Distributed Energy Management of Electrical Power Systems (E-Book) von Yinliang Xu

About the Authors xiii

Preface xv

Acknowledgment xix

List of Figures xxi

List of Tables xxxi

1 Background1

1.1 Power Management 1

1.2 Traditional Centralized vs. Distributed Solutions to Power Management 4

1.3 Existing Distributed Control Approaches 5

2 Algorithm Evaluation9

2.1 Communication Network Topology Configuration 9

2.1.1 Communication Network Design for Distributed Applications 9

2.1.2N1 Rule for Communication Network Design 11

2.1.3 Convergence of Distributed Algorithms with Variant Communication Network Typologies 13

2.2 Real-Time Digital Simulation 16

2.2.1 Develop MAS Platform Using JADE 16

2.2.2 Test-Distributed Algorithms Using MAS 18

2.2.2.1 Three-Agent System on the Same Platform 18

2.2.2.2 Two-Agent System with Different Platforms 19

2.2.3 MAS-Based Real-Time Simulation Platform 20

References 22

3 Distributed Active Power Control23

3.1 Subgradient-Based Active Power Sharing 23

3.1.1 Introduction 24

3.1.2 Preliminaries - Conventional Droop Control Approach 26

3.1.3 Proposed Subgradient-Based Control Approach 27

3.1.3.1 Introduction of Utilization Level-Based Coordination 27

3.1.3.2 Fully Distributed Subgradient-Based Generation Coordination Algorithm 28

3.1.3.3 Application of the Proposed Algorithm 31

3.1.4 Control of Multiple Distributed Generators 33

3.1.4.1 DFIG Control Approach 33

3.1.4.2 Converter Control Approach 34

3.1.4.3 Pitch Angle Control Approach 35

3.1.4.4 PV Generation Control Approach 36

3.1.4.5 Synchronous Generator Control Approach 36

3.1.5 Simulation Analyses 37

3.1.5.1 Case 1 Constant Maximum Available Renewable Generation and Load 38

3.1.5.2 Case 2 Variable Maximum Available Renewable Generation and Load 41

3.1.6 Conclusion 45

3.2 Distributed Dynamic Programming-Based Approach for Economic Dispatch in Smart Grids 46

3.2.1 Introduction 46

3.2.2 Preliminary 49

3.2.3 Graph Theory 49

3.2.4 Dynamic Programming 49

3.2.5 Problem Formulation 49

3.2.6 Economic Dispatch Problem 50

3.2.7 Discrete Economic Dispatch Problem 50

3.2.8 Proposed Distributed Dynamic Programming Algorithm 51

3.2.9 Distributed Dynamic Programming Algorithm 52

3.2.10 Algorithm Implementation 53

3.2.11 Simulation Studies 54

3.2.12 Four-generator System: Synchronous Iteration 54

3.2.12.1 Minimum Generation Adjustment pi= 2.5MW 54

3.2.12.2 Minimum Generation Adjustment pi= 1.25MW 57

3.2.13 Four-Generator System: Asynchronous Iteration 59

3.2.13.1 Missing Communication with Probability 59

3.2.13.2 Gossip Communication 60

3.2.14 IEEE 162-Bus System 61

3.2.15 Hardware Implementation 63

3.2.16 Conclusion 64

3.3 Constrained Distributed Optimal Active Power Dispatch 65

3.3.1 Introduction 65

3.3.2 Problem Formulation 67

3.3.3 Distributed Gradient Algorithm 68

3.3.4 Distributed Gradient Algorithm 68

3.3.5 Inequality Constraint Handling 70

3.3.6 Numerical Example 72

3.3.6.1 Case 1 72

3.3.6.2 Case 2 74

3.3.7 Control Implementation 75

3.3.8 Communication Network Design 76

3.3.9 Generator Control Implementation 76

3.3.10 Simulation Studies 77

3.3.11 Real-Time Simulation Platform 78

3.3.12 IEEE 30-Bus System 78

3.3.12.1 Constant Loading Conditions 80

3.3.12.2 Variable Loading Conditions 82

3.3.12.3 With Communication Channel Loss 84

3.3.13 Conclusion and Discussion 86

3.A Appendix 86

References 87

