引用本文:袁文涛,李开成,罗 溢,等.基于混合卷积窗和粒子群谱线插值的谐波与间谐波检测方法[J].电力系统保护与控制,2026,54(05):88-96.
YUAN Wentao,LI Kaicheng,LUO Yi,et al.Harmonic and interharmonic detection method based on hybrid convolution windows and particle swarm optimization-based spectral line interpolation[J].Power System Protection and Control,2026,54(05):88-96
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基于混合卷积窗和粒子群谱线插值的谐波与间谐波检测方法
袁文涛,李开成,罗 溢,等
华中科技大学电气与电子工程学院,湖北 武汉 430074
摘要:
加窗插值快速傅里叶变换方法因计算精度高、复杂度低,能有效缓解非同步采样和非整周期截断引起的频谱泄漏和栅栏效应,广泛应用于电力系统嵌入式谐波检测。针对现有窗函数和谱线插值方法的不足,提出一种基于混合卷积窗和粒子群谱线插值的谐波与间谐波检测方法。该方法首先构建时域卷积混合窗,融合Blackman-Harris窗与五项最大旁瓣衰减(maximum-sidelobe-decay, MSD)窗的优越特性,增强频谱泄漏抑制能力。其次建立谱线插值模型,引入粒子群优化算法离线搜索最优权重组合,克服传统方法依赖人工经验设定的局限,并进一步提高幅值检测精度。仿真结果表明,相较于改进前算法,所提方法在谐波与间谐波检测精度及抗干扰能力方面均表现更优。
关键词:  快速傅里叶变换  非同步采样  混合卷积窗  粒子群优化  谱线插值优化
DOI:10.19783/j.cnki.pspc.250691
分类号:
基金项目:国家自然科学基金项目资助(52077089)
Harmonic and interharmonic detection method based on hybrid convolution windows and particle swarm optimization-based spectral line interpolation
YUAN Wentao, LI Kaicheng, LUO Yi, YIN Chen, XU Aoao, LU Zihao, HE Jiaming
School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract:
Windowed interpolation fast Fourier transform (FFT) methods are widely used in embedded harmonic detection for power systems due to their high accuracy and low complexity, effectively mitigating spectral leakage and the picket-fence effect caused by asynchronous sampling and non-integer-period truncation. To address the limitations of existing window functions and spectral line interpolation methods, this paper proposes an improved harmonic and interharmonic detection approach based on hybrid convolution windows and particle swarm optimization (PSO)-based spectral line interpolation. First, a time-domain convolution hybrid window is constructed by combining the advantageous characteristics of the Blackman-Harris window and the five-term maximum sidelobe decay (MSD) window, thereby enhancing spectral leakage suppression capability. Second, a spectral line interpolation model is established, where the PSO algorithm is employed to perform offline searches for the optimal weight combination, overcoming the limitations of traditional methods that rely on empirical parameter settings and further improving amplitude detection accuracy. Simulation results show that, compared with the original algorithm, the proposed method achieves superior performance in terms of harmonic and interharmonic detection accuracy and anti-interference capability.
Key words:  FFT  asynchronous sampling  hybrid convolution window  particle swarm optimization  spectral line interpolation optimization
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