Physical Meaning of Zeros and Transmission Zeros from Bond Graph Models

Abstract

The power flow within a physical system determines its dynamic behaviour, of which zeros are an important characteristic. For this, the bond graph representation is used to visualize the paths of power flow and the energy interaction between the elements. In this graphical notation, the zeros disturb the power flow by introducing energy blocking nodes. As a consequence, some parts of the system are energetically isolated. Zeros are shown to be the eigenvalues of such isolated subsystems. The nodes also create constraints between some variables of the system. Rules are presented for identifying the zero-providing subsystems from bond graph models. The knowledge about these subsystems enable the designer to accurately devise the system structural configuration to obtain the most appropriate zeros.