Dynamic Security Dispatch: Basic Formulation

Chandrashekhar,; Hill,

doi:10.1109/mper.1983.5518953

Cited by 2 publications

(5 citation statements)

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“…To derive the formulas for evaluating gradient of the stability performance index with respect to , Lagrange multiplier vectors and are introduced to construct a new functional as follows [25]: (13) where , which emphasizes that at time , is a function of state variable . Considering (1) and (2), it is easy to see that the following holds true: (14) Using the formula of integration by parts, the following can be derived:…”

Section: Appendix a Sensitivity Formulation For The Stability Performmentioning

confidence: 99%

“…In [13], the most severe contingency is recursively dealt with until all contingencies become stable. System security constraints have been gradually incorporated in studies of economic dispatch [14], [15], optimal power flow [16]- [20], and optimal operation [21]. Reference [14] presents a dynamic optimal dispatch method considering both economy and security of system operations.…”

Section: Introductionmentioning

confidence: 99%

“…System security constraints have been gradually incorporated in studies of economic dispatch [14], [15], optimal power flow [16]- [20], and optimal operation [21]. Reference [14] presents a dynamic optimal dispatch method considering both economy and security of system operations. Transient stability constraints and some practical requirements of system dynamic behavior, such as the transient voltage constraint and steady-state thermal limit, are considered in these optimization problems.…”

Section: Introductionmentioning

confidence: 99%

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An Optimal Generation Rescheduling Approach for Transient Stability Enhancement

Fang

Yang

Jingqiang

et al. 2007

IEEE Trans. Power Syst.

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This paper presents a new generation rescheduling approach for preventive control of power systems, which can optimally reallocate power generations for multiple unstable contingencies. The transient stability constraints used in the optimal rescheduling model are described by a heuristic stability performance index. A backward integration technique is proposed to evaluate gradient of the performance index. Using the gradient, the functional inequality constraints imposed by unstable contingencies are expressed by linear inequalities, and the rescheduling problem is solved iteratively. Effectiveness of the approach is demonstrated by numerical tests on a representation of North-China power system. Index Terms-Optimal control, power generation control, power system security, power system transient stability.

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Section: Appendix a Sensitivity Formulation For The Stability Performmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An Optimal Generation Rescheduling Approach for Transient Stability Enhancement

Fang

Yang

Jingqiang

et al. 2007

IEEE Trans. Power Syst.

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“…Besides, y in (4) is a variable while in (3) it is an exogenously defined Downloaded by [University of Chicago Library] at 12:06 26 December 2014 parameter. In general, it is very difficult to find a numerical solution for a bi-level optimization problem because bi-level problems are of combinatorial nature [7]. Fortunately, the lower-level optimization problem (20) in (4) has a very simple structure that can be exploited.…”

Section: A Direct Search Algorithm For Rotor Angle Limit Y; Problem (4)mentioning

confidence: 99%

“…In general, the stability boundary of a smooth dynamic system is composed of trajectories [5,6], which are very difficult to find. To overcome this difficulty, several alternative solution concepts have been suggested in [3,4,[7][8][9][10][11][12][13][14][15][16], and the references cited therein.…”

Section: Introductionmentioning

confidence: 99%

Enhancements to Stability Constrained OPF to Overcome Sub-optimality

Gan

Chattopadhyay²,

Luo³

2005

Electric Power Components and Systems

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This article revisits the stability constrained optimal power flow (SOPF) model originally developed by the authors. One of the limitations of the SOPF model is that the representation of angular stability rests on assumptions that can lead to a suboptimal dispatch outcome. The present research enhances the SOPF model to improve upon the quality of the solution. This article demonstrates that the feasible set of a stability-constrained optimal power flow problem can be open and hence the optimal solution may not exist. The article then reviews a step-by-step integration (SBSI) based approach which has the limitation of yielding sub-optimal solutions. A primary objective of the present research is to introduce two algorithms that can be used to find an improved solution, starting with a sub-optimal solution. Finally, the article also discusses several implementation issues including the concepts for dealing with multiple contingencies. Numerical examples are presented to illustrate the methodological aspects.

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Dynamic Security Dispatch: Basic Formulation

Cited by 2 publications

References 0 publications

An Optimal Generation Rescheduling Approach for Transient Stability Enhancement

An Optimal Generation Rescheduling Approach for Transient Stability Enhancement

Enhancements to Stability Constrained OPF to Overcome Sub-optimality

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