The analytical methods are proper for linearised LF formulation and random output variables are gained by convolution computation. Three types of methods can be used to solve PLF problem, namely, analytical method, point estimate method (PEM) and Monte Carlo simulation method (MCSM). Probabilistic load flow (PLF) methods can deal with the uncertainties in power systems. For their inherent uncertainties, intermittences and fluctuations, the LF problem becomes more complex, and the traditional deterministic LF method cannot deal with it. In recent years, renewable energy sources including wind energy and solar energy are connected into power systems. The target of LF computation is to obtain the power flow distribution and the nodes voltages in a power system. Load flow (LF) computation is the basis of the analysis, planning and operation in modern power systems. The simulation results verify the outstanding accuracy, efficiency and robustness of the proposed PLF method.
MATLAB LATIN HYPERCUBE SAMPLING GUMBEL DISTRIBUTION VERIFICATION
A modified IEEE 33-node distribution system is used to conduct the numerical experiments for the accuracy and efficiency verification of the proposed PLF method, under the MatlabR2016a platform. An improved Latin hypercube sampling based Monte Carlo simulation method is utilised to solve PLF problems. For marginal distributions of wind speed, non-parametric model can provide a better estimation than those parametric models. Vine copula is flexible to build high-dimensional dependence and able to construct complicated dependence structure by applying bivariate copulas. However, when high-dimensional correlation is taken into account, standard multivariate copula suffers from the problems of inflexible structure. Copula theory plays an important role on dependency modelling. allow random variables to comply with any types of distribution model. Furthermore, this method is not restricted by the type of wind speed distribution, i.e. In this study, a D-vine copulas modelling based probabilistic load flow (PLF) computation method is proposed, which considers the dependence among multiple wind generators. IET Generation, Transmission & Distribution.
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