A mixed-integer convex approximation for optimal load redistribution in bipolar DC networks with multiple constant power terminals

Zaimovic, 2019, Setting speed-limit on industry 4.0 – an outlook of power-mix and grid capacity challenge, Procedia Comput. Sci., 158, 107, 10.1016/j.procs.2019.09.033 Aljinović, 2021, Optimization of industry 4.0 implementation selection process towards enhancement of a manual assembly line, Energies, 15, 30, 10.3390/en15010030 Zhu, 2016, Topology and operation mechanism of monopolar-to-bipolar DC-DC converter interface for DC grid Gil-González, 2019, Economic dispatch of energy storage systems in dc microgrids employing a semidefinite programming model, J. Energy Storage, 21, 1, 10.1016/j.est.2018.10.025 Guo, 2022, Coordinated control of voltage balancers for the regulation of unbalanced voltage in a multi-node bipolar DC distribution network, Electronics, 11, 166, 10.3390/electronics11010166 Yang, 2020, Unbalanced voltage control of bipolar DC microgrid based on distributed cooperative control S. K. Khairnar, S. S. Hadpe, R. G. Shriwastava, S. S. Khule, Fault detection and diagnosis of monopolar configured VSC based high voltage direct current transmission line, Global Transitions Proceedings doi:10.1016/j.gltp.2022.04.010. Rivera, 2020, Bipolar dc power conversion: state-of-the-art and emerging technologies, IEEE J. Emerg. Selected Topics Power Electron., 9, 1192, 10.1109/JESTPE.2020.2980994 Lee, 2022, Generic power flow algorithm for bipolar DC microgrids based on Newton–Raphson method, Int. J. Electr. Power Energy Syst., 142 Montoya, 2022, A successive approximations method for power flow analysis in bipolar dc networks with asymmetric constant power terminals, Elec. Power Syst. Res., 211, 10.1016/j.epsr.2022.108264 Medina-Quesada, 2022, Derivative-free power flow solution for bipolar DC networks with multiple constant power terminals, Sensors, 22, 2914, 10.3390/s22082914 Garcés, 2022, Power flow in bipolar DC distribution networks considering current limits, IEEE Trans. Power Syst., 37, 4098, 10.1109/TPWRS.2022.3181851 Montoya, 2022, A successive approximations method for power flow analysis in bipolar DC networks with asymmetric constant power terminals, Elec. Power Syst. Res., 211, 10.1016/j.epsr.2022.108264 Kim, 2020, Power flow calculation method of DC distribution network for actual power system, KEPCO J. Electric Power Energy, 6, 419 Lee, 2022, Optimal power flow for bipolar DC microgrids, Int. J. Electr. Power Energy Syst., 142 Liao, 2021, Load-switching strategy for voltage balancing of bipolar DC distribution networks based on optimal automatic commutation algorithm, IEEE Trans. Smart Grid, 12, 2966, 10.1109/TSG.2021.3057852 Chew, 2018, Voltage balancing for bipolar DC distribution grids: a power flow based binary integer multi-objective optimization approach, IEEE Trans. Power Syst., 34, 28, 10.1109/TPWRS.2018.2866817 Mackay, 2018, Optimal power flow for unbalanced bipolar DC distribution grids, IEEE Access, 6, 5199, 10.1109/ACCESS.2018.2789522 Lee, 2021, Current injection power flow analysis and optimal generation dispatch for bipolar DC microgrids, IEEE Trans. Smart Grid, 12, 1918, 10.1109/TSG.2020.3046733 Montoya, 2021, Optimal demand reconfiguration in three-phase distribution grids using an MI-convex model, Symmetry, 13, 1124, 10.3390/sym13071124 Lubin, 2017, Polyhedral approximation in mixed-integer convex optimization, Math. Program., 172, 139 Marini, 2019, An efficient graph-based power flow algorithm for electrical distribution systems with a comprehensive modeling of distributed generations, Elec. Power Syst. Res., 170, 229, 10.1016/j.epsr.2018.12.026 Garces, 2018, On the convergence of Newton's method in power flow studies for DC microgrids, IEEE Trans. Power Syst., 33, 5770, 10.1109/TPWRS.2018.2820430 Montoya, 2022, Optimal Pole-swapping in bipolar DC networks using discrete metaheuristic optimizers, Electronics, 11, 2034, 10.3390/electronics11132034 Montoya, 2021, Operating cost reduction in distribution networks based on the optimal phase-swapping including the costs of the working groups and energy losses, Energies, 14, 4535, 10.3390/en14154535 Montoya, 2019, Economic dispatch of BESS and renewable generators in DC microgrids using voltage-dependent load models, Energies, 12, 4494, 10.3390/en12234494