Page 19 - Mathematical Models and Algorithms for Power System Optimization

CHAPTER 2
Daily Economic Dispatch Optimization With

Pumped Storage Plant for a Multiarea

System

Chapter Outline
2.1 Introduction 10
2.1.1 Outline of the Problem 10
2.1.2 Basic Requirements of Pumped Storage Plant Operation 12
2.1.3 Overview of This Chapter 14
2.2 Basic Ideas of Developing an Optimization Model 15
2.2.1 Way of Processing Objective Function 16
2.2.2 Way of Processing Variables and Constraints 17
2.2.3 Way of Processing Integer Variables for Pumped Storage Plant 19
2.3 Formulation of the Problem 19
2.3.1 Notations 20
2.3.2 Basic Expression of the Optimization Model 20
2.3.3 Basic Structure of the Constraint Matrix 23
2.4 Preprocessing of the Optimization Calculation 23
2.4.1 Validity Test of the Input Data 25
2.4.2 Validity for the Rationality of the Constraints 25
2.4.3 Forming the Virtual Cost Function for a Pumped Storage Plant 28
2.4.4 Forming the Cost Function for an Individual Power Plant 29
2.4.5 Forming the Constraints at Different Periods for Each Unit 29
2.4.6 Forming the Coefficient Matrix 29
2.5 Computation Procedure for Optimization 29
2.5.1 Main Calculation Procedure 30
2.5.2 Description of the Input Data 30
2.5.3 Special Settings to Meet the Calculation Requirements 32
2.5.4 Description of the Output Results 33
2.6 Implementation 33
2.6.1 Concrete Expression of Objective and Constraint Functions for a Small Scale System 33
2.6.2 Scale of the Practical System 35
2.6.3 Analysis of Peak-Valley Difference in the Load Curve 36
2.6.4 Constraints of Pumped Storage Plant and Related Conversion Calculation 38
2.6.5 Optimization Calculation Results 39
2.7 Conclusion 47

Mathematical Models and Algorithms for Power System Optimization. https://doi.org/10.1016/B978-0-12-813231-9.00002-9
# 2019 China Electric Power Press. Published by Elsevier Inc. All rights reserved.
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