Improved Robustness of Sequential Three Phase Power Flow Using Homotopic Method


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Abstract


Driven by environmental concerns and fluctuations of electric energy cost, the integration of distributed generators (DGs) into distribution networks close to the loads, has gained its importance and emerged as complementary to the conventional central power plants. However, the proliferation of distributed generators (DGs) has altered a distribution network from a passive system to an active one. Hence, modifications in the existing distribution power flow methods are needed to account for a DG unit, which can operate either as a PV or PQ bus. Among these methods, the Sequential Power Flow (SPF) method can readily accommodate for PV buses as long as the DG models in the sequence-component frame can be formulated. However, the convergence of SPF is heavily dependent on the choice of initial conditions. Moreover, when the resistance-to-reactance ratio (or R/X) is high, SPF will also diverge. This paper presents a new robust three-phase distribution power flow, which incorporates a homotopic method into the SPF method to overcome these problems. An IEEE benchmark system is used to test the validity and robustness of the proposed algorithm
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Keywords


Power Flow; PV Buses; Distributed Generation; Active Distribution Systems; Homotopic Methods

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References


M. Kamh and R. Iravani, “Unbalanced model and power-flow analysis of microgrids and active distribution systems,” IEEE Transactions on Power Delivery, vol. 25, no. 4, pp. 2851 –2858, oct. 2010.

V. Q. Nguyen and H. B. Gooi, “Thermal effect on state estimation in microgrids,” IPEC, Singapore, pp. 848–852, Oct. 27-29 2010.

T. Baldwin and S. Lewis, “Distribution load flow methods for shipboard power systems,” IEEE Transactions on Industry Applications, vol. 40, no. 5, pp. 1183–1190, 2004.

J. A. Martinez and J. Mahseredjian, “Load flow calculations in distribution systems with distributed resources,” A review. IEEE Power and Energy Society General Meeting, Detroit Michigan, USA, July 24-29, 2011.

S. Moghaddas-Tafreshi and E. Mashhour, “Distributed generation modeling for power flow studies and a three-phase unbalanced power flow solution for radial distribution systems considering distributed generation,” Electric Power Systems Research, vol. 79(4), pp. 680–686, 2009.

Prasad Raju, A., Amarnath, J., Subbarayudu, D., Computation of first order derivatives using Automatic Differentiation in power flow analysis, (2011) International Review on Modelling and Simulations (IREMOS), 4 (3), pp. 971-979.

Ivanovic, B.B., Jankovic, S.S., An approach to power flow calculation through small or zero impedance lines, (2012) International Review on Modelling and Simulations (IREMOS), 5 (2), pp. 731-742.

T. Chen and et al, “Distribution system power flow analysis-a rigid approach,” IEEE Transactions on Power Delivery, vol. 6, no. 3, pp. 1146– 1152, 1991.

W. Kersting, Distribution System Modeling and Analysis. CRC Press, 2002.

J.-H. Teng and C.-Y. Chang, “A novel and fast three-phase load flow for unbalanced radial distribution systems,” IEEE Transactions on Power Systems, vol. 17, no. 4, pp. 1238 – 1244, Nov. 2002.

T. Chen and N. Yang, “Three-phase power-flow by direct zbr method for unbalanced radial distribution systems,” IET Generation, Transmission and Distribution, vol. 3, no. 10, pp. 903–910, 2009.

K. Lo and C. Zhang, “Decomposed three-phase power flow solution using the sequence component frame,” IEE Proceedings, Generation, Transmission and Distribution, vol. 140, no. 3, pp. 181–188, 1993.

X. P. Zhang, “Fast three phase load flow methods,” IEEE Trans. Power Syst, vol. 11, no. 3, pp. 1547–1553, 1996.

M. Abdel-Akher, K. Nor, and A. Rashid, “Improved three-phase power-flow methods using sequence components,” IEEE Transactions on Power Systems, vol. 20, no. 3, pp. 1389 – 1397, Aug. 2005.

