Journal ArticleDOI
Probabilistic Methods For Power System Dynamic Stability Studies
R. C. Burchett,Gerald T. Heydt +1 more
TLDR
In this paper, several sources of uncertainty in electric power systems are incorporated into the dynamic stability analysis of the system, with the system model written in state variable notation, and the sensitivites of the eigenvalues of the associate matrix are used to calculate the statistics of eigenvalue locations.Abstract:
In this paper, several sources of uncertainty in electric power systems are incorporated into the dynamic stability analysis of the system. Operating point stability is considered, with the system model written in state variable notation. The sensitivites of the eigenvalues of the associate matrix are used to calculate the statistics of eigenvalue locations. When the uncertainties considered are approximated by the multivariate normal distribution, the probability of dynamic stability is computed using the generalized tetrachoric series. The principle advantages of this method over multiple runs of a deterministic stability study are rapid calculation times and the availability of consistently calculated probability of operating point stability figures.read more
Citations
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Journal ArticleDOI
Probabilistic Analysis of Small-Signal Stability of Large-Scale Power Systems as Affected by Penetration of Wind Generation
TL;DR: In this paper, the impact of grid-connected wind power generation on power system small-signal stability has been investigated and the results of probabilistic stability analysis of the example power system are confirmed by the Monte Carlo simulation.
Journal ArticleDOI
Expected Energy Production Costs by the Method of Moments
TL;DR: A new method of calculating the expected energy generation in a generating system by probabilistic simulation that can simulate the loading of units to equal marginal cost levels in an economic dispatch mode as well as the partial loadings caused by deratings.
Journal ArticleDOI
Assessment and Enhancement of Small Signal Stability Considering Uncertainties
TL;DR: In this article, a probabilistic small signal stability assessment (PSSSA) methodology based on the application of Monte Carlo approach for iterative evaluation, via modal analysis of Small Signal Stability (SSS), is proposed.
Journal ArticleDOI
Quasi-Monte Carlo Based Probabilistic Small Signal Stability Analysis for Power Systems With Plug-In Electric Vehicle and Wind Power Integration
TL;DR: In this article, a new quasi-Monte Carlo (QMC) based probabilistic small signal stability analysis (PSSSA) method was proposed to assess the dynamic effects of plug-in electric vehicles (PEVs) and wind energy conversion systems (WECSs) in power systems.
Journal ArticleDOI
A Probabilistic Index for Transient Stability
Roy Billinton,P.R.S. Kuruganty +1 more
TL;DR: In this paper, a stability index based on the probabilistic nature of the transmission system is developed and examined for sensitivity to selected system parameters, which is used for transient stability evaluation.
References
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Book
Stochastic differential equations
TL;DR: In this article, the authors introduce the notion of a stochastic differential equation and prove general theorems concerning the existence and uniqueness of solutions of these equations, which is a generalization of the notions of integral integral integral functions.
Journal ArticleDOI
A survey of stability of stochastic systems
TL;DR: The main purpose of this manuscript is to give some understanding of the subject of stability of stochastic systems by presenting some of the basic ideas as well as a survey of results that have appeared in the literature.
Journal ArticleDOI
Computer representation of excitation systems
TL;DR: This paper suggests a common nomenclature and control system representation of the various excitation systems now available that can be used to define input data requirements for computer programs, and can provide a consistent format in which manufacturers can respond to requests for excitation system data to be used for system studies.
Journal ArticleDOI
Stochastic load flows
TL;DR: A method for calculating the effect of the propagation of data inaccuracies through the load flow calculations, thus obtaining a range of values for each output quantity that encloses the operating conditions of the system.
Journal ArticleDOI
Dynamic Stability Calculations for an Arbitrary Number of Interconnected Synchronous Machines
TL;DR: In this paper, the authors describe the small signal performance of a multi-machine synchronous power system by a set of differential equations of the form [x] = [A] [x], allowing standard multivariable control theory to be used in dynamic stability studies.