Transmission Expansion Planning in Deregulated Power ... - tuprints

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5 Market Based Transmission Expansion Planning 58 Table 5.4- Characteristics of loads of IEEE 30 bus test system Bus No. Min (MW) PDF of Load (MW) Bid ($/MWhr) Unavailability 3 0 N~(160, 12) 15 0.05 5 0 N~(85, 7.5) 14 0.05 7 0 N~(50, 5) 15 0.05 8 0 N~(25, 2) 17 0.05 10 0 N~(190, 15) 20 0.05 12 0 N~(50, 4) 18 0.05 13 0 N~(20, 2) 19 0.05 14 0 N~(50, 4.5) 17 0.05 15 0 N~(50, 5) 16 0.05 16 0 N~(9, 0.5) 20 0.05 8 0 N~(35, 2) 21 0.05 19 0 N~(17, 0.5) 23 0.05 20 0 N~(60, 4.5) 17 0.05 21 0 N~(34, 2.5) 19 0.05 23 0 N~(85, 7.5) 22 0.05 24 0 N~(9, 0.6) 25 0.05 25 0 N~(9, 0.2) 25 0.05 27 0 N~(27, 2) 23 0.05 29 0 N~(35, 2.5) 24 0.05 continued till reach a zero congestion cost network, we will also have a flat price profile. Vice versa, if standard deviation of mean of LMP (or weighted standard deviation of mean of LMP) is used as planning criterion and it is tried to reduce standard deviation of mean of LMP by expansion planning, other criteria will reduce and after achieving a flat price profile we will also have zero congestion cost (see (4.2)). Planning criteria propose different paths (expansion plans) to achieve flat price profile or zero congestion cost. To determine the impacts of reduction of one criterion on the other criteria, and to determine which criterion leads to zero congestion cost and flat price profile at minimum cost or at minimum number of expansion plans, transmission expansion planning is performed eight times (stages) under different criteria. For each criterion, after determining the minimax regret plan, it is added to the network and the approach is repeated. At the first stage of planning between each two buses which have average LMP difference greater than SV=$5/MWhr a new line is suggested as transmission candidate. As new lines are added to the network, price profile becomes flatter. Therefore, number of candidates for the next planning stages decreases. In the stages that suggested candidates do not improve the selected criterion or in the stages that only a few candidates are suggested, SV is decreased to have reasonable number of candidates. To determine the effects of non-random uncertainties on the performance of market based criteria expansion planning is performed under two different assumptions: There is not any nonrandom uncertainty, and there is non-random uncertainty.
5 Market Based Transmission Expansion Planning 59 5.3.1 Case 1: There Is Not Any Non-random Uncertainty In this case there is only one scenario, the scenario which is shown in tables 5.3 and 5.4. Therefore, the minimax regret plan and the optimal plan are the same. Transmission planning is performed under the following market based criteria: a) b) c) σ : Standard deviation of mean of LMP (SML) µ lmp σ : Standard deviation of mean of LMP weighted with mean of µ , w= Pg lmp generation power (WG) σ : Standard deviation of mean of LMP weighted with mean of load (WD) µ , w= Pd lmp d) σ : Standard deviation of mean of LMP weighted with mean of µ , w= P + Pd e) f) lmp g sum of generation power and load (WGD) k µ : Average congestion cost (ACC) tcc k µ : Average load payment (ALP) tlp Table 5.5 shows the result of planning under SML criterion. In this table rows 1-4 show SV, number of suggested candidates (NC), optimal plan (OP), and capacity of optimal plan (COP) at different stages of planning. Rows 5-10 show the values of different market based criteria in different stages of planning if SML is used as planning criterion. Consider the first stage of planning (column 3 of table 5.5). At first stage of planning SV is $5/MWhr and 88 candidates are suggested for transmission expansion. If SML is used as planning criterion line 22-29 is the optimal expansion plan. Capacity of this line must be 60 MW in order to ensure the probability of violating its limit is less than one percent. If line 22-29 is added to the network, standard deviation of mean of LMP reduces from $2.6351/MWhr to $2.0798/MWhr and average congestion cost reduces from $2240.8/hr to $2023.6/hr. At fourth stage of planning with SV = $5/MWhr only 8 candidates are suggested. In order to avoid from losing the optimal plan, SV reduces to $4/MWhr. Tables 5.6-5.10 shows the results of planning under other market based criteria. In tables 5.5-5.10 smaller SV indicates flatter price profile since SV is reduced when enough candidates are not suggested for transmission expansion. At a constant SV, smaller number of candidates indicates flatter price profile since number of candidates is equal to number of pairs of buses which have LMP difference greater than SV. Figure 5.4 shows how SML changes in different stages of planning when SML, WG, WD,
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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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2 Transmission Expansion Planning A
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Page 24 and 25: 3 Probabilistic locational Marginal
Page 39 and 40: 4 Market Based Criteria The main ob
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Page 43 and 44: 4 Market Based Criteria 35 In the r
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Page 51 and 52: 4 Market Based Criteria 43 k ANOC a
Page 53 and 54: 4 Market Based Criteria 45 28.8 235
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Page 89 and 90: 6 Fuzzy Risk Assessment In chapter
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Page 93 and 94: 6 Fuzzy Risk Assessment 85 6.4.1 Fu
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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
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9 Conclusions The main goal of this
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9 Conclusions 111 of future scenari
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Appendix A: Examples on Scenario Te
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Appendix A: Examples on Scenario Te
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Appendix B: An Example on Decision
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Appendix B: An Example on Decision
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Appendix C: Examples for Locational
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Appendix D: An Example on Computing
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Symbols 126 F fuzzy appropriateness
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Symbols 128 µ mean of load at bus
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References [1] G. Latorre, R. D. Cr
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References 133 [25] H. Sun, and D.
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References 135 [53] H. Rudnick, R.
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Zusammenfassung Das Hauptziel diese
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Zusammenfassung 139 Übereinstimmun
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