M. Kamh and R. Iravani, “A unified three-phase power-flow analysis model for electronically coupled distributed energy resources,” IEEE Transactions on Power Delivery, vol. 26, no. 2, pp. 899 –909, April 2011.

“Three-phase steady-state model of type-3 wind generation unit– ;part i: Mathematical models,” IEEE Transactions on Sustainable Energy, vol. 2, no. 4, pp. 477 –486, Oct. 2011.

M. Baran and F. Wu, “Optimal sizing of capacitors placed on a radial distribution system,” IEEE Transactions on Power Delivery, vol. 4, no. 1, pp. 735 –743, Jan. 1989.

C. S. d. C. V. M. Garcia P. A. N., Pereira J. L. R. and M. N., “Three-phase power flow calculations using the current injection method,” IEEE Transactions on Power Systems , vol. 15, no. 2, pp. 508 – 514, May 2000.

M. N. da Costa, V. M. and J. L. R. Pereira, “Developments in newton raphson power flow formulation based on current injections,” IEEE Transactions on Power Systems, vol. 14, no. 4, pp. 1320 – 1326, Nov. 1999.

Elaheh Mashhour1, S.M. Moghaddas-Tafreshi, Three-Phase Distribution Power Flow Solution Considering Symmetrical and Unsymmetrical Three-Phase Voltage Control Mode of PV Nodes, (2009) International Review on Modelling and Simulations (IREMOS), 2 (2), pp. 137-143.

C. T. S. Fang D. Z., Song W. N., “A modification to the fast decoupled load flow for power system with low x/r ratio branches,” 2nd International Conference on Advances in Power System Control, Operation and Management, vol. 1, pp. 279–284, Dec. 1993.

J. Tate and T. Overbye, “A comparison of the optimal multiplier in polar and rectangular coordinates,” IEEE Transactions on Power Systems, vol. 20, no. 4, pp. 1667 – 1674, Nov. 2005.

J. Tate, “A comparison of the optimal multiplier in polar and rectangular coordinates,” IEEE Transactions on Power Systems , vol. 20, no. 4, pp. 1667 – 1674, Nov. 2005.

S. Iwamoto and Y. Tamura, “A load flow calculation method for ill-conditioned power systems,” IEEE Transactions on Power Apparatus and Systems, vol. 100, no. 4, pp. 736 –1743, April 1981.

P. Bijwe and S. Kelapure, “Nondivergent fast power flow methods,” IEEE Transactions on Power Systems, vol. 18, no. 2, pp. 633 – 638, May 2003.

D. Wolf and S. Sanders, “Multiparameter homotopy methods for finding dc operating points of nonlinear circuits,” Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on , vol. 43, no. 10, pp. 824 –838, oct 1996.

K. Okumura, K. Terai, and A. Kishima, “Solution of ill-conditioned load flow equation by homotopy continuation method,” IEEE International Sympoisum on Circuits and System, pp. 2897 –2899 vol.5, jun 1991.

T. Overbye, “A power flow measure for unsolvable cases,” IEEE Transactions on Power Systems, vol. 9, no. 3, pp. 1359 –1365, aug 1994.

M. Schaffer and D. Tylavsky, “A nondiverging polar-form newton-based power flow,” IEEE Transactions on Industry Applications , vol. 24, no. 5, pp. 870 –877, Sep/Oct 1988.

J. Lee and H.-D. Chiang, “Convergent regions of the newton homotopy method for nonlinear systems: theory and computational applications,” IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 48, no. 1, pp. 51 –66, Jan. 2001.

H.-D. Chiang, A. Flueck, K. Shah, and N. Balu, “Cpflow: a practical tool for tracing power system steady-state stationary behavior due to load and generation variations,” IEEE Transactions on Power Systems, vol. 10, no. 2, pp. 623 –634, May 1995.

X.-P. Zhang, P. Ju, and E. Handschin, “Continuation three-phase power flow: A tool for voltage stability analysis of unbalanced three-phase power systems,” IEEE Transactions on Power Systems, vol. 20, no. 3, pp. 1320 – 1329, Aug. 2005.

