Date of Award


Document Type

Campus Access Thesis


Electrical Engineering

First Advisor

Roger A. Dougal


The resistive companion form (RCF) is extended to phasor and dynamic phasor models. A phasor solver is implemented in the Virtual Test Bed (VTB) simulation environment. Several models targeting the VTB phasor solver are derived and discussed.

Also, a method for coupling phasor RCF networks to time domain RCF networks is proposed. The coupling method uses controlled sources, modified nodal analysis (MNA), and a discrete Fourier transform (DFT) phasor estimation. A coupling device using this technique is implemented in Virtual Test Bed (VTB). The accuracy and stability of the method is verified with two test systems, including a system consisting of a phasor electrical network attached to a three phase induction motor. The hybrid simulations produce exact steady-state results, nearly exact results for slow transients (on the order of 10 cycles), and good approximations for faster transients (on the order of 1 cycle). Unbalanced fault conditions are also simulated with satisfactory results.