Substation SAV message estimation algorithm based on Lagrange interpolation
An estimation algorithm and substation technology, applied to electrical components, digital transmission systems, error prevention, etc., can solve problems such as delay or loss
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[0031] specific implementation
[0032] The basic principle of Lagrangian quadratic interpolation used in this algorithm is:
[0033] The function y=f(x) has 3 different points x on the interval [a, b] 0 , x 1 , x 2 The function values of y are respectively 0 ,y 1 ,y 2 , L 2 (x)∈P 2 , and satisfy the interpolation condition:
[0034] L 2 (x i )=y i , i=0,1,2
[0035] where P 2 Represents the polynomial function space composed of all polynomials whose degree does not exceed 2, which is called L at this time 2 (x) is a 2-degree Lagrangian interpolation polynomial of function y=f(x), L 2 The expression of (x) is as follows:
[0036]L 2 (x)=l 20 (x)y 0 +l 21 (x)y 1 +l 22 (x)y 2
[0037] in
[0038] l 20 ( x ) = ( x - x 1 ...
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