Inter-harmonic detection method combining AR spectrum estimation and non-linear optimization
A nonlinear optimization and harmonic detection technology, applied in the field of inter-harmonic detection combined with AR spectrum estimation and nonlinear optimization, can solve the problem of inability to describe circuit waveforms containing harmonic interference, spectrum leakage, and spectral line recognition error reduction Value and phase detection accuracy and other issues
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[0100] Below in conjunction with accompanying drawing and embodiment the present invention will be further described:
[0101] Such as figure 1 Shown, the flow chart that the present invention realizes carries out according to the following steps:
[0102] (1) Input sampling data y(n) and perform AR spectrum estimation operation to give harmonic parameter information with low precision;
[0103] (2) Based on the preliminary harmonic information, the parameter model is established by selecting the local maximum value of the power spectrum;
[0104] (3) Apply nonlinear optimization algorithm to determine accurate harmonic parameters, the steps include:
[0105] 1) Set the initial approximate value x 0 ∈ R n , error limit ε 1 >0;
[0106] 2) calculate Let 0→k;
[0107] 3) Find the optimal step size t k satisfy Calculate iteration value x k+1 =x k +λ k p k as well as
[0108] 4) Calculate like Go to step 6), otherwise, go to step 5);
[0109] 5) Calculate ...
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