Performance analysis of Newton-Raphson Power flow computations based on Power and Current Mismatches
This work studies the performance of single-phase power flow computations implemented using vector-based Python scripting language. Two approaches are considered, namely the current mismatch and power mismatch based on Newton-Raphson method. Both approaches are developed using rectangular coordinates and tested through a variety of IEEE test systems modelling high voltage transmission networks. The computational burden and accuracy of both implementations are duly discussed. This work will be later incorporated into our vector-based Non-linear Primal-Dual Interior Point Method as constraints.
F. L. Alvarado, "Solving power flow problems with a Matlab implementation of the power system applications data dictionary", Decision Support Systems, vol. 30, pp. 243-54, 2001.
F. Milano, "An Open-Source Power System Analysis Toolbox," in IEEE Transactions on Power Systems, vol. 20, no. 3, pp. 1199-1206, Aug. 2005.
R. D. Zimmerman, C. E. Murillo-Sanchez and R. J. Thomas, "MATPOWER: Steady-State Operations, Planning, and Analysis Tools for Power Systems Research and Education," in IEEE Transactions on Power Systems, vol. 26, no. 1, pp. 12-19, Feb. 2011.
F. Milano, "A Python-based software tool for power system analysis," 2013 IEEE Power & Energy Society General Meeting, Vancouver, BC, 2013, pp. 1-5.
Tinney, W.F., Hart, C.E., “Power flow solution by Newton’s Method,” IEEE Trans. On Power Apparatus and Systems, vol. PAS-86, no. 11, Nov. 1967, pp. 1449-1460.
Stott, B., Alsac, O., “Fast decoupled load flow,” IEEE Trans. On Power Apparatus and System, vol. PAS-93, no. 3, May 1974, pp. 859-862.
Da Costa, V.M., Martins, N., Pereira, J.L.R., “Developments in the Newton Raphson power flow formulation based on current injections,” IEEE Trans. On Power Systems, vol. 14, no. 4, Nov. 1999, pp. 1320-1326.
Ferreira, C.A., Da Costa, V.M., “A second order power flow based on current injection equations,” Int’l Journal of Electrical Power and Energy Systems, vol. 27, no. 4, May 2005, pp. 254-263.
Exposito, A.G., Ramos, E.R., Dzafic, I., “Hybrid real-complex current injection-based load flow formulation,” Electric Power Systems Research, vol. 119, Feb. 2015, pp. 237-246.
Milano, F., “On current and power injection models for angle and voltage stability analysis of power systems,” IEEE Trans. on Power Systems, vol. 31, no. 3, May 2016, pp. 2503-2504.
Da Costa, V.M., Rosa, A.L.S., “A comparative anlysis of different power flow methodologies,” Proc. of 2008 IEEE/PES Trans. and Dist. Conference and Exposition: Latin America, 13-15 Aug. 2008, pp. 1090-1096.
Kamel, S., Abdel-Akher, M., Jurado, F., “Improved NR current injection load flow using power mismatch representation of PV bus,” Electrical Power and Energy Systems, vol. 53, Dec. 2013, pp. 64-68.
Garcia, P.A.N., Pereira, J.L.R., Cameiro Jr, S., Vinagre, M.P., Gomes, F.V., “Improvements in the representation of PV buses on three-phase distribution power flow,” IEEE Trans. on Power Delivery, vol. 19, no. 2, April 2004, pp. 894-896.
Oliveira, C.C., Bonini Neto, A., Minussi, C.R., Alves, D.A., Castro, C.A., “New representation of PV buses in the current injection Newton power flow,” Electrical Power and Energy Systems, vol. 90, 2017, pp. 237-244.
Jones E, Oliphant E, Peterson P, et al., “SciPy: Open-Source Scientific Tools for Python,” 2001-, URL: http://www.scipy.org/ [Online; accessed 2017-04-15].
Van der Walt, S., Colbert, S.C., Varoquaux, G., “The NumPy Array: a Structure for Efficient Numerical Computation,” Computing in Science and Engineering, vol. 13, no. 2, March 2011, pp. 22-30.
University of Washington, “Power System Test Archive,” Aug. 1999, URL: http://www2.ee.washington.edu/research/pstca/, [Online; accessed 2020-04-12]