Open AccessReactive power planning under high penetration of wind energy using Benders decomposition
Author(s) -
Fang Xin,
Li Fangxing,
Wei Yanli,
Azim Riyasat,
Xu Yan
Publication year - 2015
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.2014.1117
Subject(s) - ac power , wind power , mathematical optimization , stochastic programming , electricity generation , computer science , control theory (sociology) , reliability engineering , voltage , engineering , power (physics) , mathematics , electrical engineering , physics , control (management) , quantum mechanics , artificial intelligence
This study addresses the optimal allocation of reactive power volt‐ampere reactive (VAR) sources under the paradigm of high penetration of wind energy. Reactive power planning (RPP) in this particular condition involves a high level of uncertainty because of wind power characteristic. To properly model wind generation uncertainty, a multi‐scenario framework optimal power flow that considers the voltage stability constraint under the worst wind scenario and transmission N − 1 contingency is developed. The objective of RPP in this study is to minimise the total cost including the VAR investment cost and the expected generation cost. Therefore RPP under this condition is modelled as a two‐stage stochastic programming problem to optimise the VAR location and size in one stage, then to minimise the fuel cost in the other stage, and eventually, to find the global optimal RPP results iteratively. Benders decomposition is used to solve this model with an upper level problem (master problem) for VAR allocation optimisation and a lower problem (sub‐problem) for generation cost minimisation. Impact of the potential reactive power support from doubly‐fed induction generator (DFIG) is also analysed. Case studies on the IEEE 14‐bus and 118‐bus systems are provided to verify the proposed method.