Characteristics and Advantages of a State-Space Orientated Calculation in Regenerative Energy Systems

Abstract

In this paper, a state-space approach is presented as an alternative to conventional load flow simulations, which combines the advantages of robustness and speed of conventional approaches such as the current iteration method and the Newton-Raphson method. Additionally, the methodology is able to deliver a transparent system description of minimal rank. Therefore and because of the symbolic formulation of the system matrices, multiply fed regenerative energy systems can efficiently be calculated and optimized. In contrast to classical iterative simulation procedures the method delivers directly a mathematical solution of the load flow problem. In the paper, first the functional characteristics of the current iteration method and the Newton-Raphson method are explained, as well as their properties are analysed. Subsequently, the calculation principles of the state-space-based load flow calculations are derived and the behaviour of the state-space methodology is described.