L. Braz, C. Castro, and C. Murati, “A critical evaluation of step size optimization based load flow methods,” IEEE Transactions on Power Systems, vol. 15, no. 1, pp. 202 –207, Feb 2000.

D. Alves, L. da Silva, C. Castro, and V. da Costa, “Continuation fast decoupled power flow with secant predictor,” IEEE Transactions on Power Systems, vol. 18, no. 3, pp. 1078 – 1085, Aug. 2003.

N. Yorino, H.-Q. Li, and H. Sasaki, “A predictor/corrector scheme for obtaining q-limit points for power flow studies,” IEEE Transactions on Power Systems, vol. 20, no. 1, pp. 130 – 137, feb. 2005.

A. Dukpa, B. Venkatesh, and M. El-Hawary, “Application of continuation power flow method in radial distribution systems,” Electric Power Systems Research, vol. 79, no. 11, pp. 1503 – 1510, 2009.

S.-H. Li and H.-D. Chiang, “Continuation power flow with nonlinear power injection variations: A piecewise linear approximation,” IEEE Transactions on Power Systems, vol. 23, no. 4, pp. 1637 –1643, nov. 2008.

V. Ajjarapu and C. Christy, “The continuation power flow: a tool for steady state voltage stability analysis,” IEEE Transactions on Power Systems, vol. 7, no. 1, pp. 416 –423, Feb 1992.

P. Sauer and M. Pai, “Maximum loadability and voltage stability in power systems,” International Journal of Electrical Power and Energy Systems, vol. 15, no. 3, pp. 145 – 153, 1993.

K. Iba, H. Suzuki, M. Egawa, and T. Watanabe, “Calculation of critical loading condition with nose curve using homotopy continuation method,” IEEE Transactions on Power Systems, vol. 6, no. 2, pp. 584 –593, May 1991.

C.-W. Liu, C.-S. Chang, J.-A. Jiang, and G.-H. Yeh, “Toward a cpflow-based algorithm to compute all the type-1 load-flow solutions in electric power systems,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 52, no. 3, pp. 625 – 630, March 2005.

P. Sauer and M. Pai, “Power system steady-state stability and the load-flow Jacobian,” IEEE Transactions on Power Systems, vol. 5, no. 4, pp. 1374 –1383, Nov. 1990.

R. Ponrajah and F. Galiana, “The minimum cost optimal power flow problem solved via the restart homotopy continuation method,” IEEE Transactions on Power Systems, vol. 4, no. 1, pp. 139 –148, Feb. 1989.

A. Flueck and J. Dondeti, “A new continuation power flow tool for investigating the nonlinear effects of transmission branch parameter variations,” IEEE Transactions on Power Systems, vol. 15, no. 1, pp. 223 –227, Feb. 2000.

M. Tolikas, L. Trajkovic, and M. Ilic, “Homotopy methods for solving decoupled power flow equations,” ISCAS’92, vol. 6, pp. 2833 –2839 vol.6, may 1992.

L. G. S. F.M.A., Ni and X. Sun, “Parallel processing for the load flow of power systems: the approach and applications,” Proceedings of the 28th IEEE Conference on Decision and Control, vol. 3, no. 0, pp. 2173–2178, Aug. 2005.

H. Saadat, Power System Analysis, McGraw-Hill Education, 2004.

R. L. Burden and J. D. Faires, Numerical Analysis, Brooks/Cole, 9th edition, 2010.

F. Katiraei and M. Iravani, “Power management strategies for a micro-grid with multiple distributed generation units,” IEEE Transactions on Power Systems, vol. 21, no. 4, pp. 821–1831, 2006.

http://etap.com/.

https://pscad.com/.

M. El-Arini, “Decoupled power flow solution method for well-conditioned and ill-conditioned power systems,” IEE Proceedings C: Generation, Transmission and Distribution, vol. 140, no. 1, pp. 7 –10, jan 1993.

P. Aravindhababu and R. Ashokkumar, “A robust decoupled power flow for distribution systems,” Energy Conversion and Management, vol. 52, no. 4, pp. 1930 – 1933, 2011.


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