Wind energy forecasting method based on trend detector and mathematical morphology operator
A technology of mathematical morphology and forecasting methods, applied in forecasting, instrumentation, calculation, etc., can solve problems such as low forecasting accuracy, stability to be strengthened, and large forecasting limitations.
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Embodiment 1
[0057] Embodiments of the present invention will be described in further detail below in conjunction with the accompanying drawings.
[0058] Such as figure 1 As shown, the wind energy prediction method based on the trend detector and the mathematical morphology operator of the present embodiment includes the following steps:
[0059] 1) Design an average trend detector, including the following steps:
[0060] Consider the historical wind energy data of the wind farm, recorded as non-stationary time series x(t), the length of the time series is L; using conventional mathematical morphology operators, that is, using the high-hat transformation TH (Top-hat) and low Hat transformation BH (Bottom-hat), to obtain the oscillatory element of the time series x(t), such as figure 2 As shown (the solid line in the figure is the wind energy curve, the dotted line is the average trend line, EO is the oscillating element, M is the weight centroid, and P is the extreme value point), the ...
Embodiment 2
[0086] The main feature of this embodiment is: after the method of Embodiment 1 performs forecasting, the forecast results of the wind power output power of the wind farm are also evaluated, and the average relative error is used to measure the forecast accuracy and the mean square error is used to measure the forecast stability. ;
[0087] The mean relative error is defined as follows:
[0088] MRE = 1 N Σ i = 1 N | y i - y ^ i | y i - - - ( 9 )
[0089] The mean square error is defined as follows:
[...
Embodiment 3
[0093] The main features of this embodiment are: after the method of embodiment 1 forecasts, the forecast results of the wind power output power of the wind farm are also evaluated. For an ideal forecast method, there is no deviation between the forecast results and the actual data. Therefore, the evaluation scheme of this embodiment is based on the similarity between the forecast results and the actual data, so that the forecast results of the wind power output power and the actual data of the wind power output power maintain an identity relationship, as follows:
[0094] y ^ i = y i - - - ( 11 )
[0095] Equation (11) is expressed as a straight line with a slope of 1 and passing through the origin in the Cartesian coordinate system, such as Figure 4 shown. Any small error will lea...
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