A New Current Injection Based Power Flow Formulation

Abstract This paper presents a novel current injection-based Newton-Raphson power flow algorithm with new PV bus representation for improving the convergence characteristics. In this proposed algorithm, rectangular coordinates are used to represent all non-linear current injection equations. Test results are produced to discuss the reasons behind the non-convergence of different PV bus representation schemes, also their performance comparison was done on the unbalanced 3-phase radial (18-Bus, 28-Bus, 84- Bus and 140-Bus) and meshed (6-Bus, 14-Bus, 24-Bus, 30-Bus, 57-Bus, 118-Bus and 300-bus, and 1354-Bus) test systems. Experimental results show that the proposed power flow method provides better convergence property for distribution system with a large number of PV buses. Also, the modification leads to a smaller Jacobian matrix and therefore reduces computational time.

[1]  T. Kulworawanichpong Simplified Newton–Raphson power-flow solution method , 2010 .

[2]  Vander Menengoy da Costa,et al.  A second order power flow based on current injection equations , 2005 .

[3]  Yuping Lu,et al.  A novel newton current equation method on power flow analysis in microgrid , 2009, 2009 IEEE Power & Energy Society General Meeting.

[4]  Salah Kamel,et al.  A Robust Power Flow Algorithm Based on Bulirsch–Stoer Method , 2019, IEEE Transactions on Power Systems.

[5]  Esther Romero-Ramos,et al.  Hybrid real–complex current injection-based load flow formulation , 2015 .

[6]  Dilson Amancio Alves,et al.  New representation of PV buses in the current injection Newton power flow , 2017 .

[7]  Sayed Yaser Derakhshandeh,et al.  A powerful method for solving the power flow problem in the ill-conditioned systems , 2018 .

[8]  Vander Menengoy da Costa,et al.  Developments in the analysis of unbalanced three-phase power flow solutions , 2007 .

[9]  Tsai-Hsiang Chen,et al.  Distribution system power flow analysis-a rigid approach , 1991 .

[10]  Salah Kamel,et al.  Development of combined Runge–Kutta Broyden's load flow approach for well‐ and ill‐conditioned power systems , 2018, IET Generation, Transmission & Distribution.

[11]  Sayed Yaser Derakhshandeh,et al.  Application of high-order Levenberg–Marquardt method for solving the power flow problem in the ill-conditioned systems , 2016 .

[12]  Salah Kamel,et al.  Several robust and efficient load flow techniques based on combined approach for ill-conditioned power systems , 2019, International Journal of Electrical Power & Energy Systems.

[13]  William F. Tinney,et al.  Power Flow Solution by Newton's Method , 1967 .

[14]  Fan Zhang,et al.  A modified Newton method for radial distribution system power flow analysis , 1997 .

[15]  N. Martins,et al.  Developments in the Newton Raphson power flow formulation based on current injections , 1999 .

[16]  Salah Kamel,et al.  Developed Newton-Raphson based Predictor-Corrector load flow approach with high convergence rate , 2019, International Journal of Electrical Power & Energy Systems.

[17]  N. Martins,et al.  An augmented Newton–Raphson power flow formulation based on current injections , 2001 .

[18]  Xu Wang,et al.  Three-Phase Distribution Power Flow Calculation for Loop-Based Microgrids , 2018, IEEE Transactions on Power Systems.

[19]  Jose Luiz Rezende Pereira,et al.  A new tool for multiphase electrical systems analysis based on current injection method , 2013 .

[20]  P.A.N. Garcia,et al.  Three-Phase Power Flow Based on Four-Conductor Current Injection Method for Unbalanced Distribution Networks , 2008, IEEE Transactions on Power Systems.

[21]  Salah Kamel,et al.  Development of different load flow methods for solving large‐scale ill‐conditioned systems , 2018, International Transactions on Electrical Energy Systems.

[22]  N. Martins,et al.  Three-phase power flow calculations using the current injection method , 2000 .

[23]  Sandoval Carneiro,et al.  Discussion of "Three-phase power flow calculations using the current injection method" [and reply] , 2000 .

[24]  S. G. Petoussis,et al.  Nonlinear interior-point optimal power flow method based on a current mismatch formulation , 2005 .

[25]  J.L.R. Pereira,et al.  Unbalanced distribution system power flow using the current injection method , 2000, 2000 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.00CH37077).

[26]  K. M. Nor,et al.  Improved three-phase power-flow methods using sequence components , 2005, IEEE Transactions on Power Systems.

[27]  J. Teng A modified Gauss–Seidel algorithm of three-phase power flow analysis in distribution networks , 2002 .

[28]  Salah Kamel,et al.  Improved NR current injection load flow using power mismatch representation of PV bus , 2013 .

[29]  Walmir Freitas,et al.  Phase-decoupled method for three-phase power-flow analysis of unbalanced distribution systems , 2004 .

[30]  Salah Kamel,et al.  A new technique to improve voltage controlled nodes (PV nodes) in the current injection Newton-Raphson power-flow analysis , 2010, 45th International Universities Power Engineering Conference UPEC2010.

[31]  R. Asensi,et al.  A contribution for three-phase power flows using the current injection method , 2000, Ninth International Conference on Harmonics and Quality of Power. Proceedings (Cat. No.00EX441).

[32]  F. V. Gomes,et al.  Improvements in the representation of PV buses on three-phase distribution power flow , 2004, IEEE Transactions on Power Delivery.