Tracing power with circuit theory

Yu Christine Chen; Sairaj V. Dhople

doi:10.1109/TSG.2019.2918258

Tracing power with circuit theory

Yu Christine Chen, Sairaj V. Dhople

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Power tracing is the task of disaggregating the power injection of a generator (or a load) into a sum of constituent components that can unambiguously be attributed to loads (generators) and losses. Applications of power tracing range the broad spectrum of: transmission services pricing, loss allocation in distribution networks, fixed-cost allocation, modelling bilateral transactions, and financial storage rights. This paper develops an analytical approach to power tracing leveraging elementary circuit laws. The method is rigorous from a system-theoretic vantage point, and it yields unambiguous results that are consistent with constitutive principles that describe the steady-state behaviour of power networks. Moreover, it can be implemented with limited computational burden, applies to networks with arbitrary topologies, and preserves the coupling between active- and reactive-power injections. Numerical experiments indicate that given a solved power-flow solution, disaggregations can be computed for a test system with 2383 buses, 327 generators, and 2056 loads in 4.34 s on a personal computer, hence establishing computational scalability. Furthermore, applications are demonstrated in distribution and transmission networks with case studies focused on quantifying the impact of distributed generation on loss allocation and extracting nodal contributions to bilateral transactions, respectively.

Original language	English (US)
Article number	8719987
Pages (from-to)	138-147
Number of pages	10
Journal	IEEE Transactions on Smart Grid
Volume	11
Issue number	1
DOIs	https://doi.org/10.1109/TSG.2019.2918258
State	Published - Jan 2020
Externally published	Yes

Bibliographical note

Funding Information:
Manuscript received October 31, 2018; revised February 8, 2019 and March 28, 2019; accepted May 12, 2019. Date of publication May 22, 2019; date of current version December 23, 2019. The work of Y. C. Chen was supported by the Natural Sciences and Engineering Research Council of Canada under Grant RGPIN-2016-04271. The work of S. V. Dhople was supported in part by the National Science Foundation Sustainability Research Network under Grant 1444745. Paper no. TSG-01690-2018. (Corresponding author: Yu Christine Chen.) Y. C. Chen is with the Department of Electrical and Computer Engineering, University of British Columbia, Vancouver, BC V6T 1Z4, Canada (e-mail: chen@ece.ubc.ca).

Publisher Copyright:
© 2010-2012 IEEE.

Keywords

Downstream tracing
Kron reduction
loss allocation
power flow
power tracing
upstream tracing

Access

10.1109/TSG.2019.2918258

OpenUrl availability

Full text

Cite this

@article{61aba2d2514846dd848dddb0ad6813d4,

title = "Tracing power with circuit theory",

abstract = "Power tracing is the task of disaggregating the power injection of a generator (or a load) into a sum of constituent components that can unambiguously be attributed to loads (generators) and losses. Applications of power tracing range the broad spectrum of: transmission services pricing, loss allocation in distribution networks, fixed-cost allocation, modelling bilateral transactions, and financial storage rights. This paper develops an analytical approach to power tracing leveraging elementary circuit laws. The method is rigorous from a system-theoretic vantage point, and it yields unambiguous results that are consistent with constitutive principles that describe the steady-state behaviour of power networks. Moreover, it can be implemented with limited computational burden, applies to networks with arbitrary topologies, and preserves the coupling between active- and reactive-power injections. Numerical experiments indicate that given a solved power-flow solution, disaggregations can be computed for a test system with 2383 buses, 327 generators, and 2056 loads in 4.34 s on a personal computer, hence establishing computational scalability. Furthermore, applications are demonstrated in distribution and transmission networks with case studies focused on quantifying the impact of distributed generation on loss allocation and extracting nodal contributions to bilateral transactions, respectively.",

keywords = "Downstream tracing, Kron reduction, loss allocation, power flow, power tracing, upstream tracing",

author = "Chen, {Yu Christine} and Dhople, {Sairaj V.}",

note = "Funding Information: Manuscript received October 31, 2018; revised February 8, 2019 and March 28, 2019; accepted May 12, 2019. Date of publication May 22, 2019; date of current version December 23, 2019. The work of Y. C. Chen was supported by the Natural Sciences and Engineering Research Council of Canada under Grant RGPIN-2016-04271. The work of S. V. Dhople was supported in part by the National Science Foundation Sustainability Research Network under Grant 1444745. Paper no. TSG-01690-2018. (Corresponding author: Yu Christine Chen.) Y. C. Chen is with the Department of Electrical and Computer Engineering, University of British Columbia, Vancouver, BC V6T 1Z4, Canada (e-mail: chen@ece.ubc.ca). Publisher Copyright: {\textcopyright} 2010-2012 IEEE.",

