently working towards his Ph.D. degree in Electrical and Electronic Engineering at Nanyang Technological University, Singapore. His research interests are in the area of advanced control of power inverters and large-signal stability of power inverters.
Prof. Zhixun Ma received his Ph.D. degree in electrical engineering from Technical University of Munich, Germany, in 2014. Currently, he is Associate Professor at the National Maglev Transportation Engineering R&D Center, Tongji University, Shanghai, China. He was also Research Fellow at Nanyang Technological University, Singapore. His main research areas include predictive control and sensorless control of electrical drives, renewable energy systems, and FPGA-based digital control of power electronics and drive systems.
Dr. Jinsong He received his bachelor's degree in power engineering from Wuhan University, China, in 2018 and is currently working towards his Ph.D. degree in Electrical and Electronic Engineering at Nanyang Technological University, Singapore. His research interests are in the area of advanced control of power inverters and large-signal stability of power inverters.
Prof. Zhixun Ma received his Ph.D. degree in electrical engineering from Technical University of Munich, Germany, in 2014. Currently, he is Associate Professor at the National Maglev Transportation Engineering R&D Center, Tongji University, Shanghai, China. He was also Research Fellow at Nanyang Technological University, Singapore. His main research areas include predictive control and sensorless control of electrical drives, renewable energy systems, and FPGA-based digital control of power electronics and drive systems.
Content
1. Introduction1.1 Overiew of power electronic systems
1.1.1 Power converters in power electronics systems: converter, rectifier and inverter
1.1.2 Application of power electronic systems: wind/solar/smart grid
1.2 Basic knowledges of power inverters
1.2.1 Topologies of power inverters
1.2.2 Applications of power inverters
1.2.3 Control principles of power inverters
1.3 large-signal stabiltiy problem of power inverters
1.3.1 Large-signal instabilty phonomenion in power inverters
1.3.2 Review the theory of large-signal stabilty
1.4 Existing large-signal stability based control methods for the power inverteres
1.4.1 Lyapunov-based control methods for the power inverters
1.4.2 Backstepping-based control methods for the power inverters
1.4.3 Passivity control-based control methods for the power inverters
1.4.4 Limitations of the exisitng control methods for the power inverters
1.5 Conclusion
2 The poposed Lyapunov-function-based control methods for single-phase grid connected inverter
2.1 Nomenclature
2.2 Introduction
2.3 Mathematical model of grid-connected inverter
2.4 The proposed Lyapunov-based control methods for the single-phase grid connected inverter
2.4.1 Preliminary: conventional Lyapunov-based control method
2.4.2 The proposed Lyapunov-based control method with grid-current feedback
2.4.3 The proposed Lyapunov-based control method with capacitor-voltage feedback
2.5 Design considerations of the proposed Lyapunov-based control methods for the single-phase grid connected inverter
2.5.1 Design considerations of the proposed Lyapunov-based control method with grid-current feedback
2.5.2 Design considerations of the proposed Lyapunov-based control method with capacitor-voltage feedback
2.6 Experimental results
2.6.1 Verifications of the proposed Lyapunov-based control method with grid-current feedback
2.6.2 Verifications of the proposed Lyapunov-based control method with capacitor-voltage feedback
2.6.3 Comparsions of the proposed two Lyapunov-based control methods for the single-phase grid connected inverter
2.7 Conclusion
3 The poposed Lyapunov-function-based control methods for three-phase grid connected inverter
3.1 Nomenclature
3.2 Introduction
3.3 DQ-frame modeling of the three-phase grid connected inverter
3.4 The proposed Lyapunov-based control methods for the three-phase grid connected inverter
3.4.1 Preliminary: Basic Lyapunov-function construction for the three-phase grid connected inverter
3.4.2 The proposed Lyapunov-function based control method with single feedback loop
3.4.3 The propsoed enhanced Lyapunov-function based control with dual feedback loops
3.5 Design considerations of the proposed Lyapunov-based control methods for the three-phase grid connected inverter
3.5.1 Design considerations of the proposed Lyapunov-function based control method with single feedback loop
3.5.2 Design considerations of the propsoed enhanced Lyapunov-function based control with dual feedback loops
