DOI:
https://doi.org/10.14483/23448393.24009Published:
2025-08-01Issue:
Vol. 30 No. 2 (2025): May-AugustSection:
EditorialGeneralized Power Flow Algorithms for Monopolar DC Networks Using Broyden’s Method
Keywords:
Power flow, Transmission network, System stability (en).Downloads
Abstract (en)
Solving the power flow problem in transmission networks is crucial for ensuring the reliable and efficient operation of electrical power systems. Power flow analysis allows engineers to determine the voltage, current, and power flows of a network, which is essential for maintaining system stability and avoiding overloads. Accurate power flow solutions aid in identifying potential issues such as voltage drops, line losses, and system inefficiencies, enabling the proactive maintenance and optimization of the grid. This analysis is vital for integrating renewable energy sources, as it ensures an effective power distribution, even when dealing with variable generation. Ultimately, solving the power flow problem enhances the overall resilience, reliability, and economic performance of the transmission network, supporting a stable supply of electricity to consumers.
References
S. Sarhan, A. M. Shaheen, R. A. El-Sehiemy, and M. Gafar, “Enhanced Teaching Learning-Based Algorithm for Fuel Costs and Losses Minimization in AC-DC Systems,” Mathematics, vol. 10, no. 13, p. 2337, Jul. 2022. https://doi.org/10.3390/math10132337
Z. Liu and M. Li, “Research on Energy Efficiency of DC Distribution System,” AASRI Proc., vol. 7, pp. 68–74, 2014. https://doi.org/10.1016/j.aasri.2014.05.031
J. Li, F. Liu, Z. Wang, S. H. Low, and S. Mei, “Optimal Power Flow in Stand-Alone DC Microgrids,” IEEE Trans. Power Syst., vol. 33, no. 5, pp. 5496–5506, sep 2018. https://doi.org/10.1109/tpwrs.2018.2801280
J. W. Simpson-Porco, F. Dorfler, and F. Bullo, “On resistive networks of constant-power devices,” IEEE Trans. Circ. Syst. II Exp. Briefs, vol. 62, no. 8, pp. 811–815, aug 2015. https://doi.org/10.1109/tcsii.2015.2433537
A. Garces, “Uniqueness of the power flow solutions in low voltage direct current grids,” Elec. Power Syst. Res., vol. 151, pp. 149–153, oct 2017. https://doi.org/10.1016/j.epsr.2017.05.031
A. Garces, “On the Convergence of Newton's Method in Power Flow Studies for DC Microgrids,” IEEE Trans. Power Syst., vol. 33, no. 5, pp. 5770–5777, sep 2018. https://doi.org/10.1109/tpwrs.2018.2820430
J. Beerten, S. Cole, and R. Belmans, “A sequential AC/DC power flow algorithm for networks containing multi-terminal VSC HVDC systems,” in IEEE PES Gen. Meet. IEEE, jul 2010. https://doi.org/10.1109/pes.2010.5589968
O. D. Montoya, W. Gil-González, and A. Garcés, “Numerical methods for power flow analysis in DC networks: State of the art, methods and challenges,” Int. J. Elec. Power Energy Syst., vol. 123, p. 106299, dec 2020. https://doi.org/10.1016/j.ijepes.2020.106299
A. Marini, S. Mortazavi, L. Piegari, and M.-S. Ghazizadeh, “An efficient graph-based power flow algorithm for electrical distribution systems with a comprehensive modeling of distributed generations,” Elec. Power Syst. Res., vol. 170, pp. 229–243, may 2019. https://doi.org/10.1016/j.epsr.2018.12.026
T. Shen, Y. Li, and J. Xiang, “A Graph-Based Power Flow Method for Balanced Distribution Systems,” Energies, vol. 11, no. 3, p. 511, feb 2018. https://doi.org/10.3390/en11030511
A. Garcés and O.-D. Montoya, “A Potential Function for the Power Flow in DC Microgrids: An Analysis of the Uniqueness and Existence of the Solution and Convergence of the Algorithms,” J. Control Autom. Elec. Syst., vol. 30, no. 5, pp. 794–801, jun 2019. https://doi.org/10.1007/s40313-019-00489-4
A. Ramli, M. L. Abdullah, and M. Mamat, “Broyden's method for solving fuzzy nonlinear equations,” Adv. Fuzzy Syst., vol. 2010, pp. 1–6, 2010. https://doi.org/10.1155/2010/763270
