On Using Gssm in Power Systems Dynamics' Simulation

A broad spectrum of aspects related to the feasibility, principles, and implementation of the generalized state-space model (GSSM) as a mathematical modeling technique for energy systems simulation has been considered. This paper reviews the use of GSSM to address the challenges of adequate modeling of dynamics of modern power systems’ dynamics, which are characterized by their hybrid nature, complex switching modes, and nonlinear interactions. The versatility of GSSM is analyzed in comparison to traditional approaches, particularly its capability to integrate continuous and discrete system dynamics into a unified advanced framework. Additionally, the model's ability to capture both linear and nonlinear regimes, its compatibility with contemporary computational tools, and its application across various power systems are discussed in detail. The fundamentals, analytical and numerical considerations of differential-algebraic equations (DAEs) are also examined. The effectiveness of GSSM is demonstrated through a case study involving simulation of a power supply control device dynamics. Computer modeling experiments highlight the advantages of GSSM over traditional methods in terms of accuracy, computational efficiency, and scalability. At the same time, they identify areas where further advancements and improvements are necessary.