ABSTRACT

This chapter presents each power plant generator with two or more states that the generator is passing through. To combine the generators, a special type of mathematics needed and illustrated. The chapter deals with the basic definitions and properties of the Kronecker product of matrices. The Kronecker technique is presented and applied to the power plant, where it is forming a power station. It is often hard to derive an overall formula for the whole system from the equations describing the subsystems. The chapter discusses two different methods: direct differentiation and the use of the Kronecker product. Both methods are used to obtain the equivalent transition matrix, which a mathematical representation of a power station. The chapter shows that two, three, and four identical power generators are connected to find out the steady-state probabilities of the connected generators to be connected.