Abstract
We present a coherency measure and a network reduction algorithm. The rank correlation function was used to determine the mutual couplings of generators. Generators were grouped at two correlation levels. These are grouping tolerances whose values are unique for a given system. The first produces the most strictly coupled generators to be aggregated, and the second identifies the generators to be saved during reduction. The terminals of the generators in each group were extended to include load buses to partition the network. Previously reported techniques were used to reduce generator and load buses.
Similar content being viewed by others
References
Undrill JM, Turner AE (1971) Construction of power system electromechanical equivalents by modal analysis. IEEE Trans Power Appar Syst 90:2049–2059
Undrill JM, Casazza JA, Gulachenski EM, Kirchmayer LK (1971) Electromechanical equivalents for use in power system stability studies. IEEE Trans Power Appar Syst 90:2060–2071
Podmore R (1978) Identification of coherent generators for dynamic equivalents. IEEE Trans Power Appar Syst 97:1344–1354
Germond AJ, Podmore R (1978) Dynamic aggregation of generating unit models. IEEE Trans Power Appar Syst 97:1060–1069
Avramoviç B, Kokotoviç PV, Winkelman JR, Chow JH (1980) Area decomposition for electromechanical models of power systems. Automatica 16:637–648
Winkelman JR, Chow JH, Bowler BC, Avramoviç B, Kokotoviç PV (1981) An analysis of inter area dynamics of multi-machine systems. IEEE Trans Power Appar Syst 100:754–763
Chow JH, Cullum J, Willoughby A (1984). A sparsity-based technique for identifying slow-coherent areas in large power systems. IEEE Trans Power Appar Syst 103:463–473
Nath R, Lamba S, Prakasa RKS (1985) Coherency based system decomposition into study and external areas using weak coupling. IEEE Trans Power Appar Syst 104:1443–1449
Troullinos G, Dorsey JF, Wong H, Myers J, Goodwin S (1985) Estimating order reduction for dynamic equivalents. IEEE Trans Power Appar Syst 104:3475–3481
Newell RJ, Risan MD, Allen L, Rao KS, Stuehm DL (1985) Utility experience with coherency based dynamic equivalents of very large systems. IEEE Trans Power Appar Syst 97:3056–3063
Troullinos G, Dorsey J, Wong H, Myers J (1988) Reducing the order of very large power system models. IEEE Trans Power Syst 3:127–133
Wang L, Klein M, Yirga S, Kundur P (1997) Dynamic reduction of large power systems for stability studies. IEEE Trans Power Syst 12:889–895
Price W, Gargrave AW, Hurysz BJ (1998) Large-scale system testing of a power system dynamic equivalencing program. IEEE Trans Power Syst 13:768–774
Lawler JS, Schlueter RA (1980) Modal coherent equivalents derived from an rms coherency measure. IEEE Trans Power Appar Syst 99:1415–1423
Spalding BD, Yee H, Goudie DB (1977) Coherency recognition for transient stability studies using singular points. IEEE Trans Power Appar Syst 96:1368–1375
Gallai AM, Thomas RJ (1982). Coherency identification for large electric power systems. IEEE Trans Cir Syst 29:777–781
Yusof SB, Rogers GJ, Alden RTH (1993) Slow coherency based network partitioning including load buses. IEEE Trans Power Syst 8:1375–1382
Podmore R, Germond A (1977). Development of dynamic equivalents for transient stability studies. EPRI EL-456. Final report, April
Dorsey JF, Schlueter R A (1984) Structural archetypes for coherency: a framework for comparing power system equivalents. Automatica 20:349–352
Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1988) Numerical recipes in C. Cambridge University Press, Cambridge, ISBN 0521750334
Anderson PM, Fouad AA (1994) Power system control and stability. IEEE Press, Piscataway, N.J., ISBN 0780310292
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Atmaca, E., Şerifoğlu, N. A rank correlation-based method for power network reduction. Electr Eng 85, 211–218 (2003). https://doi.org/10.1007/s00202-003-0165-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00202-003-0165-7