IECON 2013 - 39th Annual Conference of the IEEE Industrial Electronics Society 2013
DOI: 10.1109/iecon.2013.6700498
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Mixed-integer formulation of unit commitment problem for power systems: Focus on start-up cost

Abstract: Abstract-In this work, the Mixed-Integer (MIP) formulation for unit commitment problem (UC) for power systems is discussed. A new formulation for the start-up cost is suggested as well. This new formulation of the start-up cost exploits the transformation of the conditional statements into inequalities that comprise linear combination of binary variables. Solutions of the suggested optimization problem were obtained. A comparison between these solutions and those of a strategy common in literature is held to s… Show more

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Cited by 9 publications
(9 citation statements)
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“…In the UCP variant we consider in this paper, we seek to find a power generation schedule that minimizes the total operational cost subject to typical UCP constraints such as minimum up/down times, generation capacity, demand satisfaction, ramping requirements, and spinning reserve. The typical MIP formulation of this problem is given in (1a)-(1l); see Rajan et al (2005), Ostrowski et al (2011, Tuffaha and Gravdahl (2013), Bendotti et al (2018). In this formulation, binary variables x i j represent whether or not generating unit i ∈ N = {1, .…”
Section: Standard Formulationsmentioning
confidence: 99%
“…In the UCP variant we consider in this paper, we seek to find a power generation schedule that minimizes the total operational cost subject to typical UCP constraints such as minimum up/down times, generation capacity, demand satisfaction, ramping requirements, and spinning reserve. The typical MIP formulation of this problem is given in (1a)-(1l); see Rajan et al (2005), Ostrowski et al (2011, Tuffaha and Gravdahl (2013), Bendotti et al (2018). In this formulation, binary variables x i j represent whether or not generating unit i ∈ N = {1, .…”
Section: Standard Formulationsmentioning
confidence: 99%
“…Most of the authors in the literature use two steps only (e.g., see [9], and [7]). Thus, building on previous work of the authors of this work [10], let the start-up cost be discretized into two steps only; hc j when x o f f j ≤ ND j /2, and cc j when x o f f j > ND j /2. Then, the start-up cost can be expressed as:…”
Section: Objective Functionmentioning
confidence: 99%
“…The shutdown cost is associated with the gradual reduction of the thermal unit from the nominal minimum power to the actual stop of the unit. Generally, shut-down costs are much smaller than start-up costs; hence several works have neglected them (Tuffaha and Gravdahl, 2013;Wood and Wollenberg, 2012). The decision vector involved in the UC problem comprises the status and the output of each unit (Wood and Wollenberg, 2012).…”
Section: Introductionmentioning
confidence: 99%