A COMPARISON OF PROBABILISTIC POWER-FLOW WITH DETERMINISTIC BASED SOLUTIONS

A probabilistic formulation of power flow problem in which the number of equations is less than the number of the unknowns is discussed. The structure of the traditional Jacobian matrix encountered in conventio nal power flow is altered, and the resulting problem is one of a minim al least squares. A minimization technique using Crout's factorization and the Newton's method of successive approximation are proposed to o btain solutions. The probabilistic algorithm is applied to IEEE 14 and 37 bus systems, and computational results were obtained. The probabil istic power flow results are compared with a deterministic based stoch astic power flow solution for the 14 bus test system. The probabilisti c approach produces better results in terms of accuracy and computatio nal time when compared with the corresponding deterministic based solu tions.