Abstract
A method is proposed to identify the generators participating in an inter-area mode and the coherent generators by analyzing the discrete signals from phasor measurement units (PMU). In the present work, Zolotarev polynomial based filter bank (ZPBFB) is adopted to decompose the measured signals into monocomponents for modal frequency and damping. ZPBFB is preferred due to the narrow bandwidth of 0.1 Hz and hence closely spaced modes can be distinguished. All the generator speed signals are analysed with ZPBFB to identify the generators participating in an inter-area mode. Principal component analysis (PCA) is widely used for clustering sampled data. It is proposed in the present work to apply PCA on the decomposed signals, obtained from ZPBFB, of those generators participating in an inter-area mode for generator coherency. The efficacy of the proposed method is demonstrated on IEEE two-area test system, 16-machine, 68-bus system and on real time signals recorded by wide area frequency measurement system (WAFMS) in India on November 30, 2011. The detailed simulation results are presented. The performance of the proposed method is compared with small signal stability analysis and wavelet phase difference (WPD) approach.
References
[1] Alsafih HA, Dunn R. Determination of coherent clusters in a multi-machine power system based on wide-area signal measurements. Power and Energy Society General Meeting, 2010 IEEE, 2010: 1–8.10.1109/PES.2010.5589888Search in Google Scholar
[2] Rueda JL, Juarez CA, Erlich I. Wavelet-based analysis of power system low-frequency electromechanical oscillations. IEEE Trans Power Syst. 2011;26:1733–1743.10.1109/TPWRS.2010.2104164Search in Google Scholar
[3] Browne T, Vittal V, Heydt G, Messina A. A comparative assessment of two techniques for modal identification from power system measurements. IEEE Trans Power Syst. 2008;23:1408–1415.10.1109/TPWRS.2008.926720Search in Google Scholar
[4] Kundur P, Klein M, Rogers GJ, Zywno MS. Application of power system stabilizers for enhancement of overall system stability. IEEE Power Eng Rev. 1989;9:61–61.10.1109/MPER.1989.4310703Search in Google Scholar
[5] Rogers G. Power system oscillations, power electronics and power systems. USA: Springer, 2012.Search in Google Scholar
[6] Chow J. Power system coherency and model reduction, power electronics and power systems. New York: Springer, 2013.10.1007/978-1-4614-1803-0Search in Google Scholar
[7] Germond AJ, Podmore R. Dynamic aggregation of generating unit models. IEEE Trans Power Apparatus Syst. 1978;PAS-97:1060–1069.10.1109/TPAS.1978.354585Search in Google Scholar
[8] Wu F, Narasimhamurthi N. Coherency identification for power system dynamic equivalents. IEEE Trans Circuits Syst. 1983;30:140–147.10.1109/TCS.1983.1085343Search in Google Scholar
[9] Kamwa I, Pradhan AK, Joos G, Samantaray SR. Fuzzy partitioning of a real power system for dynamic vulnerability assessment. IEEE Trans Power Syst. 2009;24:1356–1365.10.1109/TPWRS.2009.2021225Search in Google Scholar
[10] Podmore R. Identification of coherent generators for dynamic equivalents. IEEE Trans Power Apparatus Syst. 1978;PAS-97:1344–1354.10.1109/TPAS.1978.354620Search in Google Scholar
[11] Susuki Y, Mezic I. Nonlinear koopman modes and coherency identification of coupled swing dynamics. IEEE Trans Power Syst. 2011;26:1894–1904.10.1109/TPWRS.2010.2103369Search in Google Scholar
[12] Gomez O, Rios MA. Real time identification of coherent groups for controlled islanding based on graph theory. IET Gener Transm Distrib. 2015;9:748–758.10.1049/iet-gtd.2014.0865Search in Google Scholar
[13] Wang X, Vittal V, Heydt GT. Tracing generator coherency indices using the continuation method: a novel approach. IEEE Trans Power Syst. 2005;20:1510–1518.10.1109/TPWRS.2005.852077Search in Google Scholar
[14] Lawler J, Schlueter RA, Rusche P, Hackett DL. Modal-coherent equivalents derived from an rms coherency measure. IEEE Trans Power Apparatus Syst. 1980;PAS-99:1415–1425.10.1109/TPAS.1980.319564Search in Google Scholar
[15] Liu C, Yokoyama R, Koyanagi K, Lee KY. PSS design for damping of inter-area power oscillations by coherency-based equivalent model. Int J Electr Power Energy Syst. 2004;26:535–544.10.1016/j.ijepes.2004.01.007Search in Google Scholar
[16] Chow J, Winkelman J, Pai M, Sauer P. Singular perturbation analysis of large-scale power systems. Int J Electr Power Energy Syst. 1990;12:117 – 126.10.1016/0142-0615(90)90007-XSearch in Google Scholar
[17] Dasgupta K, Kulkarni A, Soman S. Studying electromechanical wave propagation and transport delays in power systems. Int J Emerging Electr Power Syst. 2013;14:105–114.10.1515/ijeeps-2013-0021Search in Google Scholar
[18] Kamwa I, Pradhan AK, Joos G. Automatic segmentation of large power systems into fuzzy coherent areas for dynamic vulnerability assessment. IEEE Trans Power Syst. 2007;22:1974–1985.10.1109/TPWRS.2007.907383Search in Google Scholar
[19] Saha Roy BK, Sinha AK, Pradhan AK. Synchrophasor-assisted prediction of stability/instability of a power system. Int J Emerging Electr Power Syst. 2013;14:1–8.10.1515/ijeeps-2013-0028Search in Google Scholar
