上游充廷大¥ Seeing the Uniform-Pricing model from SHANGHAI IIAO TONG UNIVERSITY the perspective of the generator 1 The dispatch problem considering the constraints of generators output. Lagrangian multiplier expression: r=pP。+2(e'P。-Pn)+∑(P-E)∑(-Pa) One of the optimality conditions can be expressed as =n+2+-无=0,6=12Na ar 2016/12/22
The dispatch problem considering the constraints of generators output. • Lagrangian multiplier expression: • One of the optimality conditions can be expressed as: 2016/12/22 6 Seeing the Uniform-Pricing model from the perspective of the generator 1 ( )( )( ) T T G G D i Gi Gi i Gi Gi i i pP eP P PP PP 0, ( 1, 2,..., ) i ii G Gi p iN P
上游充廷大¥ Seeing the Uniform-Pricing model from SHANGHAI IIAO TONG UNIVERSITY the perspective of the generator 2 If a generator is dispatched at neither its upper limit nor its lower limit,it is called the marginal unit.Suppose there is only one marginal unit,and its number is m. According to the K-K-T condition,the multiplier corresponding to unit m: tm =tm =0 ©Therefore: pm+入=0 2016/12/22
If a generator is dispatched at neither its upper limit nor its lower limit, it is called the marginal unit. Suppose there is only one marginal unit, and its number is m. According to the K-K-T condition, the multiplier corresponding to unit m: Therefore: 2016/12/22 7 Seeing the Uniform-Pricing model from the perspective of the generator 2 0 m m m p +λ=0
上游充廷大¥ Seeing the Uniform-Pricing model from SHANGHAI IIAO TONG UNIVERSITY the perspective of the generator 3 For units that have reached its upper limit: 元=0 .p+九+元=0,p,+元=-入 t>0.p<-见 2016/12/22
For units that have reached its upper limit: 2016/12/22 8 Seeing the Uniform-Pricing model from the perspective of the generator 3 0 0, 0 i i i ii i i p p p
上游充廷大¥ Seeing the Uniform-Pricing model from SHANGHAI IIAO TONG UNIVERSITY the perspective of the generator 4 For units that have reached its lower limit 元=0 ∴.p,+2-元=0,P,-元=-2 元>0. .p,>-元 2016/12/22
For units that have reached its lower limit: 2016/12/22 9 Seeing the Uniform-Pricing model from the perspective of the generator 4 0 0, 0 i i i ii i i p p p
上游充通大学 Seeing the Uniform-Pricing model from SHANGHAI IIAO TONG UNIVERSITY the perspective of the generator 5 Therefore,from the perspective of the generator,a reasonable settlement price is - Then,what the situation will be if seeing from the perspective of the load 2016/12/22
Therefore, from the perspective of the generator, a reasonable settlement price is Then, what the situation will be if seeing from the perspective of the load ? 2016/12/22 10 Seeing the Uniform-Pricing model from the perspective of the generator 5