The Nonlinear Dynamics Characteristics Recognition of Power Load under Electricity Market

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Abstract:

Power load is significant for the power system load forecasting, system planning, and so on. Because of its subject to weather, climate and the impact of social systems, it shows complex nonlinear characteristics. Especially when the electricity market is established, its nonlinear dynamics is also guided by the market mechanism. Facing to this, a study is done based on the load data of a certain node in Zhejiang Province grid, extracted its Hurst exponent and the box dimension, calculated the maximum Lyapunov exponent and the K entropy. It proves the nonlinear dynamic characteristics of power load under electricity market, and reconstructs its phase space.

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36-42

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June 2010

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© 2010 Trans Tech Publications Ltd. All Rights Reserved

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[1] Herui Cui, Xiuli Song. An empirical research on short term power load forecasting based on chaos theory[C]. 2008 International Seminar on Future Information Technology and Management Engineering, 2008: 394-397.

DOI: 10.1109/fitme.2008.21

Google Scholar

[2] Chuanwen Jiang, Tao Li. Forecasting method study on chaotic load series with high embedded dimension[J]. Energy Conversion and Management, 2005, 46(5): 667-676.

DOI: 10.1016/j.enconman.2004.06.004

Google Scholar

[3] Xusheng Yang, Yong You, Wanxing Sheng, et al. A hybrid method and its application for power system[J]. Journal of Universal Computer Science, 2009, 15(13): 2726-2745.

Google Scholar

[4] T Iokibe, Y Fujimoto, M Kanke, et al. Short-term prediction of chaotic time series by local fuzzy reconstruction method[J]. J. Intell. Fuzzy Syst. 1997, 5(1): 3-21.

DOI: 10.3233/ifs-1997-5102

Google Scholar

[5] J Ding, Y Sun. Short-term load forecasting using chaotic learning algorithm for neural network[J]. Autom. Electric Power Syst. , 2000, 24 (1): 32-35.

Google Scholar

[6] Hurst H E. Long-term storage capacity of reservoirs[J]. Transactions of the American Society of Civil Engineering, 1951, 116: 770-799.

DOI: 10.1061/taceat.0006518

Google Scholar

[7] Peters E. Fracatal structure in the capital market[J]. Financial Analysts Journal, 1989, 52(3): 131-137.

Google Scholar

[8] Barnsley M F. Fractals everywhere[M]. New York: Academic Press Inc., (1988).

Google Scholar

[9] Alan Wolf, Jack B Swift, Harry L swinney, et al. Detemining lyapunov exponents from a time series[J]. Physica D, 1985, 16(3): 285-317.

DOI: 10.1016/0167-2789(85)90011-9

Google Scholar

[10] Rosenstein M T, Collins J J, Deluca C J. A practical method for calculating largest Lyapunov exponents from small data sets[J]. Physica D, 1993, 65(1): 117-134.

DOI: 10.1016/0167-2789(93)90009-p

Google Scholar

[11] Grassberger P , Procaccia I. Measuring the strangeness of strange attractors[J]. Physica D, 1983, 9: 189-(2081).

DOI: 10.1016/0167-2789(83)90298-1

Google Scholar

[12] Packard N H, Crutchfisld J P, Farmer J D, et al. Geometry from a time series[J]. Physical Review Letters, 1980, 45: 712-716.

Google Scholar

[13] Takens F. Determining strange attractors in turbulence[J]. Lecture Notes in Mathmematics. Berlin: Springer, 1981, 898: 366-381.

Google Scholar

[14] Andrew M F, Harry L swinney. Independent coordinates for strange attractors from mutual information[J]. Physical Review A, 1986, 33(2): 1134-1140.

DOI: 10.1103/physreva.33.1134

Google Scholar

[15] Grassberger P, Procaccia I. Characterization of strange attractors[J]. Phys. Rev. Lett, 1983, 50(5): 346-349.

DOI: 10.1103/physrevlett.50.346

Google Scholar