Mathematical Models and Algorithms for Power System Optimization helps readers build a thorough understanding of new technologies and world-class practices developed by the State Grid Corporation of China, the organization responsible for the world’s largest power distribution network. This reference covers three areas: power operation planning, electric grid investment and operational planning and power system control. It introduces economic dispatching, generator maintenance scheduling, power flow, optimal load flow, reactive power planning, load frequency control and transient stability, using mathematic models including optimization, dynamic, differential and difference equations.
1. Chapter 1: Introduction - p. xix 2. Chapter 2: Daily Economic Dispatch Optimization With Pumped Storage Plant for a Multiarea System - p. 8 3. Chapter 3: Optimization of Annual Generator Maintenance Scheduling - p. 48 4. Chapter 4: New Algorithms Related to Power Flow - p. 80 5. Chapter 5: Load Optimization for Power Network - p. 119 6. Chapter 6: Discrete Optimization for Reactive Power Planning - p. 148 7. Abstract - p. 149 8. 6.1 Introduction - p. 150 9. 6.2 Basic Ideas of Forming an Optimization Model - p. 153 10. 6.3 Single-State Discrete VAR Optimization - p. 158 11. 6.4 Multistate Discrete VAR Optimization - p. 174 12. 6.5 Discrete VAR Optimization based on Expert Rules - p. 192 13. 6.6 Discrete VAR Optimization based on GA - p. 207 14. 6.7 Conclusion - p. 216 15. Chapter 7: Optimization Method for Load Frequency Feed Forward Control - p. 219 16. Abstract - p. 221 17. 7.1 Introduction - p. 222 18. 7.2 Basic Ideas of Modeling - p. 225 19. 7.3 Identification of Load Disturbance Model ΔPL - p. 228 20. 7.4 Model for a Typical Power System - p. 237 21. 7.5 Hierarchical Estimation for the Power System - p. 245 22. 7.6 Load Frequency Controller of the Power System - p. 249 23. 7.7 Transformation Methods of Linear Models - p. 253 24. 7.8 Implementation - p. 265 25. 7.9 Conclusion - p. 282 26. Chapter 8: Local Decoupling Control Method for Transient Stability of a Power System - p. 282 27. Abstract - p. 283 28. 8.1 Introduction - p. 284 29. 8.2 Basic Ideas of Solving the Problem - p. 287 30. 8.3 Basic Concepts of Control Criteria based on Local Control - p. 290 31. 8.4 Formulation and Proof of the First Stage Control Criterion (Energy Equilibrium) - p. 305 32. 8.5 Formulation and Proof of the Second Stage Control Criterion (Norm Reduction) - p. 307 33. 8.6 General Simulation Calculation Procedure in Two-Stage Control - p. 332 34. 8.7 Numerical Model in Simulation Calculation - p. 338 35. 8.8 Implementation - p. 353 36. 8.9 Conclusion - p. 364 37. Chapter 9: Optimization of Electricity Market Transaction Decisions based on Market General Equilibrium - p. 366 38. Appendix A: An Approximation Method for Mixed Integer Programming - p. 397 39. Appendix B: The Differential Expressions for Transformer Tap and Shunt Capacitor Unit - p. 403 40. Appendix C: A DC Load Flow Method for Calculating Generation Angle - p. 409 41. References - p. 415 42. Index - p. 421
Mathematical Models and Algorithms for Power System Optimization helps readers build a thorough understanding of new technologies and world-class practices developed by the State Grid Corporation of China, the organization responsible for the world’s largest power distribution network. This reference covers three areas: power operation planning, electric grid investment and operational planning and power system control. It introduces economic dispatching, generator maintenance scheduling, power flow, optimal load flow, reactive power planning, load frequency control and transient stability, using mathematic models including optimization, dynamic, differential and difference equations.
1. Chapter 1: Introduction - p. xix 2. Chapter 2: Daily Economic Dispatch Optimization With Pumped Storage Plant for a Multiarea System - p. 8 3. Chapter 3: Optimization of Annual Generator Maintenance Scheduling - p. 48 4. Chapter 4: New Algorithms Related to Power Flow - p. 80 5. Chapter 5: Load Optimization for Power Network - p. 119 6. Chapter 6: Discrete Optimization for Reactive Power Planning - p. 148 7. Abstract - p. 149 8. 6.1 Introduction - p. 150 9. 6.2 Basic Ideas of Forming an Optimization Model - p. 153 10. 6.3 Single-State Discrete VAR Optimization - p. 158 11. 6.4 Multistate Discrete VAR Optimization - p. 174 12. 6.5 Discrete VAR Optimization based on Expert Rules - p. 192 13. 6.6 Discrete VAR Optimization based on GA - p. 207 14. 6.7 Conclusion - p. 216 15. Chapter 7: Optimization Method for Load Frequency Feed Forward Control - p. 219 16. Abstract - p. 221 17. 7.1 Introduction - p. 222 18. 7.2 Basic Ideas of Modeling - p. 225 19. 7.3 Identification of Load Disturbance Model ΔPL - p. 228 20. 7.4 Model for a Typical Power System - p. 237 21. 7.5 Hierarchical Estimation for the Power System - p. 245 22. 7.6 Load Frequency Controller of the Power System - p. 249 23. 7.7 Transformation Methods of Linear Models - p. 253 24. 7.8 Implementation - p. 265 25. 7.9 Conclusion - p. 282 26. Chapter 8: Local Decoupling Control Method for Transient Stability of a Power System - p. 282 27. Abstract - p. 283 28. 8.1 Introduction - p. 284 29. 8.2 Basic Ideas of Solving the Problem - p. 287 30. 8.3 Basic Concepts of Control Criteria based on Local Control - p. 290 31. 8.4 Formulation and Proof of the First Stage Control Criterion (Energy Equilibrium) - p. 305 32. 8.5 Formulation and Proof of the Second Stage Control Criterion (Norm Reduction) - p. 307 33. 8.6 General Simulation Calculation Procedure in Two-Stage Control - p. 332 34. 8.7 Numerical Model in Simulation Calculation - p. 338 35. 8.8 Implementation - p. 353 36. 8.9 Conclusion - p. 364 37. Chapter 9: Optimization of Electricity Market Transaction Decisions based on Market General Equilibrium - p. 366 38. Appendix A: An Approximation Method for Mixed Integer Programming - p. 397 39. Appendix B: The Differential Expressions for Transformer Tap and Shunt Capacitor Unit - p. 403 40. Appendix C: A DC Load Flow Method for Calculating Generation Angle - p. 409 41. References - p. 415 42. Index - p. 421
