TY - JOUR
T1 - A fixed-point current injection power flow for electric distribution systems using Laurent series
AU - Giraldo, Juan S.
AU - Montoya, Oscar Danilo
AU - Vergara, Pedro P.
AU - Milano, Federico
N1 - Funding Information:
F. Milano was supported by Sustainable Energy Authority of Ireland (SEAI) , under the project FRESLIPS, Grant No. RDD/00681 .
Funding Information:
J. S. Giraldo was financially supported by the Netherlands Enterprise Agency (RVO) – DEI+ project 120037 “Het Indië terrein: Een slimme buurtbatterij in de oude weverij”.
Publisher Copyright:
© 2022 The Author(s)
PY - 2022/10/1
Y1 - 2022/10/1
N2 - This paper proposes a new power flow (PF) formulation for electrical distribution systems using the current injection method and applying the Laurent series expansion. Two solution algorithms are proposed: a Newton-like iterative procedure and a fixed-point iteration based on the successive approximation method (SAM). The convergence analysis of the SAM is proven via the Banach fixed-point theorem, ensuring numerical stability, the uniqueness of the solution, and independence on the initializing point. Numerical results are obtained for both proposed algorithms and compared to well-known PF formulations considering their rate of convergence, computational time, and numerical stability. Tests are performed for different branch R/X ratios, loading conditions, and initialization points in balanced and unbalanced networks with radial and weakly-meshed topologies. Results show that the SAM is computationally more efficient than the compared PFs, being more than ten times faster than the backward–forward sweep algorithm.
AB - This paper proposes a new power flow (PF) formulation for electrical distribution systems using the current injection method and applying the Laurent series expansion. Two solution algorithms are proposed: a Newton-like iterative procedure and a fixed-point iteration based on the successive approximation method (SAM). The convergence analysis of the SAM is proven via the Banach fixed-point theorem, ensuring numerical stability, the uniqueness of the solution, and independence on the initializing point. Numerical results are obtained for both proposed algorithms and compared to well-known PF formulations considering their rate of convergence, computational time, and numerical stability. Tests are performed for different branch R/X ratios, loading conditions, and initialization points in balanced and unbalanced networks with radial and weakly-meshed topologies. Results show that the SAM is computationally more efficient than the compared PFs, being more than ten times faster than the backward–forward sweep algorithm.
KW - UT-Hybrid-D
U2 - 10.1016/j.epsr.2022.108326
DO - 10.1016/j.epsr.2022.108326
M3 - Article
SN - 0378-7796
VL - 211
JO - Electric power systems research
JF - Electric power systems research
M1 - 108326
ER -