SYSTEMATIC STATE EQUATION DERIVATION FOR LINEAR SYSTEMS USING THE NORMAL TREE METHOD

摘要

A systematic method to derive the state equations of a linear system starting from its linear graph is proposed. The normal tree is used in the analysis, which is a method to determine the dependencies between energy storage elements in the system. An algorithm to list all normal trees of a system graph is developed, which enables the determination of energy-based state variable sets and corresponding state equations. A computer program is developed to realize these algorithms, which derives the state equations of a system, given its linear graph.