3.6 Experimental results
3.6.1 Verifications of the proposed Lyapunov-function based control method with single feedback loop
3.6.2 Verifications of the propsoed enhanced Lyapunov-function based control with dual feedback loops
3.6.3 Comparsions of the proposed two Lyapunov-based control methods for the three-phase grid connected inverter
3.7 Conclusion
4 The proposed adaptive dual-loop Lyapunov-based control method for the single-phase stand-alone inverter
4.1 Nomenclature
4.2 Introduction
4.3 Mathematical modelling of the single-phase stand-alone inverter
4.3.1 Average model of the single-phase stand-alone inverter
4.3.2 Load voltage reference of the single-phase stand-alone inverter
4.3.3 Current-loop reference of the single-phase stand-alone inverter
4.3.4 Model of the load current of the single-phase stand-alone inverter
4.4 The proposed adaptive dual-loop Lyapunov-based control method for the single-phase stand-alone inverter
4.4.1 The proposed Lyapunov function for the single-phase stand-alone inverter
4.4.2 Derivation of the adaptive dual-loop control law for the single-phase stand-alone inverter
4.4.3 Implementation of proposed control method for the single-phase stand-alone inverter
4.5 Stability analysis and robustness verification of the proposed control method for the single-phase stand-alone inverter
4.5.1 Stability analysis
4.5.2 Robustness against plant parametric variations
4.6 Experimental results
4.6.1 Verificaitons of the steady-state and dynamic performance
4.6.2 Verificaitons of the overload & recovery scenarios
4.7 Conclusion
5 The proposed robust dual-loop decoupled Lyapunov-based control method for the three-phase stand-alone inverter with load disturbance adaptivity
5.1 Nomenclature
5.2 Introduction
5.3 Mathematical modelling of the three-phase stand-alone inverter
5.3.1 Average model of the three-phase stand-alone inverter
5.3.2 Load voltage references and inductor current references of the three-phase stand-alone inverter
5.3.3 Model of the load currents & adaptive terms of the three-phase stand-alone inverter
5.3.4 Modified inductor current references incorporated with adaptive terms of the three-phase stand-alone inverter
5.4 The proposed robust decoupled dual-loop Lyapunov-based control method for the three-phase stand-alone inverter with load disturbance adaptivity
5.4.1 The proposed weighted all-in-one Lyapunov function for the three-phase stand-alone inverter
5.4.2 Derivation of the duty cycles and adaptive laws for the three-phase stand-alone inverter
5.5 Implementation of the proposed control method for the three-phase stand-alone inverter
5.5.1 Implementation block diagram of the proposed control method for the three-phase stand-alone inverter
5.5.2 The decoupled error dynamics in d frame and q frame of the the three-phase stand-alone inverter with the proposed control method
5.5.3 Recommended way to set load voltage references in practice
5.6 Stability analysis and controller parameter selection guideline of the proposed control method for the three-phase stand-alone inverter
5.6.1 Closed-loop system stability proof
5.6.2 Controller gains selection guideline based on generalized root-locus technique
5.7 Experimental results
5.7.1 Experimental platform description
5.7.2 Verificaiton of the load disturbance adaptivity: THD% analysis of load voltage when supplying linear load & nonlinear load
5.7.3 Verificaiton of the robustness against plant parametric mismatch
5.7.4 Verificaiton of the dq decoupled control of the load voltages
5.7.5 Verfication of the overload & recovery scenarios
5.8 Conclusions
6 The proposed ellipse-optimized composite backstepping control strategy for the point-of-load (POL) inverter under load disturbance
6.1 Nomenclature
6.2 Introduction
6.3 Preliminary: mathematical modelling of the POL inverter
6.4.1 Dynamic models of the POL inverter
6.4.2 Control objectives of the POL inverter: load voltage references
6.4 Recursive derivation & implementation of the proposed composite backstepping controller for the POL inverter
6.4.1 Two-step backstepping derivation of the POL inverter in d frame
6.4.2 Two-step backstepping derivation of the POL inverter in q frame
6.4.3 Design of the Kalman filter to estimate & feedforward the load currents of the POL inverter for load disturbance rejection
6.4.4 Configuration and implementation of the proposed composite backstepping controller of the POL inverter
6.5 Stability analysis & ellipse-based parameter optimization strategy and bandwidth allocation for the POL inverter
6.5.1 Resulted decoupled closed-loop error dynamics & its dimension-reduced second-order system
