Modeling the primary reserve allocation in preventive and curative security constrained OPF

Karoui, Karim; Crisciu, H.; Platbrood, L.

doi:10.1109/tdc.2010.5484240

Cited by 11 publications

(13 citation statements)

References 10 publications

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“…In fact, as mentioned in [38], the primary frequency control is usually less studied than the other frequency controls in the literature. And yet, Karoui et al [39] presents the modeling of the primary reserve allocation in the corrective SCOPF problem. However, the paper uses a centralized approach (i.e.…”

Section: Related Workmentioning

confidence: 99%

Fully distributed security constrained optimal power flow with primary frequency control

Velay

Vinyals

Bésanger

et al. 2019

International Journal of Electrical Power & Energy Systems

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Primary frequency control is the automatic mechanism implemented on power systems to regulate the power balance through frequency and hence, its action should be taken into account when modeling any contingency state leading to a modification of the active power balance (e.g. generator failures). This paper presents a fully distributed method to solve the DC security constrained power flow (DC-SCOPF) that takes into account the automatic primary frequency response of generators after an incident. In more detail, we extend existing distributed DC-SCOPF formulations by: (1) introducing a new variable representing the frequency deviation; and (2) enhancing the local problem of each generator to consider how it adjusts its production after each contingency following its primary frequency regulation curve. The computation of the frequency deviations in the DC-SCOPF problem is formulated into a suitable form (i.e. in the form of a general consensus problem) so that smaller problems, corresponding to individual sub-regions or actors, can be solved and coordinated via the alternating direction method of multipliers (ADMM) in a distributed manner. In this way, actors of the system do not need to exchange any confidential information with other actors during the optimization procedure. A salient feature of our approach is that it can consider contingencies that lead to area separation without any prior specification of the topology and thus can adapt to many kinds of situations that are of interest in interconnected systems. Extensive simulation results on several standard IEEE systems show the good performance of the proposed model and algorithm in terms of convergence speed and accuracy as well as its capacity to deal with the disconnection of areas in interconnected systems.

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Section: Related Workmentioning

confidence: 99%

Fully distributed security constrained optimal power flow with primary frequency control

Velay

Vinyals

Bésanger

et al. 2019

International Journal of Electrical Power & Energy Systems

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show abstract

“…Equations (29)-(31) constrain voltages and branch flows to be within short-term emergency ratings in the contingency states. This is an expanded version of the usual compact formulation given in the literature [11], with the exception of (28) which is adapted from [22].…”

Section: ) DC Psc Otsmentioning

confidence: 99%

“…The causes of each failure are indicated [20][21][22][23] between parentheses: (R) stands for "random outage", (HF) stands for "hidden failure", and (OL) stands for "overload". In all cases, a major contributor to the risk is the loss of the overloaded line 14-16 after the random outage of line [16][17][18][19].…”

Section: A One-area Rtsmentioning

confidence: 99%

Probabilistic Security Analysis of Optimal Transmission Switching

Henneaux

Kirschen

2016

IEEE Trans. Power Syst.

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Optimal transmission switching (OTS) optimizes simultaneously the generation dispatch and the topology of a power system. It has been shown that taking some transmission lines out of service can significantly reduce the operating cost of the system while respecting the traditional deterministic security criterion of operational reliability. However, topology modifications could adversely affect probabilistic security metrics. The operational reliability of a power system can be translated into a cost by multiplying the expected energy not served by the value of lost load. This paper therefore explores whether it is possible to maintain a positive economic balance with OTS when considering not only the cost of generation but also the expected socio-economic cost of disruptions in the supply. This is done in two steps: the computation of an secure OTS and then the calculation of a probabilistic estimate of the operational reliability of the OTS solution. Based on the results obtained with two test systems, it is shown that OTS tends to significantly degrade probabilistic measures of security. It is thus not obvious that OTS can lead to a positive economic balance, even when security is enforced. Consequently, a probabilistic security analysis should be performed before implementing an OTS solution.Index Terms-Operational reliability, power system economics, power system security, transmission switching, value of lost load.

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“…The primary response of generators is explicitly modeled in [88] for a unit commitment application and in [82,83], and [89] for SCOPF problems. In [82,83], and [88] variables that represent the frequency drop in each contingency state were used to generate linear approximations of primary response.…”

Section: An Exact and Scalable Problem Decomposition For Security-conmentioning

confidence: 99%

“…Even though the APR behavior is nonlinear, linear approximations are used in practice [98]. In [69,82,83,88,89], the APR is modeled by a single variable representing frequency drop (or power loss) for each contingency state and by a participation factor for each generator.…”

Section: Contextualization and Related Workmentioning

confidence: 99%

Essays on Two-Stage Robust Models for Power Systems: Modeling Contributions and Applications of the Column-and-Constraint-Generation Algorithm

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Modeling the primary reserve allocation in preventive and curative security constrained OPF

Cited by 11 publications

References 10 publications

Fully distributed security constrained optimal power flow with primary frequency control

Fully distributed security constrained optimal power flow with primary frequency control

Probabilistic Security Analysis of Optimal Transmission Switching

Essays on Two-Stage Robust Models for Power Systems: Modeling Contributions and Applications of the Column-and-Constraint-Generation Algorithm

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