Mapping nodal power injections to branch flows in connected LTI electrical networks

Yu Christine Chen; Abdullah Al-Digs; Sairaj V. Dhople

doi:10.1109/ISCAS.2016.7539005

Mapping nodal power injections to branch flows in connected LTI electrical networks

Yu Christine Chen
, Abdullah Al-Digs
, Sairaj V. Dhople

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Scopus citations

Abstract

This paper presents analytical closed-form expressions that map the contributions of nodal active- and reactive-power injections to the branch active- and reactive-power flows in an AC electrical network that is operating in sinusoidal steady state. We term these as the power divider laws, since they are derived leveraging, and their form and functionality are similar to, the ubiquitous current divider law. Distinct from the current divider law that only depends on the topology and constitution of the electrical network, the power divider laws are a function of the topology as well as the sinusoidal-steady-state voltage profile of the network.

Original language	English (US)
Title of host publication	ISCAS 2016 - IEEE International Symposium on Circuits and Systems
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2146-2149
Number of pages	4
ISBN (Electronic)	9781479953400
DOIs	https://doi.org/10.1109/ISCAS.2016.7539005
State	Published - Jul 29 2016
Event	2016 IEEE International Symposium on Circuits and Systems, ISCAS 2016 - Montreal, Canada Duration: May 22 2016 → May 25 2016

Publication series

Name	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	2016-July
ISSN (Print)	0271-4310

Other

Other	2016 IEEE International Symposium on Circuits and Systems, ISCAS 2016
Country/Territory	Canada
City	Montreal
Period	5/22/16 → 5/25/16

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

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10.1109/ISCAS.2016.7539005

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Chen, Y. C., Al-Digs, A., & Dhople, S. V. (2016). Mapping nodal power injections to branch flows in connected LTI electrical networks. In ISCAS 2016 - IEEE International Symposium on Circuits and Systems (pp. 2146-2149). Article 7539005 (Proceedings - IEEE International Symposium on Circuits and Systems; Vol. 2016-July). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISCAS.2016.7539005

Mapping nodal power injections to branch flows in connected LTI electrical networks. / Chen, Yu Christine; Al-Digs, Abdullah; Dhople, Sairaj V.
ISCAS 2016 - IEEE International Symposium on Circuits and Systems. Institute of Electrical and Electronics Engineers Inc., 2016. p. 2146-2149 7539005 (Proceedings - IEEE International Symposium on Circuits and Systems; Vol. 2016-July).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Chen, YC, Al-Digs, A & Dhople, SV 2016, Mapping nodal power injections to branch flows in connected LTI electrical networks. in ISCAS 2016 - IEEE International Symposium on Circuits and Systems., 7539005, Proceedings - IEEE International Symposium on Circuits and Systems, vol. 2016-July, Institute of Electrical and Electronics Engineers Inc., pp. 2146-2149, 2016 IEEE International Symposium on Circuits and Systems, ISCAS 2016, Montreal, Canada, 5/22/16. https://doi.org/10.1109/ISCAS.2016.7539005

Chen YC, Al-Digs A, Dhople SV. Mapping nodal power injections to branch flows in connected LTI electrical networks. In ISCAS 2016 - IEEE International Symposium on Circuits and Systems. Institute of Electrical and Electronics Engineers Inc. 2016. p. 2146-2149. 7539005. (Proceedings - IEEE International Symposium on Circuits and Systems). doi: 10.1109/ISCAS.2016.7539005

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abstract = "This paper presents analytical closed-form expressions that map the contributions of nodal active- and reactive-power injections to the branch active- and reactive-power flows in an AC electrical network that is operating in sinusoidal steady state. We term these as the power divider laws, since they are derived leveraging, and their form and functionality are similar to, the ubiquitous current divider law. Distinct from the current divider law that only depends on the topology and constitution of the electrical network, the power divider laws are a function of the topology as well as the sinusoidal-steady-state voltage profile of the network.",

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N2 - This paper presents analytical closed-form expressions that map the contributions of nodal active- and reactive-power injections to the branch active- and reactive-power flows in an AC electrical network that is operating in sinusoidal steady state. We term these as the power divider laws, since they are derived leveraging, and their form and functionality are similar to, the ubiquitous current divider law. Distinct from the current divider law that only depends on the topology and constitution of the electrical network, the power divider laws are a function of the topology as well as the sinusoidal-steady-state voltage profile of the network.

AB - This paper presents analytical closed-form expressions that map the contributions of nodal active- and reactive-power injections to the branch active- and reactive-power flows in an AC electrical network that is operating in sinusoidal steady state. We term these as the power divider laws, since they are derived leveraging, and their form and functionality are similar to, the ubiquitous current divider law. Distinct from the current divider law that only depends on the topology and constitution of the electrical network, the power divider laws are a function of the topology as well as the sinusoidal-steady-state voltage profile of the network.

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Mapping nodal power injections to branch flows in connected LTI electrical networks

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