Generating Capacity Reliability Evaluation in Interconnected Systems using a Frequency and Duration Approach Part I. Mathematical Analysis

Abstract
Equations for computing the frequency and duration of various capacity outages were first given by Halperin and Adler1. The application to the generation area was subsequently extended by the publication of a recent series of papers2-6 which presented a far more general approach to the problem. The general method is extremely powerful and can be applied to a wide range of problems7-9. This paper utilizes the basic concepts previously presented2,3 and extends them to develop a frequency and duration approach to interconnected system reliability evaluation. Equations are developed for one system connected to another system and are subsequently extended to the case of a system connected to two or more systems. The application of the theoretical technique is illustrated in Part II of this paper entitled "System Applications".