STOCHASTIC MODEL OF THE LOAD SPECTRUM FOR MAIN ENGINES OF SEA-GOING SHIPS

The paper presents possibility of applying the theory of semi-Markov processes for probabilistic description of load spectrum for diesel engines employed for ship propulsion, so for main engines. The considerations include output power characteristics for this kind of engines. The characteristics have enabled formulating a four-member set of states of the process of load on the engines. The theory of semi-Markov processes has been applied for describing the real process of loads on the mentioned engines. This theory has made possible building a model of the engine loads in form of a continuous-time semi-Markov process with a four-state set of values. Properties of a Darboux continuous function, which allow considering the engine loads as the discrete-states and continuous-time processes, have been used to build the model. In consequence a limiting distribution of the occurring process of successive states of engine loads could be determined. The distribution is the probabilities of staying a sea-going ship main engine in successive states of load. The distribution is characterized by the spectrum of loads on this kind of engines. The presented model can be developed by taking into account many states of the process of main engines loading as the need is to make such a probabilistic description of the process that provides possibility of rational control of the operating process