In electrical engineering, the method of Symmetrical components is used to simplify analysis of unbalanced three phase power systems. Three phase voltages Three phase systems have 3 waveforms (usually carrying power) that are 2/3π radians (120 degrees,1/3 of a cycle) offset in time. ...

Charles L. Fortescue in a paper presented in 1918 (Method of Symmetrical Co-Ordinates Applied to the Solution of Polyphase Networks) demonstrated that any set of unbalanced three-phase quantities could be expressed as the sum of three symmetrical sets of balanced phasors. In physics a Phasor describes the phase of a particle in a simple harmonic motion or a wave motion. ...

One set of phasors had the same phase sequence as the system under study (positive sequence), the second set had the reverse phase rotation (negative sequence), and the third set did not rotate (zero sequence). By expanding a one-line diagram to show the positive sequence, negative sequence and zero sequence impedances of generators and transformers and other devices, analysis of such unbalanced conditions as a single line to ground short-circuit fault is greatly simplified. The technique can also be extended to higher phase order systems. Only a single frequency component is represented by the phasors. In power engineering, a one-line diagram is a simplified notation for representing a three phase power system. ... Generator redirects here. ... The Transformers toys, and the related comics and animated television series which have run from the 1980s onwards. ...

The analytical technique was adopted and advanced by engineers at General Electric and Westinghouse and after World War II it was an accepted method for asymmetric fault analysis. The General Electric Company, or GE, (NYSE: GE) is a multinational technology and services company. ... Westinghouse could refer to: George Westinghouse Westinghouse Electric Corporation. ... Mushroom cloud from the nuclear explosion over Nagasaki rising 18 km into the air. ...

Charles LeGeyt Fortescue was born in 1876 in York Factory, in what is now Manitoba where the Hayes River enters Hudson Bay. He was the son of a fur trading factor and was among the the first graduates of the Queen's University electrical engineering program in 1898. He spent most of his professional career working for Westinghouse corporation and died in 1936. A fellowship awarded every year by the IEEE in his name commemorates his contributions to electrical engineering. 1876 is a leap year starting on Saturday. ... Ruperts Land, showing the location of York Factory York Factory was a historic settlement and longtime headquarters of the Hudsons Bay Company in North America, located on the southwestern shore of Hudson Bay in present-day northeastern Manitoba, Canada. ... Motto: Gloriosus et Liber (Glorious and free) Other Canadian provinces and territories Capital Winnipeg Largest city Winnipeg Lieutenant Governor John Harvard Premier Gary Doer (NDP) Area 647,797 km² (8th)  - Land 553,556 km²  - Water 64,241 km² (14. ... Hudson Bay is a large body of water in northeastern Canada. ... Queens University, or simply Queens, is a coeducational, non-sectarian university located in Kingston, Ontario, Canada, on the edge of Lake Ontario. ... Electrical engineering is an engineering discipline that deals with the study and application of electricity and electromagnetism. ... Westinghouse could refer to: George Westinghouse Westinghouse Electric Corporation. ... 1936 was a leap year starting on Wednesday (link will take you to calendar). ... The Institute of Electrical and Electronics Engineers or IEEE (pronounced as eye-triple-ee) is an international non-profit, professional organization incorporated in the State of New York, United States. ... Electrical engineering is an engineering discipline that deals with the study and application of electricity and electromagnetism. ...

References

William D. Stevenson, Jr. Elements of Power System Analysis Third Edition, McGraw-Hill, New York (1975) ISBN 0070612854

History article from IEEE on early development of symmetrical components, retrieved May 12, 2005 (http://www.ieee.org/organizations/pes/public/2004/nov/peshistory.html)