Application of Probability Methods to the Determination of Spinning Reserve Requirements for the Pennsylvania-New Jersey-Maryland Interconnection

Anstine, L. T.; Burke, Robert E.; Casey, John E.; Holgate, Richard; John, R. S.; Stewart, H. G.

doi:10.1109/tpas.1963.291390

Cited by 142 publications

(88 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The first group, the so-called reserve adjustment method, is widely used in today's power industry. Much of research along this vein, including [1]- [4], has focused on analyzing the levels of reserve requirements based on deterministic criteria, such as loss of the largest generator or system import change. Such an approach is easy to implement in practice.…”

mentioning

confidence: 99%

Adaptive Robust Optimization for the Security Constrained Unit Commitment Problem

Bertsimas

Litvinov²,

Sun

et al. 2013

IEEE Trans. Power Syst.

1,403

1,080

View full text Add to dashboard Cite

Abstract-Unit commitment, one of the most critical tasks in electric power system operations, faces new challenges as the supply and demand uncertainty increases dramatically due to the integration of variable generation resources such as wind power and price responsive demand. To meet these challenges, we propose a two-stage adaptive robust unit commitment model for the security constrained unit commitment problem in the presence of nodal net injection uncertainty. Compared to the conventional stochastic programming approach, the proposed model is more practical in that it only requires a deterministic uncertainty set, rather than a hard-to-obtain probability distribution on the uncertain data. The unit commitment solutions of the proposed model are robust against all possible realizations of the modeled uncertainty. We develop a practical solution methodology based on a combination of Benders decomposition type algorithm and the outer approximation technique. We present an extensive numerical study on the real-world large scale power system operated by the ISO New England. Computational results demonstrate the economic and operational advantages of our model over the traditional reserve adjustment approach.Index Terms-Bilevel mixed-integer optimization, power system control and reliability, robust and adaptive optimization, security constrained unit commitment.

show abstract

mentioning

confidence: 99%

Adaptive Robust Optimization for the Security Constrained Unit Commitment Problem

Bertsimas

Litvinov²,

Sun

et al. 2013

IEEE Trans. Power Syst.

1,403

1,080

View full text Add to dashboard Cite

show abstract

“…The idea behind using probabilistic criteria for spinning reserve provision is not entirely new [5]. Two methodologies designated respectively statistic-based (performing statistical analysis and without solving the optimization problem) and optimization-based (along with solving the optimization problem) can be employed in the probabilistic reserve provision.…”

Section: B Literature Review and Contributionmentioning

confidence: 99%

“…One of the first studies in which a optimization-based probabilistic technique was used for an implicit spinning reserve assessment is due to Guy [8]. He used the PJM method proposed in [5] for economic scheduling of generating units, based on the principle that it satisfies a predefined risk target. Later, several authors, e.g., [9]- [11] and [12], used an iterative approach to incorporate the risk criteria into the reserve provision problem.…”

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.

View full text Add to dashboard Cite

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.

show abstract

“…The first probabilistic approach to determine capacity of reserve was PJM method which was proposed in 1963 [2]. In PJM method, forced outage rate (FOR) of generation unit is considered in determination of reserve capacity requirement.…”

Section: Introductionmentioning

confidence: 99%

Reserve Management in Restructured Power System Considering Loads Reliability

Zolfaghari¹,

Hashemi²,

Zolfaghari³

2017

EJERS

View full text Add to dashboard Cite

Determining the spinning reserve capacity is amongst the most important tasks of system operator to insure safe and reliable operation of power system. So far, various methods are proposed to determine reserve capacity which are based on deterministic or probabilistic criteria. Due to considering the stochastic nature of system events, probabilistic approaches are more preferable in comparison to deterministic approaches. In practice, the value of interrupted loads are not the same for all consumers and some of them like industrial ones have higher value of lost load (VOLL). Thus, consumes with higher values of lost load are willing to pay more in order to gain higher reliability levels than consumers with less VOLL. In other words, they are more concerned with their individual load point reliability. In this paper a new method is presented to optimally determine the system spinning reserve requirement in a competitive simultaneous energy and reserve market render based on cost-benefit analysis and stochastic programming technique is proposed considering different values of lost load at each bus. Including units and lines outages and their corresponding likelihoods in the objective function, regard for loading rate of the generators constraints and transmission flow constraints are the advantages of the proposed method. Simulations performed on the 14-bus IEEE test system demonstrate effectiveness of the presented approach.

show abstract

Application of Probability Methods to the Determination of Spinning Reserve Requirements for the Pennsylvania-New Jersey-Maryland Interconnection

Cited by 142 publications

References 3 publications

Adaptive Robust Optimization for the Security Constrained Unit Commitment Problem

Adaptive Robust Optimization for the Security Constrained Unit Commitment Problem

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

Reserve Management in Restructured Power System Considering Loads Reliability

Contact Info

Product

Resources

About