Power system chaos model monitoring method based on Lyapunov exponent
A power system and index technology, applied in forecasting, data processing applications, instruments, etc., can solve problems such as uncertainty, complexity of power load time series, nonlinearity, etc., to ensure safe and economic operation, and the forecast effect is impressive. The effect of high prediction accuracy
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[0040] 1. The hourly loads of a power system on the hour every day for 24 hours in a certain power system form a time series, and the sequence length is n=8760.
[0041] 2. Calculate the autocorrelation function of the sequence, and select the optimal delay time τ as 10h (see figure 1 ).
[0042] 3. Obtain the saturation correlation dimension m=8 of the hourly load. At this time, the corresponding spatial dimension is the optimal embedding dimension of the reconstructed phase space (see figure 2 ).
[0043] 4. Based on the theory of reconstructed phase space, establish the multi-dimensional phase space of hourly load, take the optimal embedding dimension of phase space m=8, delay time τ=10, constitute more than 8000 phase points, all phase points are expressed as:
[0044] Y(t i ) = [x(t i ), x(t i +10),···,x(t i +(8-1)*10)].
[0045] 5. Calculate the maximum Lyapunov exponent of the hourly load of electricity. In order to verify the stability of the algorithm, the s...
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