Transmission Expansion Planning in Deregulated Power ... - tuprints

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Transmission Expansion Planning in Deregulated Power ... - tuprints

Contents

1 Introduction 1

1.1 Research Motivations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

1.2 esearch Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

1.3 Thesis Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2

2 Transmission Expansion Planning Approaches 3

2.1 Literature Survey: State of the art . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

2.1.1 Non-deterministic Transmission Expansion Planning Approaches . . . . . 5

2.1.1.1 Probabilistic Load Flow . . . . . . . . . . . . . . . . . . . . . . . . 5

2.1.1.2 Probabilistic Based Reliability Criteria . . . . . . . . . . . . . . . . 6

2.1.1.3 Scenario Technique . . . . . . . . . . . . . . . . . . . . . . . . . . 6

2.1.1.4 Decision Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

2.1.1.5 Fuzzy Decision Making . . . . . . . . . . . . . . . . . . . . . . . . 9

2.1.2 Transmission Expansion Planning Approaches for Deregulated

Power Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

2.1.2.1 Objectives of Transmission Expansion Planning

in Deregulated Power Systems . . . . . . . . . . . . . . . . . . . 10

2.1.2.2 Uncertainties and Vagueness in Deregulated Power Systems . . 11

2.2 Problem Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13

3 Probabilistic Locational Marginal Prices 15

3.1 Locational Marginal Prices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

3.1.1 Bidding Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

3.1.2 Mathematical Model for Computing Locational Marginal Prices . . . . . 17

3.1.2.1 Optimal Power Flow . . . . . . . . . . . . . . . . . . . . . . . . . 17

3.1.2.2 Shadow Prices . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

3.2 Probabilistic Locational Marginal Prices . . . . . . . . . . . . . . . . . . . . . . . 20

3.2.1 Why Probability Density Functions of Locational Marginal Prices? . . . . 20

3.2.2 Probabilistic Optimal Power Flow . . . . . . . . . . . . . . . . . . . . . . 21

3.2.2.1 Determining the Probability Density Functions of Random Inputs 21

3.2.2.2 Sampling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22

3.2.2.3 Solving the Optimal Power Flow . . . . . . . . . . . . . . . . . . 23

3.2.2.4 Estimating the Probability Density Functions of Output Variables 23

3.2.3 Algorithm of Computing Probability Density Functions of

Locational Marginal Prices . . . . . . . . . . . . . . . . . . . . . . . . . . 23

3.3 Case Study . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25

4 Market Based Criteria 31

4.1 Requirements of Competitive Markets . . . . . . . . . . . . . . . . . . . . . . . . 31

4.2 Market Based Criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32

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