Transmission Expansion Planning in Deregulated Power ... - tuprints

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Appendix C: Examples for Locational Marginal Price 122 Case 2: Figure C.2 shows case 2. In this case, generator 1 can not supply both loads because of the transmission constraint. Hence, 50 MW of load 2 is supplied by the generator 2. If 1 MW load is added to bus 1, this 1 MW load is supplied by generator 1. Therefore, LMP of bus 1 is equal to $10/MWhr. If 1 MW load is added to bus 2, this 1 MW load is supplied by generator 2. Therefore, LMP of bus 2 is equal to $15/MWhr. Due to transmission congestion LMPs are not equal in this case. LMP: 10$10/MWhr 100 MW Bid: $20/MWhr 400 MW @ $10/MWhr dispatched 300 MW 1 Limit: 200 MW 2 200 MW Fig. C.2- 2 bus system – case 2 200 MW @ $15/MWhr dispatched 50 MW LMP: 15 $10/MWhr 250 MW Bid: $20/MWhr Case 3: In cases 1 and 2 LMPs of buses are smaller than bid of their loads. Hence, the loads are not curtailed. Case 3 is similar to case 2; except bid of load 2 is $12/MWhr. Figure C.3 shows case 3. Due to transmission constraint, generator 1 can not supply more that 200 MW of load 2. If the rest of load 2 is supplied by generator 2, LMP of bus 2 will be $15/MWhr (like case 2) which is greater than bid of load 2. Hence, load 2 is curtailed till LMP of bus 2 decreases to bid of load 2 i.e. $12/MWhr. In fact each load can be modelled with a load which is curtailed never and an imaginary generator with the bid of load. For example, load of buses of 2 can be modelled with a 250 MW load and an imaginary generator with bid $12/MWhr. The load is supplied fully and curtailed never. Figure C.4 shows the imaginary generator. In this case first generator of bus 1 is dispatched till reach transmission constraint. After that, imaginary generator is dispatched since its bid is smaller that bid of generator 2. If 1 MW load is added to bus 1, this 1 MW load is supplied by generator 1. Therefore, LMP of bus 1 is equal to $10/MWhr. If 1 MW load is added to bus 2, this 1 MW load is supplied by imaginary generator. Therefore, LMP of bus 2 is equal to $12/MWhr. The value of load curtailment is equal to dispatched value of imaginary generator. In this case, imaginary generator produces 50 MW. This means load of bus 2 is curtailed 50 MW, and only 200 MW of it is supplied. Because of the transmission congestions LMPs are not equal in this case.
Appendix C: Examples for Locational Marginal Price 123 400 MW @ $10/MWhr dispatched 300 MW Fig. C.3- 2 bus system – case 3 200 MW @ $15/MWhr dispatched 0 MW LMP: 10$10/MWhr 1 Limit: 200 MW 2 LMP: 15 $10/MWhr 100 MW Bid: $20/MWhr 400 MW @ $10/MWhr dispatched 300 MW 200 MW 250 MW @ $12/MWhr dispatched 50 MW 200 MW @ $15/MWhr dispatched 0 MW LMP: 10$10/MWhr 1 Limit: 200 MW 2 LMP: 12 $10/MWhr 100 MW Bid: $20/MWhr 200 MW 250 MW Bid: $12/MWhr Curtailed: 50 MW 250 MW Bid: $12/MWhr Fig. C.4- 2 bus system – modelling load 2 with a fix load and an imaginary generator
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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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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
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
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Page 105 and 106: 7 Stakeholders’ Desires 97 7.5 Ca
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Page 110 and 111: 8 Transmission Expansion Planning U
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
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Page 126 and 127: Appendix B: An Example on Decision
Page 128 and 129: Appendix B: An Example on Decision
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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