S-Domain Bond Graph Models Computer Generated Transfer Functions for Electrical Circuits and Operational Amplifiers

摘要

This paper presents an explanation of the generation of transfer functions' utilizing the classical Laplace transformation approach and the Bond Graph Modeling approach. Utilizing electrical circuits and Operational amplifier models, presents a detailed methodology on how to obtain transfer functions from bond graph models using the impedance concept and using the Laplace transformation of the state space equations obtained from a bond graph model. It introduces the concept of the Frequency Domain Bond Graph and the Impedance Bond Graph to generate transfer functions of Electrical Circuits and Operational Amplifiers in symbolic or numeric form. The Computer Aided Modeling Program CAMPG implements these techniques to produce computer generated transfer functions. A new version of CAMPG presented here introduces a new bond graph element, the OP element tailored specifically to generate bond graph models of operational amplifiers. Several basic models of Op-Amps are analyzed and the integration of these in building more complex models such as PID controllers. How to extend these principles for the generation of transfer functions when the system has several inputs and several outputs (MIMO systems) is discussed. Finally a model of an electronic controller demonstrates the application of these principles.