Stability-Constrained Optimization for Modern Power System Operation and Planning
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 world
* Transient 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 approaches
* Optimal 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.

Yan Xu obtained B.E. and M.E. degrees from South China University of Technology, China, and the Ph.D. from University of Newcastle, Australia, in 2008, 2011, and 2013, respectively. He conducted postdoctoral research with the University of Sydney Postdoctoral Fellowship, and then joined Nanyang Technological University (NTU) with the Nanyang Assistant Professorship. He is now an Associate Professor at the School of Electrical and Electronic Engineering, and a Cluster Director at the Energy Research Institute, Nanyang Technological University, Singapore (ERI@N). His research interests include power system stability, microgrid, and data analytics for smart grid applications. He is an Editor for IEEE Trans. Smart Grid and IEEE Trans. Power Systems.

Yuan Chi received B.E. degree from Southeast University, Nanjing, China, in 2009, and the M.E. degree from Chongqing University, Chongqing, China, in 2012, and the Ph.D. degree from Nanyang Technological University, Singapore, in 2021. From 2012 to 2017, he worked as an Electrical Engineer of Power System Planning consecutively with State Grid Chongqing Electric Power Research Institute and Chongqing Economic and Technological Research Institute. He is currently a Research Associate with Chongqing University. His research interests include planning, resilience, and voltage stability of power systems.

Heling Yuan received B.E., M.Sc., and Ph.D. degrees from North China Electric Power University, Beijing, China, and the University of Manchester, and Nanyang Technological University (NTU), Singapore, in 2016, 2017, and 2022, respectively. She is currently a Research Fellow at Rolls-Royce @ NTU Corporate Lab, Singapore. Her research interests include modeling, optimization, stability analysis and control of power systems.

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