6.5.2 Rigorously guaranteed closed-loop stability regulated by proposed composite backstepping controller
6.5.3 Proposed intuitive ellipse-based strategy to optimize the controller parameters with fully consideration of ? and ?n
6.5.4 Simplified quantitative bandwidth allocation of the Kalman filter aided by ellipse-optimized strategy
6.6 Experimental Results
6.6.1 Verificaiton of the robustness against plant parametric variations
6.6.2 Verificaiton of the performance evaluation under linear/nonlinear load step, reference step, overload & recovery
6.7 Conclusions
7 The proposed stability constraining dichotomy solution based model predictive control (SCDS-MPC) method for the grid connected inverters to improve the power electronic system stability
7.1 Introduction
7.2 Instability problem of power electronics systems including power inverters
7.3.1 Instability problem description
7.3.2 The instability reason of power electronic system
7.3 Preliminary of the proposed SCDS-MPC method: mathematical modeling of the power electronic system
7.3.1 Mathematical model of the grid connected inverter
7.3.2 Mathematical model of the power electronic system for stability analysis
7.4 The proposed SCDS-MPC method for the grid connected inverter to imporve the power electronic system stability
7.4.1 Traditional model predictive control method for grid connected inverter
7.4.2 Proposed dichotomy solution (DS) based model predictive control for the grid connected inverter to imporve its control performance
7.4.3 Proposed system stability constraining cost function definition of the SCDS-MPC method to guarantee the large-signal stability of the power electronic system
7.4.4 Sensitivity analysis of proposed SCDS-MPC method
7.5 Experimental results
7.5.1 Experimental prototype
7.5.2 Verficaiton of the inverter's control performance of the proposed SCDS-MPC method
7.5.3 Verficaiton of the system stability performance of the proposed SCDS-MPC method
7.6 Conclusion
8 The proposed dichotomy enhanced model predictive control for the stand-alone inverters to improve the power electronic system stability
8.1 Introduction
8.2 Preliminary of the proposed predictive control scheme: mathematical modeling of the stand-alone inverters
8.3 Traditional model predictive control method for the standalone inverters and its limitations
8.4 The proposed dichotomy enhanced model predictive control to indirectly regulate and stabilize the stand-alone inverters in power electronic system
8.4.1 Configuration of the proposed dichotomy enhanced model predictive control
8.4.2 the proposed dichotomy enhanced model predictive control with an external modulator
8.4.3 the dynamic inductor current reference of the proposed dichotomy enhanced model predictive control derived via Lyapunov theory
8.4.4 Improved dc-link voltage stabilization strategy for the standalone inverters with instantaneous power theory
8.4.5 Implementation of proposed dichotomy enhanced model predictive control
8.5 Simulation and experimental results
8.5.1 Simulation results of the proposed dichotomy enhanced model predictive control
8.5.2 Experimental results of the proposed dichotomy enhanced model predictive control
8.6 Conclusion
1.1.1 Power converters in power electronics systems: converter, rectifier and inverter
1.1.2 Application of power electronic systems: wind/solar/smart grid
1.2 Basic knowledges of power inverters
1.2.1 Topologies of power inverters
1.2.2 Applications of power inverters
1.2.3 Control principles of power inverters
1.3 large-signal stabiltiy problem of power inverters
1.3.1 Large-signal instabilty phonomenion in power inverters
1.3.2 Review the theory of large-signal stabilty
1.4 Existing large-signal stability based control methods for the power inverteres
1.4.1 Lyapunov-based control methods for the power inverters
1.4.2 Backstepping-based control methods for the power inverters
1.4.3 Passivity control-based control methods for the power inverters
1.4.4 Limitations of the exisitng control methods for the power inverters
1.5 Conclusion
2 The poposed Lyapunov-function-based control methods for single-phase grid connected inverter
2.1 Nomenclature
2.2 Introduction
2.3 Mathematical model of grid-connected inverter
2.4 The proposed Lyapunov-based control methods for the single-phase grid connected inverter
2.4.1 Preliminary: conventional Lyapunov-based control method
2.4.2 The proposed Lyapunov-based control method with grid-current feedback
2.4.3 The proposed Lyapunov-based control method with capacitor-voltage feedback
2.5 Design considerations of the proposed Lyapunov-based control methods for the single-phase grid connected inverter