[20] Ariff MAM, Pal BC. Coherency identification in interconnected power system - an independent component analysis approach. IEEE Trans Power Syst. 2013;28:1747–1755.10.1109/TPWRS.2012.2217511Search in Google Scholar
[21] Trudnowski DJ. Estimating electromechanical mode shape from synchrophasor measurements. IEEE Trans Power Syst. 2008;23:1188–1195.10.1109/TPWRS.2008.922226Search in Google Scholar
[22] Vahidnia A, Ledwich G, Palmer E, Ghosh A. Generator coherency and area detection in large power systems. IET Gener Transm Distrib. 2012;6:874–883.10.1049/iet-gtd.2012.0091Search in Google Scholar
[23] Avdakovic S, Becirovic E, Nuhanovic A, Kusljugic M. Generator coherency using the wavelet phase difference approach. IEEE Trans Power Syst. 2014;29:271–278.10.1109/TPWRS.2013.2279881Search in Google Scholar
[24] Avdakovic S, Nuhanovic A, Kusljugic M, Becirovic E. Wavelet analysis of dynamic behaviors of the large interconnected power system. CoRR. 2013; abs/1307.7895.Search in Google Scholar
[25] Jonsson M, Begovic M, Daalder J. A new method suitable for real-time generator coherency determination. IEEE Trans Power Syst. 2004;19:1473–1482.10.1109/TPWRS.2004.826799Search in Google Scholar
[26] Lei X, Povh D, Ruhle O. Industrial approaches for dynamic equivalents of large power systems. In: IEEE Power Engineering Society Winter Meeting, 2002., volume 2, 2002: 1036–1042.10.1109/PESW.2002.985166Search in Google Scholar
[27] Liu C, Cai G, Yang D, Sun Z. Extraction and analysis of inter-area oscillation using improved multi-signal matrix pencil algorithm based on data reduction in power system. Int J Emerging Electr Power Syst. 2016;17:435–450.10.1515/ijeeps-2015-0160Search in Google Scholar
[28] Lo KL, Qi ZZ, Xiao D. Identification of coherent generators by spectrum analysis. IEE Proc Gener Transm Distrib. 1995;142:367–371.10.1049/ip-gtd:19951816Search in Google Scholar
[29] Senroy N. Generator coherency using the hilbert-huang transform. IEEE Trans Power Syst. 2008;23:1701–1708.10.1109/TPWRS.2008.2004736Search in Google Scholar
[30] Anaparthi KK, Chaudhuri B, Thornhill NF, Pal BC. Coherency identification in power systems through principal component analysis. IEEE Trans Power Syst. 2005;20:1658–1660.10.1109/TPWRS.2005.852092Search in Google Scholar
[31] Padhy BP, Srivastava SC, Verma NK. A coherency-based approach for signal selection for wide area stabilizing control in power systems. IEEE Syst J. 2013;7:807–816.10.1109/JSYST.2013.2249241Search in Google Scholar
[32] Wilfert H-H, Voigtländer K, Erlich I. Dynamic coherency identification of generators using self-organising feature maps. Control Eng Pract. 2001;9:769–775.10.1016/S0967-0661(01)00028-4Search in Google Scholar
[33] Mandadi K, Kumar BK. Identification of inter-area oscillations using Zolotarev polynomial based filter bank with eigen realization algorithm. IEEE Trans Power Syst. 2016;31:4650–4659.10.1109/TPWRS.2016.2517656Search in Google Scholar
[34] Vlcek M, Unbehauen R. Zolotarev polynomials and optimal FIR filters. IEEE Trans Signal Proc. 1999;47:717–730.10.1109/78.747778Search in Google Scholar
[35] Chatfield C, Collins AJ. Introduction to multivariate analysis. London, U.K.: Chapman and Hall, 1980.10.1007/978-1-4899-3184-9Search in Google Scholar
[36] Padiyar K. Power system dynamics : stability & control : 2Nd ed. BS Publications, 2002.Search in Google Scholar
[37] Rogers G. Power system toolbox, version 1.7. Cherry Tree Scientific Software, 1999.Search in Google Scholar
[38] Salunkhe KA, Kulkarni A. A wide area synchronized frequency measurement system using network time protocol. In: Proceedings of 16th National Power System Conference, Hyderabad, 2010: 266–271.Search in Google Scholar
[39] Dalawai PP, Pandey V. Application of synchrophasors-a case study in northern regional power system in india. Int Water Energy. 2013;70:24–29.Search in Google Scholar
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Articles in the same Issue
- Microgrid Architecture Evaluation for Small and Medium Size Industries
- Application of V2G and G2V Coordination of Aggregated Electric Vehicle Resource in Load Levelling
- Design of Filter based Wide Area Damping Controllers in Power System
- A Study of Efficient MPPT Techniques for Photovoltaic System Using Boost Converter
- Estimation of Battery Soc for Hybrid Electric Vehicle using Coulomb Counting Method
- Combined Frequency Equivalent Model for Power Transmission Network Dynamic Behavior Analysis
- Generator Coherency Using Zolotarev Polynomial Based Filter Bank and Principal Component Analysis
- Techniques for the Identification of Critical Nodes Leading to Voltage Collapse in a Power System
- Computational Studies of Voltage Regulation Provided by Wind Farms Through Reactive Power Control
- Energy Scheduling of Smart Appliances at Home under the Effect of Dynamic Pricing Schemes and Small Renewable Energy Source
- High Rate Pulse Discharge of Lithium Battery in Electromagnetic Launch System
- A Balanced Operation of Static VAR Compensator for Voltage Stability Improvement and Harmonic Minimization