About the Authors xvii Foreword xix Preface xxi Part I Power System Stability Preliminaries 1 1 Power System Stability: Definition, Classification, and Phenomenon 5 1.1 Introduction 5 1.2 Definition 6 1.3 Classification 6 1.4 Rotor Angle Stability 7 1.5 Voltage Stability 10 1.6 Frequency Stability 12 1.7 Resonance Stability 14 1.8 Converter-Driven Stability 16 2 Mathematical Models and Analysis Methods for Power System Stability 19 2.1 Introduction 19 2.2 General Mathematical Model 19 2.3 Transient Stability Criteria 20 2.4 Time-Domain Simulation 21 2.5 Extended Equal-Area Criterion (EEAC) 23 2.6 Trajectory Sensitivity Analysis 26 3 Recent Large-Scale Blackouts in the World 33 3.1 Introduction 33 3.2 Major Blackouts in the World 33 Part II Transient Stability-Constrained Dispatch and Operational Control 45 4 Power System Operation and Optimization Models 49 4.1 Introduction 49 4.2 Overview and Framework of Power System Operation 49 4.3 Mathematical Models for Power System Optimal Operation 51 4.4 Power System Operation Practices 59 5 Transient Stability-Constrained Optimal Power Flow (TSC-OPF): Modeling and Classic Solution Methods 65 5.1 Mathematical Model 65 5.2 Discretization-based Method 66 5.3 Direct Method 68 5.4 Evolutionary Algorithm-based Method 70 6 Hybrid Method for Transient Stability-Constrained Optimal Power Flow 79 6.1 Introduction 79 6.2 Proposed Hybrid Method 80 6.3 Technical Specification 83 6.4 Case Studies 85 7 Data-Driven Method for Transient Stability-Constrained Optimal Power Flow 97 7.1 Introduction 97 7.2 Decision Tree-based Method 98 7.3 Pattern Discovery-based Method 103 7.4 Case Studies 110 8 Transient Stability-Constrained Unit Commitment (TSCUC) 133 8.1 Introduction 133 8.2 TSC-UC model 134 8.3 Transient Stability Control 135 8.4 Decomposition-based Solution Approach 137 8.5 Case Studies 140 9 Transient Stability-Constrained Optimal Power Flow under Uncertainties 155 9.1 Introduction 155 9.2 TSC-OPF Model with Uncertain Dynamic Load Models 157 9.3 Case Studies for TSC-OPF Under Uncertain Dynamic Loads 164 9.4 TSC-OPF Model with Uncertain Wind Power Generation 170 9.5 Case Studies for TSC-OPF Under Uncertain Wind Power 175 9.6 Discussions and Concluding Remarks 189 10 Optimal Generation Rescheduling for Preventive Transient Stability Control 195 10.1 Introduction 195 10.2 Trajectory Sensitivity Analysis for Transient Stability 196 10.3 Transient Stability Preventive Control Based on Critical OMIB 198 10.4 Case Studies of Transient Stability Preventive Control Based on the Critical OMIB 202 10.5 Transient Stability Preventive Control Based on Stability Margin 213 10.6 Case Studies of Transient Stability Preventive Control Based on Stability Margin 217 11 Preventive-Corrective Coordinated Transient Stability-Constrained Optimal Power Flow under Uncertain Wind Power 233 11.1 Introduction 233 11.2 Framework of the PC--CC Coordinated TSC-OPF 234 11.3 PC--CC Coordinated Mathematical Model 235 11.4 Solution Method for the PC--CC Coordinated Model 239 11.5 Case Studies 243 12 Robust Coordination of Preventive Control and Emergency Control for Transient Stability Enhancement under Uncertain Wind Power 255 12.1 Introduction 255 12.2 Mathematical Formulation 255 12.3 Transient Stability Constraint Construction 260 12.4 Solution Approach 261 12.5 Case Studies 264 Part III Voltage Stability-Constrained Dynamic VAR Resources Planning 281 13 Dynamic VAR Resource Planning for Voltage Stability Enhancement 285 13.1 Framework of Power System VAR Resource Planning 285 13.2 Mathematical Models for Optimal VAR Resource Planning 285 13.3 Power System Planning Practices 288 14 Voltage Stability Indices 293 14.1 Conventional Voltage Stability Criteria 293 14.2 Steady-State and Short-term Voltage Stability Indices 297 14.3 Time-Constrained Short-term Voltage Stability Index 301 15 Dynamic VAR Resources 311 15.1 Fundamentals of Dynamic VAR Resources 311 15.2 Dynamic Models of Dynamic VAR Resources 314 16 Candidate Bus Selection for Dynamic VAR Resource Allocation 319 16.1 Introduction 319 16.2 General Framework of Candidate Bus Selection 320 16.3 Zoning-based Candidate Bus Selection Method 321 16.4 Correlated Candidate Bus Selection Method 327 16.5 Case Studies 338 17 Multi-objective Dynamic VAR Resource Planning 361 17.1 Introduction 361 17.2 Multi-objective Optimization Model 362 17.3 Decomposition-based Solution Method 365 17.4 Case Studies 368 18 Retirement-Driven Dynamic VAR Resource Planning 375 18.1 Introduction 375 18.2 Equipment Retirement Model 376 18.3 Retirement-Driven Dynamic VAR Planning Model 378 18.4 Solution Method 380 18.5 Case Studies 381 19 Multi-stage Coordinated Dynamic VAR Resource Planning 389 19.1 Introduction 389 19.2 Coordinated Planning and Operation Model 390 19.3 Solution Method 408 19.4 Case Studies 411 20 Many-objective Robust Optimization-based Dynamic VAR Resource Planning 429 20.1 Introduction 429 20.2 Robustness Assessment of Planning Decisions 430 20.3 Many-objective Dynamic VAR Planning Model 436 20.4 Many-objective Optimization Algorithm 439 20.5 Case Studies 445 Nomenclature 452 References 455 Index 459

Comprehensive treatment of an aspect of stability constrained operations and planning, including the latest research and engineering practices Stability-Constrained Optimization for Modern Power System Operation and Planning focuses on the subject of power system stability. Unlike other books in this field, which focus mainly on the dynamic modeling, stability analysis, and controller design for power systems, this book is instead dedicated to stability-constrained optimization methodologies for power system stability enhancement, including transient stability-constrained power system dispatch and operational control, and voltage stability-constrained dynamic VAR Resources planning in the power grid. Authored by experts with established track records in both research and industry, Stability-Constrained Optimization for Modern Power System Operation and Planning covers three parts: Overview of power system stability, including definition, classification, phenomenon, mathematical models and analysis tools for stability assessment, as well as a review of recent large-scale blackouts in the worldTransient stability-constrained optimal power flow (TSC-OPF) and transient stability constrained-unit commitment (TSC-UC) for power system dispatch and operational control, including a series of optimization model formulations, transient stability constraint construction and extraction methods, and efficient solution approachesOptimal planning of dynamic VAR Resources (such as STATCOM and SVC) in power system for voltage stability enhancement, including a set of voltage stability indices, candidate bus selection methods, multi-objective optimization model formulations, and high-quality solution approaches Stability-Constrained Optimization for Modern Power System Operation and Planning provides the latest research findings to scholars, researchers, and postgraduate students who are seeking optimization methodologies for power system stability enhancement, while also offering key practical methods to power system operators, planners, and optimization algorithm developers in the power industry.