Wind power output typical scene generation method based on BIRCH clustering and Wasserstein distance
A wind power output and scene technology, applied in wind power generation, probabilistic CAD, stochastic CAD, etc., can solve the problems of affecting calculation efficiency, large amount of calculation, low calculation efficiency, etc.
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[0063] A method for generating typical scenarios of wind power output based on BIRCH clustering and Wasserstein distance, including:
[0064] Using the Wasserstein distance transformation to minimize W s The problem of finding M optimal quantile points in the case of ; assuming that the optimal quantile point is recorded as L m (m=1,2,...,M); the continuous probability density function of the variable x is recorded as h(x), and L can be obtained by the following formula m :
[0065]
[0066] Corresponding quantile L m The discrete probability p m for:
[0067]
[0068] In the formula, L 0 , L M+1 are the lower limit and upper limit of the variable x, usually taken as -∞, +∞ respectively; W s为 Integral over the r-th order distance measure of two probability density functions;
[0069] Usually, the uncertainty of wind speed at a single moment can be described by the Weibull distribution function, which is defined as follows:
[0070]
[0071] In the formula, v ...
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