On an exact decomposition method and multi-cyclic processes

In this paper a method for the exact decomposition of processes is presented. This method is applicable to processes with particular state diagrams consisting of two ore more partial state spaces, where adjacent partial state spaces are connected by only one state, respectively. Furthermore, an explicit solution is derived for a class of so-called multi-cyclic processes where the state diagramm contains several loops. This exact calculation method is also applicable to cascaded systems. With the aid of the decomposition method presented, the method is extended to composed systems.