Abstract
In this chapter, a hybrid dynamic equivalent consisting of both a coherency-based conventional equivalent and an artificial neural network (ANN)-based equivalent is developed and analyzed. The ANN-based equivalent complements the coherency-based equivalent at all the boundary buses of the retained area. It is designed to compensate for the discrepancy between the full system model and the reduced equivalent developed using any commercial software package, such as the dynamic reduction program (DYNRED), by providing appropriate power injections at all the boundary buses. These injections are provided by the ANN-based equivalent which is trained using the outputs from a trajectory sensitivity simulation of the system responses to a candidate set of disturbances. The proposed approach is tested on a system representing a portion of the Western Electricity Coordinating Council (WECC) system. The case study shows that the hybrid dynamic equivalent can enhance the accuracy of the coherency-based dynamic equivalent without significantly increasing the computational effort.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S.T.Y. Lee, F.C. Schweppe, Distance measures and coherency recognition for transient stability equivalents. IEEE Trans. Power Apparatus Syst. PAS-92(5), 1550–1557 (1973).
R. Nath, S.S. Lamba, K.S.P. Rao, Coherency based system decomposition into study and external areas using weak coupling. IEEE Trans. Power Apparatus Syst. PAS–104, 1443–1449 (1995).
J.H. Chow, J.R. Winkelman, M.A. Pai, P.W. Sauer, Model reduction and energy function analysis of power system using singular perturbation techniques. in Proceedings of 25th IEEE Conference on Decision and, Control, 1206–1211 (1986).
P. Kundur, G.J. Rogers, D.Y. Wong, J. Ottevangers, L. Wang, Dynamic reduction. EPRI, Palo Alto, CA, Tech. Rep. TR-102234 Project 2447–01 (1993).
R. Podmore, Identification of coherent generators for dynamic equivalents. IEEE Trans. Power Apparatus Syst. PAS-97, 1344–1354 (1978).
R. Podmore, A. Germond, Development of dynamic equivalent for transient stability studies. EPRI EL-456 Project 763, (1977).
M.L. Ourari, L.A. Dessaint, V.Q. Do, Dynamic equivalent modeling of large power systems using structure preservation technique. IEEE Trans. Power Syst. 21(3), 1284–1295 (2006)
S.K. Joo, C.C. Liu, L.E. Jones, J.W. Choe, Coherency and aggregation techniques incorporating rotor and voltage dynamics. IEEE Trans. Power Syst. 19(2), 1068–1075 (2004)
A.M. Stankovic, A.T. Saric, M. Milosevic, Identification of non-parametric dynamic power system equivalents with artificial neural networks. IEEE Trans. Power Syst. 18(4), 1478–1486 (2003)
H. Shakouri, H.R. Radmanesh, Identification of a continuous time nonlinear state space model for the external power system dynamic equivalent by neural networks. Electr. Power Energy Syst. 31, 334–344 (2009)
A.M. Azmy, I. Erlich, P. Sowa, Artificial neural network-based dynamic equivalents for distribution systems containing active sources. in Proceedings of IEE Generation. Transmission, and. Distribution 151(6), 681–688 (2004)
T.B. Nguyen, M.A. Pai, Dynamic security-constrained rescheduling of power systems using trajectory sensitivities. IEEE Trans. Power Syst. 18(2), 848–854 (2003)
A. Zamora-Cardenas, C.R. Fuerte-Esquivel, Multi-parameter trajectory sensitivity approach for location of series-connected controllers to enhance power system transient stability. Electr. Power Syst. Res. 80(9), 1096–1103 (2010)
L. Wang, G. Zhang, DYNRED enhancement project. EPRI, Palo Alto, CA, Tech. Rep. for Software Product ID 1020268, (2010).
F. Ma, V. Vittal, Right-sized power system dynamic equivalents for power system operation. IEEE Trans. Power Syst. 26(4), 1998–2005 (2011)
F. Ma, X. Luo, V. Vittal, Application of dynamic equivalencing in large-scale power systems. in Proceedings of IEEE PES 2011 General Meeting, Detroit, MI, July 24–29, (2011).
S.S. Haykin, Neural Networks: A Comprehensive Foundation (Prentice-Hall, Englewood Cliffs, 1999)
Neural Network Toolbox, for use with MATLAB User’s Guide, Version7, The Math Works Inc, 2010.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media New York
About this chapter
Cite this chapter
Vittal, V., Ma, F. (2013). A Hybrid Dynamic Equivalent Using ANN-Based Boundary Matching Technique. In: Chow, J. (eds) Power System Coherency and Model Reduction. Power Electronics and Power Systems, vol 94. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1803-0_5
Download citation
DOI: https://doi.org/10.1007/978-1-4614-1803-0_5
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-1802-3
Online ISBN: 978-1-4614-1803-0
eBook Packages: EnergyEnergy (R0)