A NEW MATHEMATICAL APPROACH TO MULTIAREA POWER-SYSTEM RELIABILITY EVALUATION
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abstract
In the original interconnected system reliability model the system state space consists of a set of all n-tuples X = (x1, x2,..., xl, xl+1,..., xn) where x1, x2, x3,..., xl are generation capacities and xl+1, ..., xn are intertie capacities. Corresponding to each load state i we have state space Si. For each Si there exists a map Fi:Si R. For each i, Si is then decomposed into sets of acceptable states Aks and sets of unacceptable states Bls. Each Bl is then classified accordingly as it is a loss of load in a particular area or not. Then the appropriate reliability indices are calculated. In this approach the maximal flow function is viewed as a map F: iSi R. It is shown that F is a piecewise linear function. It is also shown that there is a one-one correspondence between B sets with the same area loss of load to each of the linear functions. A useful result which aids in the reduction of computational time of frequency calculation of loss of load is then derived. 1994.
