Computation of steady state nodal voltages for fast security assessment in power systems

Moller, Jakob Glarbo; Jóhannsson, Hjörtur; Østergaard, Jacob

doi:10.1109/pq.2014.6866783

Cited by 2 publications

(4 citation statements)

References 18 publications

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“…The method of obtaining post-contingency nodal voltages on basis of Thevenin equivalent representation was demonstrated in [1] where solutions for post-contingency steady-states were found to be in good agreement with time-domain simulations. The procedure is stated in algorithm 1 for quick reference.…”

Section: B Assessment Algorithmmentioning

confidence: 97%

“…A power system solver based on Thevenin equivalent representations was previously demonstrated as a mean of static security assessment for the purpose of obtaining postcontingency steady-state nodal voltages [1]. This paper develops the Thevenin equivalent static contingency assessment (TESCA) with the purpose of evaluating aperiodic small signal stability following a contingency.…”

Section: Introductionmentioning

confidence: 99%

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Thevenin equivalent method for dynamic contingency assessment

Moller

Jóhannsson

Østergaard

2015

2015 IEEE Power &Amp; Energy Society General Meeting

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Abstract-A method that exploits Thevenin equivalent representation for obtaining post-contingency steady-state nodal voltages is integrated with a method of detecting post-contingency aperiodic small-signal instability. The task of integrating stability assessment with contingency assessment is challenged by the cases of unstable post-contingency conditions. For unstable postcontingency conditions there exists no credible steady-state which can be used for basis of a stability assessment. This paper demonstrates how Thevenin Equivalent methods can be applied in algebraic representation of such bifurcation points which may be used in assessment of post-contingency aperiodic small-signal stability. The assessment method is introduced with a numeric example.

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Section: B Assessment Algorithmmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Thevenin equivalent method for dynamic contingency assessment

Moller

Jóhannsson

Østergaard

2015

2015 IEEE Power &Amp; Energy Society General Meeting

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“…Re-using computations and vectorisation of for-loops leads to a revised expression for the GTC-matrix: (2). For the sake of generality loads are represented by a current source cs injecting a current of arbitrary direction in the network.…”

Section: Schur's Complement and Thévenin Equivalentsmentioning

confidence: 99%

“…It is intended for analyzing contingencies in an online security assessment based on a steady-state hypothesis from a state estimator. Profiling the method has revealed that computation of Thévenin equivalents takes a significant share of the time spent by the algorithm [2]. This directed the author's attention towards efficient algorithms for Thévenin equivalent computations.…”

Section: Introductionmentioning

confidence: 99%

Super-Positioning of Voltage Sources for Fast Assessment of Wide-Area Thévenin Equivalents

Moller

Jóhannsson

Østergaard

2017

IEEE Trans. Smart Grid

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Abstract-A method for superimposing voltage sources is sought optimized by using a sparse triangular solver and multiprocessing. A revision to the method is suggested which exploits Schur's complement of the network admittance matrix and optimal re-use of computations. The algorithm is implemented and parallelized for shared memory multiprocessing. The proposed algorithm is tested on a collection of large test systems and performance is found to be significantly better than the reference method. The algorithm will thereby facilitate a speed-up of methods relying on Thévenin Equivalent representation such as the Thévenin equivalent method for contingency assessment.

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Computation of steady state nodal voltages for fast security assessment in power systems

Cited by 2 publications

References 18 publications

Thevenin equivalent method for dynamic contingency assessment

Thevenin equivalent method for dynamic contingency assessment

Super-Positioning of Voltage Sources for Fast Assessment of Wide-Area Thévenin Equivalents

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