Sufficient conditions for power flow insolvability considering reactive power limited generators with applications to voltage stability margins

Molzahn, Daniel K.; Dawar, Vikas; Lesieutre, Bernard C.; DeMarco, Christopher L.

doi:10.1109/irep.2013.6629370

Cited by 22 publications

(14 citation statements)

References 35 publications

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“…Molzan, et.al. [16] provide a method to find sufficient conditions for this proof as well as a detailed overview of existing work towards proving power flow infeasibility.…”

Section: A Comparison Of the Proposed Aproach To A Standard Pf Toolmentioning

confidence: 99%

Robust Probabilistic Analysis of Transmission Power Systems based on Equivalent Circuit Formulation

agner

Pandey

Jereminov

et al. 2018

2018 IEEE International Conference on Probabilistic Methods Applied to Power Systems (PMAPS)

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Recent advances in steady-state analysis of power systems have introduced the equivalent split-circuit approach and corresponding continuation methods that can reliably find the correct physical solution of large-scale power system problems. The improvement in robustness provided by these developments are the basis for improvements in other fields of power system research. Probabilistic Power Flow studies are one of the areas of impact. This paper will describe a Simple Random Sampling Monte Carlo approach for probabilistic contingency analyses of transmission line power systems. The results are compared with those from Monte Carlo simulations using a standard power flow tool. Lastly, probabilistic contingency studies on two publicly available power system cases are presented.

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“…Molzan, et.al. [16] provide a method to find sufficient conditions for this proof as well as a detailed overview of existing work towards proving power flow infeasibility.…”

Section: A Comparison Of the Proposed Aproach To A Standard Pf Toolmentioning

confidence: 99%

Robust Probabilistic Analysis of Transmission Power Systems based on Equivalent Circuit Formulation

agner

Pandey

Jereminov

et al. 2018

2018 IEEE International Conference on Probabilistic Methods Applied to Power Systems (PMAPS)

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“…The complexity of this procedure is polynomial in the size of the system. In recent years mathematically similar procedures have been successfully applied in the context of optimal power flow approaches [49], [50], and more recently for power system security assessment purposes [51]. It has been shown in a number of papers, that even large scale systems admit fast analysis with SDP algorithms [52].…”

Section: B Robust Stabilitymentioning

confidence: 99%

Robust Stability Assessment in the Presence of Load Dynamics Uncertainty

Nguyen

Turitsyn

2016

IEEE Trans. Power Syst.

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Abstract-Dynamic response of loads has a significant effect on system stability and directly determines the stability margin of the operating point. Inherent uncertainty and natural variability of load models make the stability assessment especially difficult and may compromise the security of the system. We propose a novel mathematical "robust stability" criterion for the assessment of small-signal stability of operating points. Whenever the criterion is satisfied for a given operating point, it provides mathematical guarantees that the operating point will be stable with respect to small disturbances for any dynamic response of the loads. The criterion can be naturally used for identification of operating regions secure from the occurrence of Hopf bifurcation. Several possible applications of the criterion are discussed, most importantly the concept of Robust Stability Assessment (RSA) that could be integrated in dynamic security assessment packages and used in contingency screening and other planning and operational studies.

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“…Takashi et al (2006) have applied the concept of phantom generators with high fuel cost coefficients to identify and solve the infeasible OPF problems. Recently, Molzahn et al (2013) developed two sufficient conditions to analytically prove an insolvable power flow case as insolvable.…”

Section: Non-convergencementioning

confidence: 99%

Analysis of Infeasible Cases in Optimal Power Flow Problem

2016

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In the context of smart grid transformation of existing electricity networks, optimal power flow (OPF) and security-constrained OPF (SCOPF) studies remain to be very important for power system planning, operation and market analysis. OPF study involves finding the (global) optimum solution to a set of nonlinear algebraic equations, subjected to a set of equality and inequality constraints. When the system is heavily stressed, particularly following a severe contingency, the conventional OPF methods may fail due to the problem or solution infeasibility, or inability to select proper initial values. The soft constraint handling approach and repetitive constraint relaxation in finding the causes of infeasibility could be either tedious, or may not be practical for the large-scale problems. This paper presents an alternative approach, based on use of meta-heuristic method, to pinpoint the main reasons for the failure of solution algorithms in nonlinear optimization, in general, and OPF problem, in particular. The presented approach is illustrated on commonly used IEEE 14-bus and 30-bus test networks.

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Sufficient conditions for power flow insolvability considering reactive power limited generators with applications to voltage stability margins

Cited by 22 publications

References 35 publications

Robust Probabilistic Analysis of Transmission Power Systems based on Equivalent Circuit Formulation

Robust Probabilistic Analysis of Transmission Power Systems based on Equivalent Circuit Formulation

Robust Stability Assessment in the Presence of Load Dynamics Uncertainty

Analysis of Infeasible Cases in Optimal Power Flow Problem

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