Applying improved D-partitioning method to define parameters of generators in ship power system

Abstract

Determining the parameters of the elements of the ship electric power system in the limiting operation mode is carried out by constructing the boundaries of the system stability areas. To improve the efficiency of calculations of limiting modes, it is necessary to create mathematical models and methods that fully take account of the spe-cifics of equations that describe steady-state modes. There is proposed an improved D-partitioning method designed to select parameters that ensure stable parallel operation of the generators. The traditional method of D-partitioning is based on the assumption that usually the desired sets are a union of regions. In particular, this is the case for the linear systems with linear dependence on parameters. In this case, a problem of constructing the stability area can be reduced to a problem of determining the boundary of each area and indicating on which side of the boundary the points of the desired area lie. The main drawback of the D-partitioning method in the traditional formulation is that the range of values is obtained for both real and complex values of the variable parameter. There are considered the equations defining the D-partition curve for the case of linear dependence on one parameter of the coefficients of the characteristic polynomial. For the numerical solution of these equations there is proposed a method that, unlike the known methods, does not require cumbersome and poorly conditioned transformations of the characteristic polynomial.