Power Systems Engineering and Mathematics

Foreword

Introduction and Contents

Part One. General

Chapter 1. Engineering Design and Mathematical Programming


1.1. The Process of Engineering Design


1.2. Application of Computers in System Design and Operation


1.3. Methods of Optimisation

Chapter 2. An Outline of Power System Planning and Operation


2.1. Objectives of System Planning


2.2. Stages in System Planning and Design


2.3. The Transition from Planning to Operation


2.4. The Objektives of System Operation


2.5. Stages in System Operation

Chapter 3. Some Frequently Used Analytical Techniques


3.1. Power Flows and Voltage


3.2. The Nodal Impedance Matrix


3.3. Fault Levels


3.4. Transient and Steady-State Stability


3.5. Some Useful Approximations


3.6. System Costs

Part Two. System Planning

Chapter 4. The Estimation of Demand and Total Generation Requirement


4.1. Estimation of Energy and Active Power Demands


4.2. Estimation of Reactive Power


4.3. The Estimation of Available Generation Capacity


4.4. Reliability of Supply


4.5. Gross Plant Margins and Standards of Supply in Practice

Chapter 5. Standardisation Studies for Network Plant


5.1. Standardisation Studies for One Stage of Development


5.2. Standardisation Studies for Several Stages of Development


5.3. Fault Levels and Switchgear Rupturing Capacity

Chapter 6. Generation Expansion Studies


6.1. Comparative Economic Assessment of Individual Generation Projects


6.2. The Investigation of Outline Generation Expansion Plans


6.3. Simulation Models in Generation Expansion Planning


6.4. A Heuristic Method to Investigate Outline Expansion Plans


6.5. Linear Prograrnming Models


6.6. Dynamic Programming Formulations


6.7. Other Non-Linear Models


6.8. Conclusion

Chapter 7. Network Configuration Studies


7.1. Typical Network Configurations


7.2. The Configuration and Computation


7.3. The Configuration Design Problem


7.4. Costing of Schemes


7.5. Security Criteria and Analysis of Network Viability


7.6. Outline Design


7.7. Configuration Design


7.8. Configuration Synthesis Using Engineering Judgement


7.9. Network Synthesis Using Mixed Engineering Judgement/Optimisation Methods


7.10. Configuration Synthesis Using Heuristic Logic


7.11. Configuration Synthesis Using a Combinatorial Approach


7.12. Two Recent Proposals for Configuration Synthesis


7.13. Other Possible Approaches to Configuration Synthesis


7.14. Conclusion

Chapter 8. Probability and Planning


8.1. Reliability Analysis in Network Planning


8.2. Reliability Analysis on the Generation and Transmission System


8.3. Risk and Uncertainty in Investment Decisions


8.4. Conclusion

Part Three. System Operation

Chapter 9. Time Scales and Computation in System Operation

Chapter 10. Load Prediction and Generation Capacity


10.1. The Prediction of Demand


10.2. Generation Capacity


10.3. Optimum Maintenance Programming


10.4. Fuel Supplies and Costs

Chapter 11. Security Assessment


11.1. Indications and Analysis of Insecure Operation


11.2. Security Assessment Against Excessive Current Flows


11.3. Security Assessment Against Excessive Fault Levels


11.4. Security Assessment Against Excessive Voltage Changes


11.5. Security Assessment Against System Instability


11.6. The Present and Trends in Predictive Security Assessment


11.7. The Present and Trends in On-Line-Security Assessment

Chapter 12. The Scheduling of Generating Plant


12.1. A Manual Method of Scheduling


12.2. Integer Programming Methods


12.3. A Dynamic Programming Method


12.4. Heuristic Methods


12.5. Conclusion

Chapter 13. The Dispatching of Generation


13.1. Primary, Secondary and Tertiary Regulation


13.2. Operation of Interconnected Areas


13.3. Economic Dispatch Using the "Coordination Equations"


13.4. Economic Dispatching Incorporating Grouptransfer Analysis


13.5. Economic Dispatching Incorporating Multiple-Load-Flow Analysis


13.6. Dispatching Models Including an Exact Network Solution


13.7. Transmission Loss Calculations and Optimum Dispatch


13.8. System Control Centres


13.9. Assessment of Optimum Network Configuration in Operation


13.10. A Brief Note on the Operation of Hydrothennal Systems


13.11. Computers and Dispatching in the Future

Conclusion

Appendix 1. Some Concepts in Probability Theory


1.1. Markovian Systems


1.2. Some Basic Equations in Reliability Theory


1.3. Probability and the Binomial Distribution


1.4. The Monte Carlo Method

Appendix 2. Mathematical Programming


2.1. Linear Programming


2.2. Some Special Forms and Extensions of Linear Programming


2.3. Non-Linear Programming


2.4. Dynamic Programming

Appendix 3. Terms and Symbols Used


3.1. Terms


3.2. Symbols

References

Index

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