TY - GEN
T1 - On the comparison of different convexified power flow models in radial network
AU - Ngo, Anh Phuong
AU - Thomas, Christan
AU - Oikonomou, Konstantinos
AU - Nguyen, Hieu
AU - Nguyen, Duong
N1 - Funding Information:
This work was supported in part by the Laboratory Directed Research and Development program at Sandia National Laboratories, a multi-mission laboratory managed and operated by National Technology and Engineering Solutions of Sandia LLC, a wholly owned subsidiary of Honeywell International Inc. for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-NA0003525, and in part by the North Carolina A&T State University's College of Engineering Intel Fellowship Program.
Funding Information:
ACKNOWLEDGEMENT This work was supported in part by the Laboratory Directed Research and Development program at Sandia National Laboratories, a multi-mission laboratory managed and operated by National Technology and Engineering Solutions of Sandia LLC, a wholly owned subsidiary of Honeywell International Inc. for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-NA0003525, and in part by the North Carolina A&T State University’s College of Engineering Intel Fellowship Program.
Publisher Copyright:
© 2022 IEEE.
PY - 2022
Y1 - 2022
N2 - In this paper, we review two convex models for power flow in radial distribution network, namely the bus injection and branch flow models. We start with the fundamental equations of voltage drop, power losses, and line power flows between two buses in a distribution line represented by an impedance. These AC circuit analysis equations contain trigonometric functions such as sine and cosine. We show that we can obtain a new set of equivalent AC circuit analysis without trigonometric functions by defining auxiliary variables and/or using linear combination of original equations. Additionally, by treating squared values of voltages and currents we obtain linear form of AC circuit equation whereas the relation of sine and cosine functions can be equivalently embedded in rotated cones. Consequently, we obtain the bus injection and branch flow models, which are theoretically equivalent. Their numerical performance, however, could be different, due to the numerical ill-conditions that may arise when constructing rotated cones.
AB - In this paper, we review two convex models for power flow in radial distribution network, namely the bus injection and branch flow models. We start with the fundamental equations of voltage drop, power losses, and line power flows between two buses in a distribution line represented by an impedance. These AC circuit analysis equations contain trigonometric functions such as sine and cosine. We show that we can obtain a new set of equivalent AC circuit analysis without trigonometric functions by defining auxiliary variables and/or using linear combination of original equations. Additionally, by treating squared values of voltages and currents we obtain linear form of AC circuit equation whereas the relation of sine and cosine functions can be equivalently embedded in rotated cones. Consequently, we obtain the bus injection and branch flow models, which are theoretically equivalent. Their numerical performance, however, could be different, due to the numerical ill-conditions that may arise when constructing rotated cones.
KW - power flow analysis
KW - radial distribution network
KW - second-order conic programming (SOCP)
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U2 - 10.1109/KPEC54747.2022.9814764
DO - 10.1109/KPEC54747.2022.9814764
M3 - Conference contribution
AN - SCOPUS:85135105489
T3 - 2022 IEEE Kansas Power and Energy Conference, KPEC 2022
BT - 2022 IEEE Kansas Power and Energy Conference, KPEC 2022
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 3rd IEEE Kansas Power and Energy Conference, KPEC 2022
Y2 - 25 April 2022 through 26 April 2022
ER -