An Electricity Market With a Probabilistic Spinning Reserve Criterion

Bouffard, François; Galiana, F.D.

doi:10.1109/tpwrs.2003.818587

Cited by 222 publications

(179 citation statements)

References 7 publications

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“…However effect of response time of the offered reserves from generating units was not dealt properly. A hybrid deterministic -probabilistic approach to reliability constrained market clearing with unit commitment was used considering loss of load probability and expected load not served as upper bound criteria for reserve calculation [16]. However it was only a single-period market-clearing model and multi period model is required with simplification in hybrid metrics formation.…”

Section: Issues Related To Allocation Of Reserves In System With Signmentioning

confidence: 99%

Development of a Cost Effective Power Generation System: An Overview

Bihari

Kumari

Sehgal

et al. 2016

IJEEI

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Section: Issues Related To Allocation Of Reserves In System With Signmentioning

confidence: 99%

Development of a Cost Effective Power Generation System: An Overview

Bihari

Kumari

Sehgal

et al. 2016

IJEEI

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“…To circumvent the above difficulties, [16] and [17] include the risk index into the UC formulation as a continuous variable such that its mathematical form is compatible with the mixed integer linear programming (MILP) algorithm. This methodology was only applied for a single period of network-free single area power system.…”

Section: B Literature Review and Contributionmentioning

confidence: 99%

“…This methodology was only applied for a single period of network-free single area power system. We follow the idea of [16] in integrating the reliability metrics into the proposed market-clearing formulation to deal with the essential issues of multi-control zone power system.…”

Section: B Literature Review and Contributionmentioning

confidence: 99%

Probabilistic Spinning Reserve Provision Model in Multi-Control Zone Power System

Ahmadi-Khatir

Bozorg

Cherkaoui

2013

IEEE Trans. Power Syst.

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Abstract-Inter-zonal trading in multi-area power system (MAPS) improves the market efficiency and the system reliability by sharing the resources (energy and reserve services) across zonal boundaries. Actually, each area can operate with less reserve resources than would normally be required for isolated operation. The aim of this work is to propose a model that includes the problem of optimal spinning reserve (SR) provision into the security constraint unit commitment (SCUC) formulation based on the reliability criteria for a MAPS. The loss of load probability (LOLP) and the expected load not served (ELNS) are evaluated as probabilistic metrics in the case of a multi-control zone power system. Moreover, we demonstrate how these criteria can be explicitly incorporated into the market-clearing formulation. The non-coincidental nature of spinning reserve requirement across the zonal boundary is effectively modeled. Two system cases including a small-scale (six-bus) test system and the IEEE reliability test system (IEEE-RTS) are used to demonstrate the effectiveness of the presented model. Index Terms-Multi-control zone, probabilistic approach, reliability metrics, spinning reserve, unit commitment.

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“…• Mathematical model and numerical methodology Bouffard and Galiana (2004) and Arroyo and Galiana (2005) propose a deterministic modeling framework, Bouffard and Galiana (2008) and Bouffard et al (2005b) develop a two-stage stochastic programming model, Pozo and Contreras (2013) consider a chanceconstrained problem, and Street et al (2011) Bertsimas et al (2013 present a robust optimization formulation. Most of these models are solved through their deterministic counterparts and further as mixed integer programming (MILP for short).…”

Section: Introductionmentioning

confidence: 99%

Robust unit commitment with $$n-1$$ n - 1 security criteria

Gourtani

Pozo

et al. 2016

Math Meth Oper Res

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The short-term unit commitment and reserve scheduling decisions are made in the face of increasing supply-side uncertainty in power systems. This has mainly been caused by a higher penetration of renewable energy generation that is encouraged and enforced by the market and policy makers. In this paper, we propose a two-stage stochastic and distributionally robust modeling framework for the unit commitment problem with supply uncertainty. Based on the availability of the information on the distribution of the random supply, we consider two specific models: (a) a moment model where the mean values of the random supply variables are known, and (b) a mixture distribution model where the true probability distribution lies within the convex hull of a finite set of known distributions. In each case, we reformulate these models through Lagrange dualization as a semi-infinite program in the former case and a one-stage stochastic program in the latter case. We solve the reformulated models The research of this author is supported by EPSRC Grant EP/M003191/1. using sampling method and sample average approximation, respectively. We also establish exponential rate of convergence of the optimal value when the randomization scheme is applied to discretize the semi-infinite constraints. The proposed robust unit commitment models are applied to an illustrative case study, and numerical test results are reported in comparison with the two-stage non-robust stochastic programming model.

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An Electricity Market With a Probabilistic Spinning Reserve Criterion

Cited by 222 publications

References 7 publications

Development of a Cost Effective Power Generation System: An Overview

Development of a Cost Effective Power Generation System: An Overview

Probabilistic Spinning Reserve Provision Model in Multi-Control Zone Power System

Robust unit commitment with $$n-1$$ n - 1 security criteria

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