A fundamental wave complex number estimation method and system based on Goertzel

By designing a digital orthogonal oscillator and adjusting the gain value, the problem of the frequency conversion sequence amplitude deviating from 1 in the Goertzel algorithm is solved, the accuracy and stability of the fundamental complex number calculation are achieved, and the accuracy of three-phase unbalance analysis is improved.

CN115236454BActive Publication Date: 2025-10-10SHENZHEN ZHIWEI ICT CO LTD
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Patent Information

Application Number
CN202210852252.1
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-07-19
Publication Date
2025-10-10
Estimated Expiration
2042-07-19

AI Technical Summary

Technical Problem

In the prior art, the first-order Goertzel algorithm causes errors in fundamental wave calculation due to the deviation of the amplitude of the superheterodyne frequency conversion sequence from 1, which affects the accurate estimation of the degree of three-phase imbalance.

Method used

A digital quadrature oscillator is designed and the linear AGC method is used to adjust the gain value so that the amplitude of the digital quadrature oscillator output is stable at 1. The frequency conversion sequence of the first-order Goertzel algorithm is replaced and the fundamental complex number calculation is performed using the stable digital quadrature oscillator output.

Benefits of technology

The accuracy of fundamental wave vector magnitude and phase calculation is improved, calculation errors are reduced, and the accuracy of three-phase unbalance analysis is improved.

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Abstract

The present application relates to a kind of fundamental wave complex estimation method and system based on Goertzel, belong to digital signal processing technical field.The present application utilizes the output of the designed digital quadrature oscillator as the frequency conversion sequence in first-order Goertzel algorithm, adopts linear AGC method to adjust the gain value in digital quadrature oscillator in real time, so that the output of digital quadrature oscillator can be stabilized around 1, the gain value is multiplied with the output of digital quadrature oscillator at previous time to obtain the output of digital quadrature oscillator, which can greatly enhance the stability of oscillator, and the frequency conversion sequence of first-order Goertzel algorithm realized by superheterodyne scheme is replaced by the output of stable digital quadrature oscillator, and then the accuracy of fundamental wave vector size and phase calculation can be improved.
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