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power flow problem; Newton-Raphson method; solvability; scaling parameter

References:

[1] Allgower, E. L., Georg, K.: **Numerical Continuation Methods: An Introduction**. Springer Series in Computational Mathematics 13. Springer, Berlin (1990). DOI 10.1007/978-3-642-61257-2 | MR 1059455 | Zbl 0717.65030

[2] Chiang, H.-D., Wang, T.: **Novel homotopy theory for nonlinear networks and systems and its applications to electrical grids**. IEEE Trans. Control Netw. Syst. 5 (2018), 1051-1060. DOI 10.1109/TCNS.2017.2673540 | MR 3860992 | Zbl 07044971

[3] Dontchev, A. L., Rockafellar, R. T.: **Implicit Functions and Solution Mappings: A View from Variational Analysis**. Springer Monographs in Mathematics. Springer, New York (2009). DOI 10.1007/978-0-387-87821-8 | MR 2515104 | Zbl 1178.26001

[4] Dörfler, F., Simpson-Porco, J. W., Bullo, F.: **Electrical networks and algebraic graph theory: Models, properties, and applications**. Proc. IEEE 106 (2018), 977-1005. DOI 10.1109/JPROC.2018.2821924

[5] Garcés, A.: **Uniqueness of the power flow solutions in low voltage direct current grids**. Electric Power Systems Research 151 (2017), 149-153. DOI 10.1016/j.epsr.2017.05.031

[6] Garcés, A.: **On the convergence of Newton's method in power flow studies for DC microgrids**. IEEE Trans. Power Syst. 33 (2018), 5770-5777. DOI 10.1109/TPWRS.2018.2820430

[7] Garcés, A., Montoya, O.-D.: **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 Automation Electr. Syst. 30 (2019), 794-801. DOI 10.1007/s40313-019-00489-4

[8] Ho, C.-W., Ruehli, A., Brennan, P.: **The modified nodal approach to network analysis**. IEEE Trans. Circuits Syst. 22 (1975), 504-509. DOI 10.1109/TCS.1975.1084079

[9] Center, Institute of Transportation Systems at the German Aerospace: **Eclipse SUMO - Simulation of Urban MObility**. Available at https://www.eclipse.org/sumo/ (2021).

[10] Jayarathna, C., Binduhewa, P., Ekanayake, J., Wu, J.: **Load flow analysis of low voltage DC networks with photovoltaic**. 2014 9th International Conference on Industrial and Information Systems (ICIIS) IEEE, Piscataway (2014), 536-541. DOI 10.1109/ICIINFS.2014.7036566

[11] Ku, B.-Y., Liu, J.-S.: **Solution of DC power flow for nongrounded traction systems using chain-rule reduction of ladder circuit Jacobian matrices**. ASME/IEEE Joint Conference on Rail IEEE, Piscataway (2002), 123-130. DOI 10.1109/RRCON.2002.1000104

[12] P. A. Lopez, M. Behrisch, L. Bieker-Walz, J. Erdmann, Y.-P. Flötteröd, R. Hilbrich, L. Lücken, J. Rummel, P. Wagner, E. Wiessner: **Microscopic traffic simulation using SUMO**. 21st IEEE International Conference on Intelligent Transportation Systems IEEE, Piscataway (2018), 2575-2582. DOI 10.1109/ITSC.2018.8569938

[13] Montoya, O. D., Grisales-Noreña, L. F., González-Montoya, D., Ramos-Paja, C. A., Garcés, A.: **Linear power flow formulation for low-voltage DC power grids**. Electric Power Systems Research 163 (2018), 375-381. DOI 10.1016/j.epsr.2018.07.003

[14] M. Salih, D. Baumeister, M. Wazifehdust, P. Steinbusch, M. Zdrallek, S. Mour, P. Deskovic, T. Küll, C. Troullier: **Impact assessment of integrating novel battery-trolleybuses, PV units and EV charging stations in a DC trolleybus network**. 2nd E-Mobility Power System Integration Symposium KTH-Royal Institute of Technology, Stockholm (2018), 1-6.

[15] Sevcik, J., J.Prikryl: **A vehicle device tailored for hybrid trolleybuses and overhead wires implementation in SUMO**. SUMO User Conference 2019 M. Weber et al. EPiC Series in Computing. EasyChair (2019), 145-157. DOI 10.29007/6pqr

[16] Taheri, S., Kekatos, V.: **Power flow solvers for direct current networks**. IEEE Trans. Smart Grid 11 (2020), 634-643. DOI 10.1109/TSG.2019.2927455

[17] Tan, C. W., Cai, D. W. H., Lou, X.: **DC optimal power flow: Uniqueness and algorithms**. 2012 IEEE Third International Conference on Smart Grid Communications IEEE, Piscataway (2012), 641-646. DOI 10.1109/SmartGridComm.2012.6486058

[18] Zhou, E., Nasle, A.: **Simulation of DC power distribution systems**. Proceedings of Industrial and Commercial Power Systems Conference IEEE, Piscataway (1994), 191-195. DOI 10.1109/ICPS.1994.303572