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Mathematical reconsideration of number of variables in power flow computation.

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Title: Mathematical reconsideration of number of variables in power flow computation.
Authors: Yang, Seong-Deog1, Lee, Sang-Joong2 85sjlee@seoultech.ac.kr
Source: Electrical Engineering. Mar2017, Vol. 99 Issue 1, p59-62. 4p.
Subjects: Electric power, Computer buses, Equations, Reasoning, Mathematical variables, Mathematical analysis
Abstract: It has been conventionally believed that there exist 4 n variables P, Q, V, $$\theta $$ for an n-bus system in the power flow computation, while we have 2 n power flow equations. In this article, the authors argue that the number of variables in an n-bus system is not 4 n but $$4n-1$$ , hence the power flow solution can be obtained without specifying the reference angle of the slack bus. We then deliver a mathematical reasoning why the number of variables in an n-bus system is not 4 n but $$4n-1$$ . [ABSTRACT FROM AUTHOR]
Copyright of Electrical Engineering is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Mathematical reconsideration of number of variables in power flow computation.
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  Data: It has been conventionally believed that there exist 4 n variables P, Q, V, $$\theta $$ for an n-bus system in the power flow computation, while we have 2 n power flow equations. In this article, the authors argue that the number of variables in an n-bus system is not 4 n but $$4n-1$$ , hence the power flow solution can be obtained without specifying the reference angle of the slack bus. We then deliver a mathematical reasoning why the number of variables in an n-bus system is not 4 n but $$4n-1$$ . [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Electrical Engineering is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00202-016-0383-4
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      – TitleFull: Mathematical reconsideration of number of variables in power flow computation.
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