Stability enhancement methods of inverters based on Lyapunov function, predictive control, and reinforcement learning [electronic resource] / Xin Zhang, Jinsong He, Hao Ma, Zhixun Ma, Xiaohai Ge.

Intro
Preface
Contents
About the Authors
1 Introduction
1.1 Significance of DG in MGs
1.2 Categories of MGs
1.2.1 AC MG
1.2.2 DC MG
1.2.3 Hybrid MG
1.3 The Cornerstone of MGs: Power Inverters
1.3.1 Grid-Connected Inverters: L or LCL Filtered Inverters
1.3.2 Standalone Inverters: LC-Filtered Inverter
1.3.3 Grid-Connected and Standalone Inverters Cascaded with LC Input Filters
1.4 The Necessity of Large-Signal Stability Analysis in Control of Inverters
1.4.1 Stability Problems of Inverters and the Existing Small-Signal Stability Analysis

1.4.2 The Necessity of Large-Signal Stability Analysis
1.4.3 Existing Large-Signal Stability Analysis of Inverters Via Lyapunov's Theory
1.4.4 The Motivation of This Book: Advanced Control Strategies for the Power Inverter to Improve Its Large-Signal Stability
References
2 Adaptive Backstepping Current Control of Single-Phase LCL-Grid-Connected Inverters to Improve Its Large-Signal Stability in the Presence of Parasitic Resistance Uncertainty
2.1 Introduction
2.2 Mathematical Modelling
2.3 Derivation of Proposed Control Scheme

2.3.1 Step I: Derivation of Pseudo Reference x2ref(t) and Adaptive Law 1
2.3.2 Step II: Derivation of Pseudo Reference x3ref(t) and Adaptive Law 2
2.3.3 Step III: Derivation of Control Law (t) and Adaptive Law 3
2.4 Test Results
2.5 Conclusion
References
3 An Adaptive Dual-Loop Lyapunov-Based Control Scheme for a Single-Phase Stand-Alone Inverter to Improve Its Large-Signal Stability
3.1 Introduction
3.2 Mathematical Modelling
3.2.1 Average Model of the Investigated System
3.2.2 Load Voltage Reference
3.2.3 Current-Loop Reference

3.2.4 Model of the Load Current
3.3 Proposed Adaptive Dual-Loop Lyapunov-Based Control Scheme
3.3.1 The Proposed Lyapunov Function
3.3.2 Derivation of the Adaptive Dual-Loop Control Law
3.3.3 Implementation of Proposed Control Scheme
3.4 Stability Analysis and Robustness Verification
3.4.1 Stability Analysis
3.4.2 Robustness Against Plant Parametric Variations
3.5 Test Results
3.5.1 Steady-State and Dynamic Performance Evaluation
3.5.2 Overload and Recovery Scenario
3.6 Conclusion
References

4 Lyapunov-Based Control of Three-Phase Stand-Alone Inverters to Improve Its Large-Signal Stability with Inherent Dual Control Loops and Load Disturbance Adaptivity
4.1 Introduction
4.2 Preliminary of the Proposed Adaptive Dual-Loop Lyapunov-Based Control: Mathematical Modelling
4.2.1 Average Model of the Investigated System
4.2.2 Load Voltage References vodref, voqref, and Inductor Current References iLdref, iLqref
4.2.3 Model of the Load Currents and Proposed Adaptive Laws
4.2.4 Modified Inductor Current References iLdref, iLqref Incorporated with Adaptive Laws