Improving power flow robustness via circuit simulation methods

Recent advances in power system simulation have included the use of complex rectangular current and voltage (I-V) variables for solving the power flow and three-phase power flow problems. This formulation has demonstrated superior convergence properties over conventional polar coordinate based formulations for three-phase power flow, but has failed to replicate the same advantages for power flow in general due to convergence issues with systems containing PV buses. In this paper, we demonstrate how circuit simulation techniques can provide robust convergence for any complex I-V formulation that is derived from our split equivalent circuit representation. Application to power grid test systems with up to 104 buses demonstrates consistent global convergence to the correct physical solution from arbitrary initial conditions.

[1]  Gabriela Hug,et al.  An equivalent circuit formulation for three-phase power flow analysis of distribution systems , 2016, 2016 IEEE/PES Transmission and Distribution Conference and Exposition (T&D).

[2]  Pragasen Pillay,et al.  D,Q reference frames for the simulation of induction motors , 1984 .

[3]  Whei-Min Lin,et al.  Multiple-frequency three-phase load flow for harmonic analysis , 2004, IEEE Transactions on Power Systems.

[4]  Gabriela Hug,et al.  Aggregated load and generation equivalent circuit models with semi-empirical data fitting , 2016, 2016 IEEE Green Energy and Systems Conference (IGSEC).

[5]  Gabriela Hug,et al.  Unified power system analyses and models using equivalent circuit formulation , 2016, 2016 IEEE Power & Energy Society Innovative Smart Grid Technologies Conference (ISGT).

[6]  M. B. Cain,et al.  History of Optimal Power Flow and Formulations , 2012 .

[7]  Gabriela Hug,et al.  Steady-state analysis of power system harmonics using equivalent split-circuit models , 2016, 2016 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT-Europe).

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

[9]  Gabriela Hug,et al.  An equivalent circuit formulation of the power flow problem with current and voltage state variables , 2015, 2015 IEEE Eindhoven PowerTech.

[10]  Michael M. Green,et al.  Using continuation methods to improve convergence of circuits with high impedance nodes , 2000, 2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353).

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

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

[13]  Gabriela Hug,et al.  Improving robustness and modeling generality for power flow analysis , 2016, 2016 IEEE/PES Transmission and Distribution Conference and Exposition (T&D).