Title
Mathematical decomposition technique applied to the probabilistic power flow problem
Date Issued
31 May 2011
Access level
metadata only access
Resource Type
conference paper
Author(s)
Universidad Estadual Paulista
Abstract
In this paper a framework based on the decomposition of the first-order optimality conditions is described and applied to solve the Probabilistic Power Flow (PPF) problem in a coordinated but decentralized way in the context of multi-area power systems. The purpose of the decomposition framework is to solve the problem through a process of solving smaller subproblems, associated with each area of the power system, iteratively. This strategy allows the probabilistic analysis of the variables of interest, in a particular area, without explicit knowledge of network data of the other interconnected areas, being only necessary to exchange border information related to the tie-lines between areas. An efficient method for probabilistic analysis, considering uncertainty in n system loads, is applied. The proposal is to use a particular case of the point estimate method, known as Two-Point Estimate Method (TPM), rather than the traditional approach based on Monte Carlo simulation. The main feature of the TPM is that it only requires resolve 2n power flows for to obtain the behavior of any random variable. An iterative coordination algorithm between areas is also presented. This algorithm solves the Multi-Area PPF problem in a decentralized way, ensures the independent operation of each area and integrates the decomposition framework and the TPM appropriately. The IEEE RTS-96 system is used in order to show the operation and effectiveness of the proposed approach and the Monte Carlo simulations are used to validation of the results. © 2011 IEEE.
Start page
139
End page
146
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Estadísticas, Probabilidad
Subjects
Scopus EID
2-s2.0-79957560508
Resource of which it is part
2010 IEEE/PES Transmission and Distribution Conference and Exposition: Latin America, T and D-LA 2010
ISBN of the container
978-145770487-1
Conference
2010 IEEE/PES Transmission and Distribution Conference and Exposition: Latin America, T and D-LA 2010
Sources of information:
Directorio de Producción Científica
Scopus