Slack Bus Modeling and Cost Analysis of Distributed Generator Installations
Publication: Journal of Energy Engineering
Volume 133, Issue 3
Abstract
The installation and operation of distributed generators (DGs) has great potential for local utilities to improve distribution system reliability and lower their operating and expansion planning costs. To evaluate this potential, distribution system analyses must reflect its new operating environment with significant DG. Resulting tools can be utilized by both utilities and DG owners to improve their decision making algorithms. As such, this work investigates two different slack bus models for unbalanced distribution power flow and their impacts on subsequent cost analysis. The models include the traditional single slack bus model which assigns the substation as the slack bus and a distributed slack bus model which assigns slack to the substation and DGs according to network-based participation factors. Detailed expressions for cost analysis which directly depend on the distributed slack bus model are presented and discussed. Simulations illustrate that the different slack bus models have significant impacts on cost analysis. The difference in estimated annual profit for local utilities reached up to 265% using the different slack models.
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Acknowledgments
The writers would like to acknowledge support from the following grants: Office of Naval Research, Grant Nos. ONRN0014-01-1-0760 and ONRN0014-04-1-0404 and the National Science Foundation Grant No. NSFECS-9984692.
References
Ackermann, T., Andersson, G., and Soder, L. (2001). “Distributed generation: A definition.” Electr. Power Syst. Res., 57, 195–204.
Barker, P. P., and De Mello, R. W. (2000). “Determining the impact of distributed generation on power systems. I. Radial distribution systems.” Proc., 2000 IEEE Power Engineering Society Summer Meeting, Vol. 3, IEEE, Seattle, 1645–1656.
Calovic, M. S., and Strezoski, V. C. (1981). “Calculation of steady-state load flows incorporating system control effects and consumer self-regulating characteristics.” Int. J. Electr. Power Energy Syst., 3(2), 65–74.
Chen, T., Chen, M., Inoue, T., and Kotas, P. (1991). “Three-phase cogenerator and transformer models for distribution system analysis.” IEEE Trans. Power Deliv., 6(4), 1671–1681.
Commerce Energy. (2006). “Michigan market-glossary of terms.” ⟨http://www.commerceenergy.com/states/miglossary.htm⟩.
Kersting, W. H. (2002). Distribution system modeling and analysis, CRC LLC, Boca Raton, Fla.
Kirschen, D., Allan, R., and Strbac, G. (1997). “Contribution of Individual Generators to Loads and Flows.” IEEE Trans. on Power Systems, 12(1), 52–60.
Lasseter, R., et al. (2002). “Integration of distributed energy resources-The CERTS microGrid concept—Appendices.” Consortium for Electric Reliability Technology Solutions (CERTS) Rep., April 9–10.
Li, S., Tomsovic, K., and Hiyama, T. (2000). “Load following functions using distributed energy resources.” Proc., 2000 IEEE Power Engineering Society Summer Meeting, IEEE, Seattle, 1756–1761.
McConnell, C. R., and Bruce, S. L. (2002). Economics: Principles, problems, and polices, McGraw-Hill/Irwin, New York.
Meisel, J. (1993). “System incremental cost calculations using the participation factor load-flow formulation.” IEEE Trans. on Power Systems, 8(1), 357–363.
Naka, S., and Fukuyama, Y. (2001). “Practical equipment models for fast distribution power flow considering interconnection of distributed generators.” Proc., 2001 IEEE Power Engineering Society Summer Meeting, Vol. 2, IEEE, Vancouver, BC, Canada, 1007–1012.
Okamura, M., Oura, Y., Hayashi, S., Uemura, K., and Ishiguro, F. (1975). “A new power flow model and solution method including load and generator characteristics and effects of system control devices.” IEEE Trans. Power Appar. Syst., PAS-94(3), 1042–1050.
Pennsylvania Public Utility Commission (PA PUC). (2005). “Electric tariffs.” ⟨http://www.puc.state.pa.us/electric/electric̱tariffs_list.aspx⟩ (Nov. 20, 2005).
Strbac, G., Kirschen, D., and Ahmed, S. (1998). “Allocating transmission system usage on the basis of traceable contributions of generators and loads to flows.” IEEE Trans. on Power Systems, 13(2), 527–532.
Tong, S., Kleinberg, K., and Miu, K. (2005) “A distributed slack bus model and its impact on distribution system application techniques.” Proc., 2005 IEEE International Symp. on Circuits and Systems Conf., IEEE, Kobe, Japan.
Tong, S., and Miu, K. (2005) “A network-based distributed slack bus model for DGs in unbalanced power flow studies.” IEEE Trans. on Power Systems, 20(2), 835–842.
Willis, H. L., and Scott, W. G. (2000) Distributed power generation: planning and evaluation, Marcel Dekker, New York.
Zhu, Y., and Tomsovic, K. (2002) “Adaptive power flow method for distribution systems with dispersed generation.” IEEE Trans. Power Deliv., 17(3), 822–827.
Zimmerman, R. D. (1995). “Comprehensive distribution power flow: modeling, formulation, solution algorithms and analysis.” Doctoral dissertation, Cornell Univ., Ithaca, N.Y.
Zobian, A., and Ilic, M. D. (1997) “Unbundling of transmission and ancillary services. Part I. Technical issues.” IEEE Trans. on Power Systems, 12(2), 539–548.
Information & Authors
Information
Published In
Journal of Energy Engineering
Volume 133 • Issue 3 • September 2007
Pages: 111 - 120
Copyright
© 2007 ASCE.
History
Received: Jan 17, 2006
Accepted: Aug 28, 2006
Published online: Sep 1, 2007
Published in print: Sep 2007
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