A NEW MATHEMATICAL APPROACH TO MULTIAREA POWER-SYSTEM RELIABILITY EVALUATION

In the original interconnected system reliability model the system sta te space consists of a set of all n-tuples X = (x(1), x(2),..., x(l), x(l+1),...,x(n)) where x(1), x(2), x(3),...,x(l) are generation capaci ties and x(l+1),...,x(n) are intertie capacities. Corresponding to eac h load state i we have state space S-i. For each S-i there exists a ma p F-i:S-i-->R. For each i, S-i is then decomposed into sets of accepta ble states A(k)s and sets of unacceptable states B(l)s. Each B-l is th en classified accordingly as it is a loss of load in a particular area or not. Then the appropriate reliability indices are calculated. In t his approach the maximal Bow function is viewed as a map F:boolean OR( i)S(i)-->R. It is shown that F is a piecewise linear function. It is a lso shown that there is a one-one correspondence between B sets with s ame area loss of load to each of the linear functions. A useful result which aids in the reduction of computational time of frequency calcul ation of loss of load is then derived.