year = "2020",

month = jan,

doi = "10.1109/TSG.2019.2918258",

language = "English (US)",

volume = "11",

pages = "138--147",

journal = "IEEE Transactions on Smart Grid",

issn = "1949-3053",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "1",

}

TY - JOUR

T1 - Tracing power with circuit theory

AU - Chen, Yu Christine

AU - Dhople, Sairaj V.

N1 - Funding Information: Manuscript received October 31, 2018; revised February 8, 2019 and March 28, 2019; accepted May 12, 2019. Date of publication May 22, 2019; date of current version December 23, 2019. The work of Y. C. Chen was supported by the Natural Sciences and Engineering Research Council of Canada under Grant RGPIN-2016-04271. The work of S. V. Dhople was supported in part by the National Science Foundation Sustainability Research Network under Grant 1444745. Paper no. TSG-01690-2018. (Corresponding author: Yu Christine Chen.) Y. C. Chen is with the Department of Electrical and Computer Engineering, University of British Columbia, Vancouver, BC V6T 1Z4, Canada (e-mail: chen@ece.ubc.ca). Publisher Copyright: © 2010-2012 IEEE.

PY - 2020/1

Y1 - 2020/1

N2 - Power tracing is the task of disaggregating the power injection of a generator (or a load) into a sum of constituent components that can unambiguously be attributed to loads (generators) and losses. Applications of power tracing range the broad spectrum of: transmission services pricing, loss allocation in distribution networks, fixed-cost allocation, modelling bilateral transactions, and financial storage rights. This paper develops an analytical approach to power tracing leveraging elementary circuit laws. The method is rigorous from a system-theoretic vantage point, and it yields unambiguous results that are consistent with constitutive principles that describe the steady-state behaviour of power networks. Moreover, it can be implemented with limited computational burden, applies to networks with arbitrary topologies, and preserves the coupling between active- and reactive-power injections. Numerical experiments indicate that given a solved power-flow solution, disaggregations can be computed for a test system with 2383 buses, 327 generators, and 2056 loads in 4.34 s on a personal computer, hence establishing computational scalability. Furthermore, applications are demonstrated in distribution and transmission networks with case studies focused on quantifying the impact of distributed generation on loss allocation and extracting nodal contributions to bilateral transactions, respectively.

AB - Power tracing is the task of disaggregating the power injection of a generator (or a load) into a sum of constituent components that can unambiguously be attributed to loads (generators) and losses. Applications of power tracing range the broad spectrum of: transmission services pricing, loss allocation in distribution networks, fixed-cost allocation, modelling bilateral transactions, and financial storage rights. This paper develops an analytical approach to power tracing leveraging elementary circuit laws. The method is rigorous from a system-theoretic vantage point, and it yields unambiguous results that are consistent with constitutive principles that describe the steady-state behaviour of power networks. Moreover, it can be implemented with limited computational burden, applies to networks with arbitrary topologies, and preserves the coupling between active- and reactive-power injections. Numerical experiments indicate that given a solved power-flow solution, disaggregations can be computed for a test system with 2383 buses, 327 generators, and 2056 loads in 4.34 s on a personal computer, hence establishing computational scalability. Furthermore, applications are demonstrated in distribution and transmission networks with case studies focused on quantifying the impact of distributed generation on loss allocation and extracting nodal contributions to bilateral transactions, respectively.

KW - Downstream tracing

KW - Kron reduction

KW - loss allocation

KW - power flow

KW - power tracing

KW - upstream tracing

UR - http://www.scopus.com/inward/record.url?scp=85077340520&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85077340520&partnerID=8YFLogxK

U2 - 10.1109/TSG.2019.2918258

DO - 10.1109/TSG.2019.2918258

M3 - Article

AN - SCOPUS:85077340520

SN - 1949-3053

VL - 11

SP - 138

EP - 147

JO - IEEE Transactions on Smart Grid

JF - IEEE Transactions on Smart Grid

IS - 1

M1 - 8719987

ER -

Tracing power with circuit theory

Abstract

Bibliographical note

Keywords

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this