4 Distributed Reactive Power Control97

4.1 Q-Learning-Based Reactive Power Control 97

4.1.1 Introduction 98

4.1.2 Background 99

4.1.3 Algorithm Used to Collect Global Information 99

4.1.4 Reinforcement Learning 101

4.1.5 MAS-Based RL Algorithm for ORPD 101

4.1.6 RL Reward Function Definition 102

4.1.7 Distributed Q-Learning for ORPD 103

4.1.8 MASRL Implementation for ORPD 104

4.1.9 Simulation Results 106

4.1.10 WardHale 6-Bus System 106

4.1.10.1 Learning from Scratch 108

4.1.10.2 Experience-Based Learning 110

4.1.10.3 IEEE 30-Bus System 112

4.1.10.4 IEEE 162-Bus System 114

4.1.11 Conclusion 115

4.2 Sub-gradient-Based Reactive Power Control 116

4.2.1 Introduction 116

4.2.2 Problem Formulation 119

4.2.3 Distributed Sub-gradient Algorithm 120

4.2.4 Sub-gradient Distribution Calculation 122

4.2.4.1 Calculation of𝜕f𝜕Q_cifor Capacitor Banks 122

4.2.4.2 Calculation of𝜕f𝜕V_gifor a Generator 124

4.2.4.3 Calculation of𝜕f𝜕t_tifor a Transformer 124

4.2.5 Realization of Mas-Based Solution 126

4.2.5.1 Computation of Voltage Phase Angle Difference 127

4.2.5.2 Generation Control for ORPC 128

4.2.6 Simulation and Tests 129

4.2.6.1 Test of the 6-BusWardHale System 129

4.2.6.2 Test of IEEE 30-Bus System 134

4.2.7 Conclusion 141

References 141

5 Distributed Demand-Side Management147

5.1 Distributed Dynamic Programming-Based Solution for Load Management in Smart Grids 148

5.1.1 System Description and Problem Formulation 150

5.1.2 Problem Formulation 151

5.1.3 Distributed Dynamic Programming 153

5.1.3.1 Abstract Framework of Dynamic Programming (DP) 153

5.1.3.2 Distributed Solution for Dynamic Programming Problem 154

5.1.4 Numerical Example 157

5.1.5 Implementation of the LM System 158

5.1.6 Simulation Studies 160

5.1.6.1 Test with IEEE 14-bus System 160

5.1.6.2 Large Test Systems 166

5.1.6.3 Variable Renewable Generation 168

5.1.6.4 With Time Delay/Packet Loss 170

5.1.7 Conclusion and Discussion 171

5.2 Optimal Distributed Charging Rate Control of Plug-in Electric Vehicles for Demand Management 172

5.2.1 Background 175

5.2.2 Problem Formulation of the Proposed Control Strategy 175

5.2.3 Proposed Cooperative Control Algorithm 180

5.2.3.1 MAS Framework 180

5.2.3.2 Design and Analysis of Distributed Algorithm 180

5.2.3.3 Algorithm Implementation 181

5.2.3.4 Simulation Studies 183

5.3 Conclusion 190

References 191

6 Distributed Social Welfare Optimization197

6.1 Introduction 197

6.2 Formulation of OEM Problem 200

6.2.1 SocialWelfare Maximization Model 200

6.2.2 Market-Based Self-interest Motivation Model 203

6.2.3 Relationship Between Two Models 204

6.3 Fully Distributed MAS-Based OEM Solution 207

6.3.1 Distributed Price Updating Algorithm 207

6.3.2 Distributed SupplyDemand Mismatch Discovery Algorithm 209

6.3.3 Implementation of MAS-Based OEM Solution 210

6.4 Simulation Studies 212

6.4.1 Tests with a 6-bus System 212

6.4.1.1 Test Under the Constant Renewable Generation 214

6.4.1.2 Test Under Variable Renewable Generation 217

6.4.2 Test with IEEE 30-bus System 218

6.5 Conclusion 221

References 221

7 Distributed State Estimation225

7.1 Distributed Approach for Multi-area State Estimation Based on Consensus Algorithm 225

7.1.1 Problem Formulation of Multi-area Power System State Estimation 227

7.1.2 Distributed State Estimation Algorithm 228

7.1.3 Approximate Static State Estimation Model 231

