State-space methods

Abstract

Besides nodal methods another very common and widely used family of modeling approaches is the one based on state-space representation. Simulations solvers and tools based on this approach typically implement what is normally referred as signal flow solution process, the most well known commercial tool of this type is Simulink® from MathWorks®. This type of solver has been widely used for the modeling of mechanical, thermal, and hydraulic systems but it was less successful in the modeling of electrical systems. First of all, explicit integration better fits signal flow solvers but at the same time explicit integration methods often are not suitable for the integration of electrical systems, especially if the interest is in using relatively large time steps. Moreover, those types of solvers - as state-space modeling approach in general - make the automatic creation of system level models by coupling of components models difficult and not always possible; this is extremely critical for large power systems composed of hundreds of components. At the same time, state-space modeling is also extremely important as modeling method for control engineering independently of its use for simulation purposes. In this chapter, we provide a concise review of state-space modeling and its use for the simulation of electrical systems, for the reader interested in diving more in deep on the topic [1] represent a good starting point for the use of state-space modeling in simulation and [2] for the use of state-space modeling for control purposes.

Authors 2

1. Andrea Benigni Aachen

   RWTH Aachen University · Forschungszentrum Jülich · Fraunhofer Institute for Applied Information Technology

   Affiliation as printed

   Department of Mechanical Engineering

   Fraunhofer FIT Center for Digital Energy

   Institute for Automation of Complex Power Systems

   Institute of Energy and Climate Research: Energy Systems Engineering (IEK-10)

   Juelich Research Center

   RWTH Aachen University

   Institute of Energy and Climate Research: Energy Systems Engineering (IEK-10), Juelich Research Center, , Germany

2. Antonello Monti Aachen Institute for Automation of Complex Power Systems

   RWTH Aachen University · Forschungszentrum Jülich · Fraunhofer Institute for Applied Information Technology

   Affiliation as printed

   Department of Mechanical Engineering

   Fraunhofer FIT Center for Digital Energy

   Institute for Automation of Complex Power Systems

   Institute of Energy and Climate Research: Energy Systems Engineering (IEK-10)

   Juelich Research Center

   RWTH Aachen University

   Institute for Automation of Complex Power Systems, RWTH Aachen University, , Germany