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.
","abstract_html":"<p>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.</p> <p>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.</p>","abstract_has_math":false,"creators":["Hood, Joseph Micah"],"institution":null,"degree_name":"M.S.","degree_level":"Campus Access Thesis","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Roger A. Dougal"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2010,"date_issued":"2010-01-01T08:00:00Z","date_published":"2010-01-01T08:00:00Z","updated_at":"2026-07-24T04:36:56Z","subjects":["Electrical and Computer Engineering","Electrical and Electronics","Engineering","Discrete Fourier Transforms","Dynamic Phasors","Modified Nodal Analysis","Phasor Analysis","Resistive Companion Form","Time Domain Analysis"],"languages":[],"rights":["© 2010, Joseph Micah Hood"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarcommons.sc.edu/etd/189","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Roger A. Dougal"]},{"key":"dc:creator","label":"Author","values":["Hood, Joseph Micah"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Campus Access Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Electrical and Computer Engineering","Electrical and Electronics","Engineering","Discrete Fourier Transforms","Dynamic Phasors","Modified Nodal Analysis","Phasor Analysis","Resistive Companion Form","Time Domain Analysis"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["© 2010, Joseph Micah Hood"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarcommons.sc.edu/etd/189"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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.
"]},{"key":"dc:title","label":"Title","values":["Resistive Companion Dynamic Phasor Networks and Phasor to Time Domain Network Coupling"]}]}],"canonical_facts":{"dc:contributor":["Roger A. Dougal"],"dc:creator":["Hood, Joseph Micah"],"dc:description.abstract":["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.
"],"dc:identifier":["https://scholarcommons.sc.edu/etd/189"],"dc:rights":["© 2010, Joseph Micah Hood"],"dc:subject":["Electrical and Computer Engineering","Electrical and Electronics","Engineering","Discrete Fourier Transforms","Dynamic Phasors","Modified Nodal Analysis","Phasor Analysis","Resistive Companion Form","Time Domain Analysis"],"dc:title":["Resistive Companion Dynamic Phasor Networks and Phasor to Time Domain Network Coupling"],"thesis:degree_discipline":["Electrical Engineering"],"thesis:degree_level":["Campus Access Thesis"],"thesis:degree_name":["M.S."]},"updated_at":"2026-07-24T04:36:56Z"}