7.1.4 Regarding Implementation of Distributed State Estimation 233

7.1.5 Case Studies 234

7.1.5.1 With the Accurate Model 235

7.1.5.2 Comparisons Between Accurate Model and Approximate Model 238

7.1.5.3 With Variable Loading Conditions 239

7.1.6 Conclusion and Discussion 241

7.2 Multi-agent System-Based Integrated Solution for Topology Identification and State Estimation 242

7.2.1 Measurement Model of the Multi-area Power System 244

7.2.2 Distributed Subgradient Algorithm for MAS-Based Optimization 245

7.2.3 Distributed Topology Identification 248

7.2.3.1 Measurement Modeling 248

7.2.3.2 Distributed Topology Identification 251

7.2.3.3 Statistical Test for Topology Error Identification 252

7.2.4 Distributed State Estimation 253

7.2.5 Implementation of the Integrated MAS-Based Solution for TI and SE 254

7.2.6 Simulation Studies 255

7.2.6.1 IEEE 14-bus System 255

7.2.6.2 Large Test Systems 263

7.3 Conclusion and Discussion 266

References 267

8 Hardware-Based Algorithms Evaluation271

8.1 Steps of Algorithm Evaluation 271

8.2 Controller Hardware-In-the-Loop Simulation 273

8.2.1 PC-Based C-HIL Simulation 274

8.2.2 DSP-Based C-HIL Simulation 277

8.3 Power Hardware-In-the-Loop Simulation 279

8.4 Hardware Experimentation 281

8.4.1 Test-bed Development 281

8.4.2 Algorithm Implementation 284

8.5 Future Work 288

9 Discussion and Future Work291

References 296

Index 297

Go in-depth with this comprehensive discussion of distributed energy management

Distributed Energy Management of Electrical Power Systems provides the most complete analysis of fully distributed control approaches and their applications for electric power systems available today. Authored by four respected leaders in the field, the book covers the technical aspects of control, operation management, and optimization of electric power systems.

In each chapter, the book covers the foundations and fundamentals of the topic under discussion. It then moves on to more advanced applications. Topics reviewed in the book include:

• System-level coordinated control
• Optimization of active and reactive power in power grids
• The coordinated control of distributed generation, elastic load and energy storage systems

Distributed Energy Management incorporates discussions of emerging and future technologies and their potential effects on electrical power systems. The increased impact of renewable energy sources is also covered.

Perfect for industry practitioners and graduate students in the field of power systems,Distributed Energy Management remains the leading reference for anyone with an interest in its fascinating subject matter.

YINLIANG XU, PHD, is now an Associate Professor with Tsinghua-Berkeley Shenzhen Institute, Tsinghua Shenzhen International Graduate School, Tsinghua University, P. R. China.

WEI ZHANG, PHD, is a Postdoc Resercher Associate with Department of Civil, Environmental, and Construction Engineering of College of Engineering& Computer Science, University of Central Florida, Orlando, Florida, USA.

WENXIN LIU, PHD, is an Associate Professor with the Department of Electrical and Computer Engineering, Lehigh University, Bethlehem, PA, USA.

WEN YU, PHD, is a Professor with the Departamento de Control Automatico with the Centro de Investigación y de Estudios Avanzados, Instituto Politécnico Nacional (CINVESTAV-IPN), Mexico City, Mexico.