Stability enhancement methods of inverters based on Lyapunov function, predictive control, and reinforcement learning

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.

This book introduces a family of large-signal stability-based control methods for different power inverters (grid-connected inverter, standalone inverter, single-phase inverter, and three-phase inverter) in practical applications. Power inverters have stability issues, which include the inverter...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Zhang, Xin
Other Authors: He, Jinsong, Ma, Hao, Ma, Zhixun, Ge, Xiaohai
Format: Electronic eBook
Language:English
Published: Singapore : Springer, 2023.
Subjects:
Electric inverters > Mathematical models.
Lyapunov functions.
Table of Contents:
  • 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 ยต(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.

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