Stability analysis methods may be categorized by two major stability analysis methods: small-signal stability and transient stability analyses. Transient stability methods are further categorized into two major categories: numerical methods based on numerical integration, and direct methods. The purpose of this thesis is to study and investigate transient stability analysis using a combination of step-by-step and direct methods using Equal Area Criterion. The proposed method is extended for transient stability analysis of multi machine power systems. The proposed method calculates the potential and kinetic energies for all machines in a power system and then compares the largest group of kinetic energies to the smallest groups of potential energies. A decision based on the comparison can be made to determine stability of the power system. The proposed method is used to simulate the IEEE 39 Bus system to verify its effectiveness by comparison to the results obtained by pure numerical methods.
","abstract_html":"<p>Stability analysis methods may be categorized by two major stability analysis methods: small-signal stability and transient stability analyses. Transient stability methods are further categorized into two major categories: numerical methods based on numerical integration, and direct methods. The purpose of this thesis is to study and investigate transient stability analysis using a combination of step-by-step and direct methods using Equal Area Criterion. The proposed method is extended for transient stability analysis of multi machine power systems. The proposed method calculates the potential and kinetic energies for all machines in a power system and then compares the largest group of kinetic energies to the smallest groups of potential energies. A decision based on the comparison can be made to determine stability of the power system. The proposed method is used to simulate the IEEE 39 Bus system to verify its effectiveness by comparison to the results obtained by pure numerical methods.</p>","abstract_has_math":false,"creators":["Al Marhoon, Hussain Hassan"],"institution":null,"degree_name":"M.S.","degree_level":"Thesis-Restricted","degree_discipline":"Electrical Engineering","degree_department":null,"school":null,"contributors":["Rastgoufard, Parviz","Azzam, Rasheed","Leevongwat, Ittiphong"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-05-20T07:00:00Z","date_published":"2011-05-20T07:00:00Z","updated_at":"2026-07-24T05:28:04Z","subjects":["Transient stability","direct methods","numerical methods","Equal Area Criterion","energy function","critical machine"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarworks.uno.edu/td/114","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Rastgoufard, Parviz","Azzam, Rasheed","Leevongwat, Ittiphong"]},{"key":"dc:creator","label":"Author","values":["Al Marhoon, Hussain Hassan"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Electrical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis-Restricted"]},{"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":["Transient stability","direct methods","numerical methods","Equal Area Criterion","energy function","critical machine"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarworks.uno.edu/td/114"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Stability analysis methods may be categorized by two major stability analysis methods: small-signal stability and transient stability analyses. Transient stability methods are further categorized into two major categories: numerical methods based on numerical integration, and direct methods. The purpose of this thesis is to study and investigate transient stability analysis using a combination of step-by-step and direct methods using Equal Area Criterion. The proposed method is extended for transient stability analysis of multi machine power systems. The proposed method calculates the potential and kinetic energies for all machines in a power system and then compares the largest group of kinetic energies to the smallest groups of potential energies. A decision based on the comparison can be made to determine stability of the power system. The proposed method is used to simulate the IEEE 39 Bus system to verify its effectiveness by comparison to the results obtained by pure numerical methods.
"]},{"key":"dc:title","label":"Title","values":["A Practical Method for Power Systems Transient Stability and Security"]}]}],"canonical_facts":{"dc:contributor":["Rastgoufard, Parviz","Azzam, Rasheed","Leevongwat, Ittiphong"],"dc:creator":["Al Marhoon, Hussain Hassan"],"dc:description.abstract":["Stability analysis methods may be categorized by two major stability analysis methods: small-signal stability and transient stability analyses. Transient stability methods are further categorized into two major categories: numerical methods based on numerical integration, and direct methods. The purpose of this thesis is to study and investigate transient stability analysis using a combination of step-by-step and direct methods using Equal Area Criterion. The proposed method is extended for transient stability analysis of multi machine power systems. The proposed method calculates the potential and kinetic energies for all machines in a power system and then compares the largest group of kinetic energies to the smallest groups of potential energies. A decision based on the comparison can be made to determine stability of the power system. The proposed method is used to simulate the IEEE 39 Bus system to verify its effectiveness by comparison to the results obtained by pure numerical methods.
"],"dc:identifier":["https://scholarworks.uno.edu/td/114"],"dc:subject":["Transient stability","direct methods","numerical methods","Equal Area Criterion","energy function","critical machine"],"dc:title":["A Practical Method for Power Systems Transient Stability and Security"],"thesis:degree_discipline":["Electrical Engineering"],"thesis:degree_level":["Thesis-Restricted"],"thesis:degree_name":["M.S."]},"updated_at":"2026-07-24T05:28:04Z"}