SOLUTION OF PROBABILISTIC LOAD FLOW EQUATIONS USING COMBINATORICS

A method to solve stochastic equations of the type Ax = b has been proposed where b is a vector of random variables and A is a constant coefficient matrix. The purpose is to evaluate the random nature of the output variable x. Applications include general networks and power systems. For example, b can represent stochastic injections of currents into nodes with x being the vector of resulting node voltages. In the application to power systems which has been discussed in detail, b represents the statistical moments of stochastic power injection in nodes and x represents the moments of the probability distribution of voltages. © 1990.