2.5.1 Design considerations of the proposed Lyapunov-based control method with grid-current feedback
2.5.2 Design considerations of the proposed Lyapunov-based control method with capacitor-voltage feedback
2.6 Experimental results
2.6.1 Verifications of the proposed Lyapunov-based control method with grid-current feedback
2.6.2 Verifications of the proposed Lyapunov-based control method with capacitor-voltage feedback
2.6.3 Comparsions of the proposed two Lyapunov-based control methods for the single-phase grid connected inverter
2.7 Conclusion
3 The poposed Lyapunov-function-based control methods for three-phase grid connected inverter
3.1 Nomenclature
3.2 Introduction
3.3 DQ-frame modeling of the three-phase grid connected inverter
3.4 The proposed Lyapunov-based control methods for the three-phase grid connected inverter
3.4.1 Preliminary: Basic Lyapunov-function construction for the three-phase grid connected inverter
3.4.2 The proposed Lyapunov-function based control method with single feedback loop
3.4.3 The propsoed enhanced Lyapunov-function based control with dual feedback loops
3.5 Design considerations of the proposed Lyapunov-based control methods for the three-phase grid connected inverter
3.5.1 Design considerations of the proposed Lyapunov-function based control method with single feedback loop
3.5.2 Design considerations of the propsoed enhanced Lyapunov-function based control with dual feedback loops
3.6 Experimental results
3.6.1 Verifications of the proposed Lyapunov-function based control method with single feedback loop
3.6.2 Verifications of the propsoed enhanced Lyapunov-function based control with dual feedback loops
3.6.3 Comparsions of the proposed two Lyapunov-based control methods for the three-phase grid connected inverter
3.7 Conclusion
4 The proposed adaptive dual-loop Lyapunov-based control method for the single-phase stand-alone inverter
4.1 Nomenclature
4.2 Introduction
4.3 Mathematical modelling of the single-phase stand-alone inverter
4.3.1 Average model of the single-phase stand-alone inverter
4.3.2 Load voltage reference of the single-phase stand-alone inverter
4.3.3 Current-loop reference of the single-phase stand-alone inverter
4.3.4 Model of the load current of the single-phase stand-alone inverter
4.4 The proposed adaptive dual-loop Lyapunov-based control method for the single-phase stand-alone inverter
4.4.1 The proposed Lyapunov function for the single-phase stand-alone inverter
4.4.2 Derivation of the adaptive dual-loop control law for the single-phase stand-alone inverter
4.4.3 Implementation of proposed control method for the single-phase stand-alone inverter
4.5 Stability analysis and robustness verification of the proposed control method for the single-phase stand-alone inverter
4.5.1 Stability analysis
4.5.2 Robustness against plant parametric variations
4.6 Experimental results
4.6.1 Verificaitons of the steady-state and dynamic performance
4.6.2 Verificaitons of the overload & recovery scenarios
4.7 Conclusion
5 The proposed robust dual-loop decoupled Lyapunov-based control method for the three-phase stand-alone inverter with load disturbance adaptivity
5.1 Nomenclature
5.2 Introduction
5.3 Mathematical modelling of the three-phase stand-alone inverter
5.3.1 Average model of the three-phase stand-alone inverter
5.3.2 Load voltage references and inductor current references of the three-phase stand-alone inverter
5.3.3 Model of the load currents & adaptive terms of the three-phase stand-alone inverter
5.3.4 Modified inductor current references incorporated with adaptive terms of the three-phase stand-alone inverter
5.4 The proposed robust decoupled dual-loop Lyapunov-based control method for the three-phase stand-alone inverter with load disturbance adaptivity
5.4.1 The proposed weighted all-in-one Lyapunov function for the three-phase stand-alone inverter
5.4.2 Derivation of the duty cycles and adaptive laws for the three-phase stand-alone inverter
5.5 Implementation of the proposed control method for the three-phase stand-alone inverter
5.5.1 Implementation block diagram of the proposed control method for the three-phase stand-alone inverter
5.5.2 The decoupled error dynamics in d frame and q frame of the the three-phase stand-alone inverter with the proposed control method
5.5.3 Recommended way to set load voltage references in practice
5.6 Stability analysis and controller parameter selection guideline of the proposed control method for the three-phase stand-alone inverter
5.6.1 Closed-loop system stability proof
5.6.2 Controller gains selection guideline based on generalized root-locus technique