H. Yang, F. Wen, and L. Wang, “Newton-Raphson on power flow algorithm and Broyden Method in the distribution system,” in 2008 IEEE 2nd Int. Power Energy Conf. IEEE, dec 2008. https://doi.org/10.1109/pecon.2008.4762737
F. Tolner, B. Barta, and G. Eigner, “Comparison of Newton’s and Broyden’s Method as Nonlinear Solver in the Implementation of MFV-robustified Linear Regression,” in 2022 IEEE Int. Conf. Syst. Man Cybernetics (SMC). IEEE, oct 2022. https://doi.org/10.1109/smc53654.2022.9945222
L. M. Riaño-Enciso, O. Danilo Montoya, and W. Gil-González, “Implementation of Broyden’s Method to Compute the Three-Phase Power Flow in Electrical Distribution Networks with Asymmetric Loading,” in 2023 IEEE Colombian Caribbean Conf. (C3). IEEE, Nov. 2023, pp. 1–6. https://doi.org/10.1109/c358072.2023.10436180
M. Mirzaee, A. Zolfaghari, and A. Minuchehr, “The Broyden method applied for the analysis of two-phase flow in a BWR fuel bundle based on the drift-flux model,” Prog. Nuclear Energy, vol. 112, pp. 80–95, apr 2019. https://doi.org/10.1016/j.pnucene.2018.12.004
W. Yi, Z. Lin, Y. Lin, S. Xiong, Z. Yu, and Y. Chen, “Solving Optimal Power Flow Problem via Improved Constrained Adaptive Differential Evolution,” Mathematics, vol. 11, no. 5, p. 1250, Mar. 2023. https://doi.org/10.3390/math11051250
O. B. Adewuyi and S. Krishnamurthy, “Performance Analysis for Predictive Voltage Stability Monitoring Using Enhanced Adaptive Neuro-Fuzzy Expert System,” Mathematics, vol. 12, no. 19, p. 3008, Sep. 2024. https://doi.org/10.3390/math12193008
U. Hussan, H. Wang, M. A. Ayub, H. Rasheed, M. A. Majeed, J. Peng, and H. Jiang, “Decentralized Stochastic Recursive Gradient Method for Fully Decentralized OPF in Multi-Area Power Systems,” Mathematics, vol. 12, no. 19, p. 3064, Sep. 2024. https://doi.org/10.3390/math12193064
L. F. Grisales-Noreña, O. D. Montoya, W. J. Gil-González, A.-J. Perea-Moreno, and M.-A. Perea-Moreno, “A Comparative Study on Power Flow Methods for Direct-Current Networks Considering Processing Time and Numerical Convergence Errors,” Electronics, vol. 9, no. 12, p. 2062, dec 2020. https://doi.org/10.3390/electronics9122062
O. D. Montoya, V. M. Garrido, W. Gil-González, and L. F. Grisales-Noreña, “Power Flow Analysis in DC Grids: Two Alternative Numerical Methods,” IEEE Trans. Circ. Syst. II Exp. Briefs, vol. 66, no. 11, pp. 1865–1869, nov 2019. https://doi.org/10.1109/tcsii.2019.2891640
O. D. Montoya, “On the Existence of the Power Flow Solution in DC Grids With CPLs Through a Graph-Based Method,” IEEE Trans. Circ. Syst. II Exp. Briefs, vol. 67, no. 8, pp. 1434–1438, aug 2020. https://doi.org/10.1109/tcsii.2019.2937564
O. D. Montoya, L. F. Grisales-Noreña, and W. Gil-González, “Triangular Matrix Formulation for Power Flow Analysis in Radial DC Resistive Grids With CPLs,” IEEE Trans. Circ. Syst. II Exp. Briefs, vol. 67, no. 6, pp. 1094–1098, jun 2020. https://doi.org/10.1109/tcsii.2019.2927290
A. Garcés, “A Linear Three-Phase Load Flow for Power Distribution Systems,” IEEE Trans. Power Syst., vol. 31, no. 1, pp. 827–828, jan 2016. https://doi.org/10.1109/tpwrs.2015.2394296
How to Cite
APA
ACM
ACS
ABNT
Chicago
Harvard
IEEE
MLA
Turabian
Vancouver
Download Citation
License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
From the edition of the V23N3 of year 2018 forward, the Creative Commons License "Attribution-Non-Commercial - No Derivative Works " is changed to the following:
Attribution - Non-Commercial - Share the same: this license allows others to distribute, remix, retouch, and create from your work in a non-commercial way, as long as they give you credit and license their new creations under the same conditions.












