A Stochastic Optimal Power Flow Problem With Stability Constraints—Part II: The Optimization Problem

Perninge, Magnus; Hamon, Camille

doi:10.1109/tpwrs.2012.2226761

Cited by 42 publications

(30 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, such expressions do not exist. In [6], it was proposed that each smooth part Σ ij of the stability boundaries be approximated by a second-order approximation Σ a ij . These second-order approximations were presented first in [17] and later developed in [18]- [20].…”

Section: Chance-constrained Optimal Power Flowsmentioning

confidence: 99%

“…New re-dispatch algorithms which account for the probability distribution of the uncertainty, such as future levels of wind power production and load, have recently been devised [4]- [6]. They belong to the class of chance-constrained optimization problems, which are optimization problems with probabilistic constraints.…”

Section: Introductionmentioning

confidence: 99%

“…In [5], a CCOPF formulation is given that minimizes production costs, while ensuring that the probability that the flows on certain lines exceed the transfer limits is less than a defined level. In [6], the CCOPF formulation minimizes production costs while ensuring that the probability of system failure does not exceed a specified level. Voltage stability, small-signal stability and operational limits are considered.…”

Section: Introductionmentioning

confidence: 99%

“…In [5], the power transfers are linearized to become linear functions of the uncertain parameters, and the probabilistic constraints are back-mapped to the uncertain parameter space using these linear functions. In [6], CornishFisher expansions are also used to approximate the probability of system failure.…”

Section: Introductionmentioning

confidence: 99%

“…Instead, beta and hyperbolic distributions seem appropriate [7], [8]. In [9], the same CCOPF formulation as in [6] is used, but the solution method is extended in order to account for non-Gaussian distributions. The new method uses Edgeworth expansions instead of Cornish-Fisher expansions.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

The value of using chance-constrained optimal power flows for generation re-dispatch under uncertainty with detailed security constraints

Hamon

Perninge

Söder

2013

2013 IEEE PES Asia-Pacific Power and Energy Engineering Conference (APPEEC)

Self Cite

View full text Add to dashboard Cite

Abstract-The uncertainty faced in the operation of power systems increases as larger amounts of intermittent sources, such as wind and solar power, are being installed. Traditionally, an optimal generation re-dispatch is obtained by solving securityconstrained optimal power flows (SCOPF). The resulting system operation is then optimal for given values of the uncertain parameters. New methods have been developed to consider the uncertainty directly in the generation re-dispatch optimization problem. Chance-constrained optimal power flows (CCOPF) are such methods.In this paper, SCOPF and CCOPF are compared and the benefits of using CCOPF for power systems operation under uncertainty are discussed. The discussion is illustrated by a case study in the IEEE 39 bus system, in which the generation redispatch obtained by CCOPF is shown to always be cheaper than that obtained by SCOPF.

show abstract

Section: Chance-constrained Optimal Power Flowsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The value of using chance-constrained optimal power flows for generation re-dispatch under uncertainty with detailed security constraints

Hamon

Perninge

Söder

2013

2013 IEEE PES Asia-Pacific Power and Energy Engineering Conference (APPEEC)

Self Cite

View full text Add to dashboard Cite

show abstract

Algorithms for OptimalACPower Flow in the Presence of Renewable Sources

Chamanbaz

Dabbene

Lagoa

2019

Wiley Encyclopedia of Electrical and Electronics Engineering

View full text Add to dashboard Cite

This chapter presents recent solutions to the optimal power flow (OPF) problem in the presence of renewable energy sources (RES), such as solar photo-voltaic and wind generation. After introducing the original formulation of the problem, arising from the combination of economic dispatch and power flow, we provide a brief overview of the different solution methods proposed in the literature to solve it. Then, we explain the main difficulties arising from the increasing RES penetration, and the ensuing necessity of deriving robust solutions. Finally, we present the state-of-the-art techniques, with a special focus on recent methods we developed, based on the application on randomization-based methodologies.

show abstract

A risk-aware generation dispatch including wind power for a power grid subjected to hurricanes

Javanbakht

Mohagheghi

2014

Int. Trans. Electr. Energ. Syst.

View full text Add to dashboard Cite

SUMMARYA multi-area risk-aware generation dispatch algorithm is proposed in this paper based on contingencyconstrained AC optimal power flow for a power grid subject to imminent large-scale hurricanes. The proposed solution enables both preventive and corrective operation modes. A geospatial model is developed, which allows for the computation of correlated outage probabilities of transmission lines and wind farms due to the wind fields of hurricanes. The proposed algorithm minimizes the operational cost of the power grid as well as the expected risks of overload and over/undervoltage events subject to different contingency scenarios. To maintain a realistic case study, historical data on the past hurricanes in the USA have been used for geo-statistical analysis. In addition, the IEEE 118-bus test power system has been mapped onto the map of the state of Texas and has been used as the test bed.

show abstract

A Stochastic Optimal Power Flow Problem With Stability Constraints—Part II: The Optimization Problem

Cited by 42 publications

References 20 publications

The value of using chance-constrained optimal power flows for generation re-dispatch under uncertainty with detailed security constraints

The value of using chance-constrained optimal power flows for generation re-dispatch under uncertainty with detailed security constraints

Algorithms for OptimalACPower Flow in the Presence of Renewable Sources

A risk-aware generation dispatch including wind power for a power grid subjected to hurricanes

Contact Info

Product

Resources

About