5.7 Experimental results
5.7.1 Experimental platform description
5.7.2 Verificaiton of the load disturbance adaptivity: THD% analysis of load voltage when supplying linear load & nonlinear load
5.7.3 Verificaiton of the robustness against plant parametric mismatch
5.7.4 Verificaiton of the dq decoupled control of the load voltages
5.7.5 Verfication of the overload & recovery scenarios
5.8 Conclusions
6 The proposed ellipse-optimized composite backstepping control strategy for the point-of-load (POL) inverter under load disturbance
6.1 Nomenclature
6.2 Introduction
6.3 Preliminary: mathematical modelling of the POL inverter
6.4.1 Dynamic models of the POL inverter
6.4.2 Control objectives of the POL inverter: load voltage references
6.4 Recursive derivation & implementation of the proposed composite backstepping controller for the POL inverter
6.4.1 Two-step backstepping derivation of the POL inverter in d frame
6.4.2 Two-step backstepping derivation of the POL inverter in q frame
6.4.3 Design of the Kalman filter to estimate & feedforward the load currents of the POL inverter for load disturbance rejection
6.4.4 Configuration and implementation of the proposed composite backstepping controller of the POL inverter
6.5 Stability analysis & ellipse-based parameter optimization strategy and bandwidth allocation for the POL inverter
6.5.1 Resulted decoupled closed-loop error dynamics & its dimension-reduced second-order system
6.5.2 Rigorously guaranteed closed-loop stability regulated by proposed composite backstepping controller
6.5.3 Proposed intuitive ellipse-based strategy to optimize the controller parameters with fully consideration of ? and ?n
6.5.4 Simplified quantitative bandwidth allocation of the Kalman filter aided by ellipse-optimized strategy
6.6 Experimental Results
6.6.1 Verificaiton of the robustness against plant parametric variations
6.6.2 Verificaiton of the performance evaluation under linear/nonlinear load step, reference step, overload & recovery
6.7 Conclusions
7 The proposed stability constraining dichotomy solution based model predictive control (SCDS-MPC) method for the grid connected inverters to improve the power electronic system stability
7.1 Introduction
7.2 Instability problem of power electronics systems including power inverters
7.3.1 Instability problem description
7.3.2 The instability reason of power electronic system
7.3 Preliminary of the proposed SCDS-MPC method: mathematical modeling of the power electronic system
7.3.1 Mathematical model of the grid connected inverter
7.3.2 Mathematical model of the power electronic system for stability analysis
7.4 The proposed SCDS-MPC method for the grid connected inverter to imporve the power electronic system stability
7.4.1 Traditional model predictive control method for grid connected inverter
7.4.2 Proposed dichotomy solution (DS) based model predictive control for the grid connected inverter to imporve its control performance
7.4.3 Proposed system stability constraining cost function definition of the SCDS-MPC method to guarantee the large-signal stability of the power electronic system
7.4.4 Sensitivity analysis of proposed SCDS-MPC method
7.5 Experimental results
7.5.1 Experimental prototype
7.5.2 Verficaiton of the inverter's control performance of the proposed SCDS-MPC method
7.5.3 Verficaiton of the system stability performance of the proposed SCDS-MPC method
7.6 Conclusion
8 The proposed dichotomy enhanced model predictive control for the stand-alone inverters to improve the power electronic system stability
8.1 Introduction
8.2 Preliminary of the proposed predictive control scheme: mathematical modeling of the stand-alone inverters
8.3 Traditional model predictive control method for the standalone inverters and its limitations
8.4 The proposed dichotomy enhanced model predictive control to indirectly regulate and stabilize the stand-alone inverters in power electronic system
8.4.1 Configuration of the proposed dichotomy enhanced model predictive control
8.4.2 the proposed dichotomy enhanced model predictive control with an external modulator
8.4.3 the dynamic inductor current reference of the proposed dichotomy enhanced model predictive control derived via Lyapunov theory
8.4.4 Improved dc-link voltage stabilization strategy for the standalone inverters with instantaneous power theory
8.4.5 Implementation of proposed dichotomy enhanced model predictive control
8.5 Simulation and experimental results
8.5.1 Simulation results of the proposed dichotomy enhanced model predictive control
8.5.2 Experimental results of the proposed dichotomy enhanced model predictive control
8.6 Conclusion