Reactances of synchronous machines: Difference between revisions

Revision as of 21:51, 27 July 2023

Revision as of 13:25, 7 December 2023

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The '''reactances of synchronous machines''' comprise a set of characteristic constants used in the theory of [[synchronous machine]]s.{{sfn|Park|Robertson|1928|p=514}} Technically, these constants are specified in units of the [[electrical reactance]] ([[ohm]]s), although they are typically expressed in the [[per-unit system]] and thus [[dimensionless]]. Since for practically all (except for the tiniest) machines the resistance of the coils is negligibly small in comparison to the reactance, the latter can be used instead of ([[Complex number|complex]]) [[electrical impedance]], simplifying the calculations.{{sfn | Klempner | Kerszenbaum | 20182004 | p=264144}}

== Two reactions theory ==

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Das{{sfn|Das|2017|pp=180-182}} identifies the following reactances:

* leakage reactance <math>X_l</math>;

* synchronous reactance <math>X_d</math> (also <math>X_S</math>{{sfn | Klempner | Kerszenbaum | 20182004 | p=264144}});

* transient reactance <math>X'_d</math>;

* subtransient reactance <math>X''_d</math>;

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* {{cite book | last=Gieras | first=J.F. | last2=Shen | first2=J.X. | title=Modern Permanent Magnet Electric Machines: Theory and Control | publisher=CRC Press | year=2022 | isbn=978-1-000-77700-0 | url=https://books.google.com/books?id=KvGaEAAAQBAJ&pg=PA211 | access-date=2023-07-03}}

* {{cite book | last=Deshpande | first=M.V. | title=Electrical Machines | publisher=Prentice Hall India Pvt., Limited | year=2011 | isbn=978-81-203-4026-8 | url=https://books.google.com/books?id=JKsH_3AzYMMC&pg=PA315 | access-date=2023-07-03}}

* {{cite book |last1=Klempner |first1=Geoff |last2=Kerszenbaum |first2=Isidor |title=Operation and Maintenance of Large Turbo-Generators |date=2004 |publisher=John Wiley & Sons |isbn=978-0-471-61447-0 |url=https://books.google.co.uk/books?id=DPdkLp_crLAC&pg=PA144 |language=en}}

* {{cite book | last=Machowski | first=J. | last2=Bialek | first2=J. | last3=Bumby | first3=J.R. | title=Power System Dynamics and Stability | publisher=Wiley | year=1997 | isbn=978-0-471-95643-3 | url=https://books.google.com/books?id=L7o4TitajRIC&pg=PA104 | access-date=2023-07-04}}

* {{cite book | last=Ramar | first=S. | last2=Kuruseelan | first2=S. | title=Power System Analysis | publisher=PHI Learning | year=2013 | isbn=978-81-203-4733-5 | url=https://books.google.com/books?id=ahntULiMFgwC&pg=PA19 | access-date=2023-07-04}}