Rain-Flow-Cycle Distribution for Ergodic Load Processes

Abstract

The Rain-Flow-Cycle (RFC) amplitude in an ergodic load process is studied. The ergodic distribution of the RFC-amplitude is defined using the sequence of extremes in the load process. In the special case when the sequence of extremes is an n-step Markov chain, the RFC-distribution is obtained as the solution of a certain functional equation. For a Gaussian load, approximations of the RFC-distribution are proposed, and the transition densities of extremes are approximated using the regression method.