  In this paper we propose and demonstrate the potential for unifying models
and algorithms for the steady state and transient simulation of single-phase
and three-phase power systems. At present, disparate algorithms and models are
used for the different analyses, which can lead to inconsistencies such as the
transient analysis as time approaches infinity not matching the steady state
analysis of the same conditions. Using our equivalent circuit formulation of
the power system, we propose a methodology for forming physics-based models
that can facilitate transient, balanced power flow, and three-phase power flow
in one simulation environment. The approach is demonstrated on a three-phase
induction motor. Existing industry tools are used to validate the model and
simulation results for the different analyses.
