Transmission Expansion Planning in Deregulated Power ... - tuprints

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8 Transmission Expansion Planning Under Uncertainty and Vagueness 104 28.8 235.7 575.2 G5 G6 L6 6 17.17 Mean of Power in MW 17.72 5 148.7 58.2 238.5 188.0 136.9 limit=200 limit=140 189.5 20.95 5.2 Fig. 8.1- Single line diagram of the eight bus test system TL4 4 98.8 16.38 1 2 3 G1,1 81.3 G2,1 (IPP) 64.8 TL2 98.8 L2 283.1 L3 25.20 G3 285.3 305.9 Mean of LMP in $/MWhr Table 8.1 - Characteristics of new generator and IPP Bus No. Type Min (MW) Max (MW) PDFof Bid ($/MWhr) Unavailability 4 Gen. 0 150 N~(22, 3) 0.02 4 IPP 0 N~(100, 20) N~(20, 2) 0.02 generator of bus 4 is closed, either a new generator or a new IPP may be installed in this bus. Characteristics of the new generator and IPP are given in table 8.1. The steps of transmission expansion planning are described in bellow. 1) Identifying the set of possible strategic scenarios The following scenarios are defined to cover above non-random uncertainties: Scenario 1: Base case Scenario 2: Base case minus the generator of bus 4 Scenario 3: Base case minus the generator of bus 4 plus the new generator Scenario 4: Base case minus the generator of bus 4 plus the new IPP Occurrence degrees of above scenarios are low, high, medium, and high respectively. 2) Suggesting candidates for transmission expansion PDFs of LMPs are computed for the peak load of planning horizon of the existing network at different scenarios. If between each two buses that have average LMP difference greater than 53.9 28.29 31.4 L4 158.3 79.7 G4 281.6 78.0 27.43 7 26.30 L8 8 G7 238.0 189.7
8 Transmission Expansion Planning Under Uncertainty and Vagueness 105 $8/MWhr a new transmission line is suggested as expansion candidate, 12 candidates will result. The set of transmission candidates is as bellow: {do nothing, line 1-3, line 1-4, line 1-7, line 1-8, line 5-3, line 5-4, line 5-7, line 5-8, line 6-3, line 6-4, line 6-7, line 6-8 } 3) Computing fuzzy appropriateness index Importance degrees of stakeholders’ desires from the viewpoint of transmission planners (Ui) were computed by aggregating importance degrees of stakeholders in decision making (tables 7.2) and importance degrees of stakeholders’ desires from viewpoint of different stakeholders (table 7.3) using equation (7.3). Importance degrees of stakeholders’ desires from the viewpoint of transmission planners are given in table 7.4. Appropriateness degrees of expansion plans versus stakeholders’ desire are computed for each scenario using the criteria presented in section 7.2 and equations (7.1)-(7.2). Table 8.2 shows the appropriateness degrees of expansion plans versus stakeholders’ desires in different scenarios. Network charge and environmental impacts of expansion plans are the same in scenarios 1 to 4. Fuzzy k appropriateness index ( F ap ) for measuring the goodness of expansion plans versus combination of all decision criteria is computed for each plan in each scenario by aggregating importance degrees of stakeholders’ desires (tables 7.4) and appropriateness degrees of expansion plans (table 8.2) using equation (7.7). Table 8.3 shows the fuzzy appropriateness index of expansion plans in different scenarios. In this table the optimal plan of each scenario was marked. All the ranking methods select the same optimal plan. 4) Computing the fuzzy regret and selecting the final plan using fuzzy risk assessment Fuzzy regret of each plan in each scenario is computed by considering occurrence degrees of future scenarios using equation (8.1). Table 8.4 shows the fuzzy regret of expansion plans in different scenarios. Fuzzy risk assessment is applied to table 8.4 for selecting the final plan. Maximum regret, average regret, and degree of robustness of order one to five are computed for each plan. Maximum regret, average regret, and degree of robustness of order one to five will be as columns 2-8 of table 8.5, if convex combination of right and left integral values with α=0.5 is used for assigning a crisp value to fuzzy regrets. Fuzzy appropriateness index ( F ) is computed for selecting the final plan by aggregating importance degrees of decision k ap criteria (table 6.5) and appropriateness degrees of expansion plans versus decision criteria (columns 2-8 of table 8.5). Column 9 of table 8.5 shows the appropriateness indices. Convex combination of right and left integral values of fuzzy appropriateness indices with α=0.5 are
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Transmission Expansion Planning in
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Acknowledgements This work was star
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Contents 1 Introduction 1 1.1 Resea
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Contents III 8.2.1 Fuzzy Regret and
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1 Introduction 2 benefits. Consumer
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2 Transmission Expansion Planning A
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3 Probabilistic locational Marginal
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4 Market Based Criteria The main ob
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4 Market Based Criteria 33 cc i wit
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4 Market Based Criteria 35 In the r
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4 Market Based Criteria 37 Fig. 4.4
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4 Market Based Criteria 39 k 1 k µ
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4 Market Based Criteria 41 with: k
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4 Market Based Criteria 43 k ANOC a
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4 Market Based Criteria 45 28.8 235
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4 Market Based Criteria 47 σ σ σ
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5 Market Based Transmission Expansi
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5 Market Based Transmission Expansi
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Page 89 and 90: 6 Fuzzy Risk Assessment In chapter
Page 91 and 92: 6 Fuzzy Risk Assessment 83 other sc
Page 93 and 94: 6 Fuzzy Risk Assessment 85 6.4.1 Fu
Page 95 and 96: 6 Fuzzy Risk Assessment 87 appropri
Page 97 and 98: 6 Fuzzy Risk Assessment 89 plan 5-2
Page 99 and 100: 7 Stakeholders’ Desires Restructu
Page 101 and 102: 7 Stakeholders’ Desires 93 Flexib
Page 103 and 104: 7 Stakeholders’ Desires 95 Table
Page 105 and 106: 7 Stakeholders’ Desires 97 7.5 Ca
Page 107: 7 Stakeholders’ Desires 99 63 11
Page 110 and 111: 8 Transmission Expansion Planning U
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Page 117 and 118: 9 Conclusions The main goal of this
Page 119: 9 Conclusions 111 of future scenari
Page 122 and 123: Appendix A: Examples on Scenario Te
Page 124 and 125: Appendix A: Examples on Scenario Te
Page 126 and 127: Appendix B: An Example on Decision
Page 128 and 129: Appendix B: An Example on Decision
Page 130 and 131: Appendix C: Examples for Locational
Page 132 and 133: Appendix D: An Example on Computing
Page 134 and 135: Symbols 126 F fuzzy appropriateness
Page 136 and 137: Symbols 128 µ mean of load at bus
Page 139 and 140: References [1] G. Latorre, R. D. Cr
Page 141 and 142: References 133 [25] H. Sun, and D.
Page 143 and 144: References 135 [53] H. Rudnick, R.
Page 145 and 146: Zusammenfassung Das Hauptziel diese
Page 147: Zusammenfassung 139 Übereinstimmun
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