Open AccessUncertain flow calculations of a distribution network containing DG based on blind number theory
Author(s) -
Wu Hongbin,
Xu Jiehong,
Ji Yu,
Wu Ming
Publication year - 2017
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2016.1530
Subject(s) - cholesky decomposition , wind power , photovoltaic system , mathematical optimization , interval (graph theory) , computer science , power (physics) , wind speed , control theory (sociology) , mathematics , reliability engineering , electrical engineering , engineering , artificial intelligence , meteorology , eigenvalues and eigenvectors , physics , control (management) , quantum mechanics , combinatorics
A large number of distributed generations (DG) integrated into a distribution network challenge the planning for traditional power systems making traditional deterministic power flow calculations not applicable. Based on the interval and credibility of the blind number theory, this study is about the uncertainty of DG and the correlation between DGs. The interval models for wind power and solar power are established based on the characteristics of the wind power generator output and the photovoltaic cell output. The improved analytic hierarchy process is applied to determine the credibility of the intervals. The blind number theory and Cholesky decomposition are applied to study the correlation between wind speed and light intensity. According to the result of the power flow calculation with uncertainty, the voltage operational quality index is proposed to measure the impact of the DG. Through a modified IEEE 33‐bus system, the feasibility and effectiveness of the blind number model for the DG and the necessity of considering the correlation between wind speed and light intensity are verified.