2021
DOI: 10.1016/j.epsr.2021.107376
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Strategic offering of producers in the day-ahead coupled gas and electricity market including energy and reserve models

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Cited by 8 publications
(22 citation statements)
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“…e SP may not reach the optimal solution without the expression ω • |x − 􏽢 x| for􏽢 x values due to considering SDN operation limits. To compensate for this, the phraseω • |x − 􏽢 x| is added to the objective function of the second layer problem [60]. erefore, in this case, the determined value of x in this step is equal to the optimal values of P MS and Q MS in iteration v. Note also that the expression ω • |x − 􏽢 x| is nonlinear.…”
Section: Solution Methodmentioning
confidence: 99%
“…e SP may not reach the optimal solution without the expression ω • |x − 􏽢 x| for􏽢 x values due to considering SDN operation limits. To compensate for this, the phraseω • |x − 􏽢 x| is added to the objective function of the second layer problem [60]. erefore, in this case, the determined value of x in this step is equal to the optimal values of P MS and Q MS in iteration v. Note also that the expression ω • |x − 􏽢 x| is nonlinear.…”
Section: Solution Methodmentioning
confidence: 99%
“…In Equations ( 34)-( 39), the OPF model is expressed in the heat network [5,16], which respectively represent the heat power balance in different nodes, the heat power passing through the pipeline, the temperature level in the slack node, the temperature limit in different nodes, the limitation of the heat power passing through the pipeline, and the limitation of the heat power produced by the heat production unit. In constraints ( 40)-( 48), the formulation of OPF in the gas network is stated [5,67]. Constraint (40) expresses the gas power balance in different nodes.…”
Section: Lower-level Problemmentioning
confidence: 99%
“…Constraint (40) expresses the gas power balance in different nodes. In the constraints ( 41)-( 44) of the linearized model, the calculation of the heat power passing through the pipeline based on the piecewise linearization technique [5,67] is stated. In fact, this power can be calculated from the nonlinear equation of G L g,l ,t ,w = 𝛿 g,l sign(𝜅 g,t ,w , 𝜅 l ,t ,w ) √ sign(𝜅 g,t ,w , 𝜅 l ,t ,w )((𝜅 g,t ,w ) 2 − (𝜅 l ,t ,w ) 2 ).…”
Section: Lower-level Problemmentioning
confidence: 99%
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