Paper Titles

Research on the Hydropower Frequency Control Strategy for Power Delivery Grid Splitting
p.641

The Analysis of Strategies for Large Thermal Power Unit Frequency Control after the Breakdown of Isolated Network in Sending-End Network
p.646

A New Reliability Evaluating Method for Distribution Network
p.651

Design and Implementation of the Medium and Long-Term Time Scale System Frequency Fluctuations Simulation Platform
p.656

Computing the Singular Solution of Power Flow System
p.660

Research on Grey Prediction of Electromagnetic Relay Contact Resistance
p.667

Design and Development of a 14-Pole High-Temperature Superconducting Filter at 127.5MHz
p.672

A New Duty Cycle Control Strategy for Digital Constant-Current LED Drive Based on Buck-Boost Topology
p.676

A Duty Cycle Adjustment Strategy for Embedded Boost Power Factor Correction
p.682

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 392Computing the Singular Solution of Power Flow...

Computing the Singular Solution of Power Flow System

Article Preview

Abstract:

The purpose of this paper is to compute the singular solution of the nonlinear equations arising in power flow system. Based on the approximate null space of the Jacobian matrix, more equations are introduced to the origin system. Meanwhile, the Jacobian matrix of augmented equations at initial value is full rank, then the algorithm recovers quadratic convergence of Newtons iteration. The algorithm in this paper leads to higher accuracy of the singular solution and less iteration steps. In addition, two power flow systems are studied in this paper and the results show this new method has high accuracy and efficiency compared with traditional Newton iteration

You might also be interested in these eBooks

Mechanical and Electrical Technology V

Info:

Periodical:

Applied Mechanics and Materials (Volume 392)

Pages:

660-664

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.392.660

Citation:

Cite this paper

Online since:

September 2013

Authors:

Zhen Yi Ji, Wen Yuan Wu, Yi Li, Yong Feng

Keywords:

Deflation Algorithm, Newton Method, Power Flow System

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] F. M. Salam A, L. Ni, S. Guo, and X. Sun. in: Proceedings of IEEE 28th conference on decision and control in MI, USA, (1989).

[2] Buchberger.B. in: Multidimensional Systems Theory - Progress, Directions and Open Problems in Multidimensional Systems, 1985, pp.184-232.

[3] Wu W. -T. Math Mech Res, Preprints, No. 1, 1987, p.2–12.

[4] Kapur D, Saxent T, Yang L. in: Proceedings of International Symposium on Symbolic and Algebraic Computation (1994).

[5] Tinney.W. F and Hart. C.E. IEEE transactions on power apparatus and systems (1967).

[6] Stott.B. In: Proc. Inst. Elect. Eng (1971).

[7] Mary Tolikas, Ljiljana, Trajkovic, Marija D. Ilic. IEEE International Symposium on Circuits and Systems. vol. 6 (1992), pp.2833-2839.

[8] Kohshi Okumura, Kenji Terai and Akira Kishima. IEEE international symposium on circuits and systems, 1991, pp.2897-2899.

[9] Federico Milano. IEEE transactions on power systems. Vol. 24 No. 1, 2009, pp.50-57.

[10] Sasson A M. IEEE transaction on power apparatus and system, Vol. AS-90 No. 5, 1971, p.1974-(1981).

[11] Tripathy S. C et al. IEEE power & energy society, Vol. pas-101 No. 10, 1982, pp.3648-3657.

[12] Leykin, A., Verschelde, J and J, Zhao. Journal of Theoretical Computer Science. Vo. 359 No. 1, 2006, pp.111-122.

[13] Dayton, B, Li, T and Zeng, Z. Mathematics of Computation, Vol. 80, 2011, pp.2143-2168.

[14] T. Ojika, S. Watanabe, T. Mitsui. J. Math. Anal. Appl. 96 (1983), p.463–479.

[15] T. Ojika. J. Math. Anal. Appl. 123 (1987), p.199–221.

[16] T. Ojika. J. Math. Anal. Appl. 123 (1987), p.222–237.

[17] T. Ojika. Appl. Numer. Math. 4 (1988), p.419–430.

[18] X. WU, L. ZHI. In: Proceedings of International Symposium on Symbolic and Algebraic Computation(2008).

[19] LI, N., ZHI, L. SIAM Journal on Numerical Analysis. Vol, 50, 2011, pp.354-372.