Steady-state power flow analysis of electrical power systems modelled by 2-dimensional multibond graphs

The steady-state analysis of electrical circuits is frequently done by means of phasors. This paper focuses on the use of multiport elements with two-dimensional multibond as representation of the real and imaginary part of a phasor. This set of two-dimensional multibonds forms, together with elements that are adapted likewise, a so-called phasor bond graph model. A procedure is presented to derive a symbolic function of the steady-state of a user-defined output from a phasor bond graph model. The application of a phasor bond graph model in power flow studies of an electrical power system are presented as an example