Study on the fuzzy AC power flow model

The method of fuzzy power flow analysis is extended from DC model to AC one, and the nonlinear, linear and multi-linear models are constructed to obtain the possibility distribution of load flow efficiently in accordance with the corresponding fuzzy sets theory including the λ - level set characteristic of fuzzy number operations and decompose theorem. Some technical problems, such as the solution for the nonlinear fuzzy power flow, the solution of possibility distribution for the linear fuzzy power flow and the selection of linearization point, et al., are studied further. The validity and effectiveness of the proposed models and methods have been demonstrated on the corresponding numerical results.