电源学报

一种无静差单相谐波观测器

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蔡永翔 ¹ , 王扬 ¹ , 李巍 ² , 欧阳广泽 ¹ , 白浩中国电源学会高级会员 ² , 何肖蒙 ³

电源学报 | 建模与控制 2025,23(7): 55-64

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电源学报 |建模与控制 2025 , 23 (7) : 55 -64

一种无静差单相谐波观测器

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蔡永翔¹, 王扬¹, 李巍², 欧阳广泽¹, 白浩中国电源学会高级会员², 何肖蒙³

作者信息

^1.贵州电网有限责任公司电力科学研究院，贵阳　550002

^2.南方电网科学研究院有限责任公司，广州　510663

^3.贵州电网有限责任公司贵阳供电局，贵阳　550004

通讯作者:

李巍（1993—　），男，通信作者，硕士，工程师。研究方向：配网运行控制，分布式电源并网。E-mail：liwei2732@126.com。

作者简介:

蔡永翔（1991—　），男，博士，工程师。研究方向：配网运行分析与控制。E-mail：lpscaiyx@163.com。

王扬（1993—　），男，硕士，工程师。研究方向：配网运行分析与控制。E-mail：yangwstu@163.com。

欧阳广泽（1978—　），男，硕士，高级工程师。研究方向：配网运行管理。E-mail：ouygz@im.gzas.csg。

白浩（1987—　），男，中国电源学会高级会员，博士，高级工程师。研究方向：配网运行与控制。E-mail：baihao@csg.cn。

何肖蒙（1987—　），女，硕士，工程师。研究方向：配电网电力通信。E-mail：531104564@qq.com。

Non-static Error Single-phase Harmonic Extraction Observer

Yongxiang CAI¹, Yang WANG¹, Wei LI², Guangze OUYANG¹, Hao BAI Senior Member, CPSS², Xiaomeng HE³

Affiliations

^1.Electric Power Research Institute, Guizhou Power Grid Co., Ltd., Guiyang 550002, China

^2.CSG Electric Power Research Institute Co., Ltd., Guangzhou 510663, China

^3.Guiyang Power Supply Company, Guizhou Power Grid Co., Ltd., Guiyang 550004, China

出版时间: 2025-11-30 doi: 10.13234/j.issn.2095-2805.2025.7.55

文章导航

摘要

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快速准确地获取电网或者逆变器输出波形中的谐波分量，对逆变器控制和谐波补偿具有重要意义，而以往常采用的二阶广义积分器SOGI（second-order generalized integrator）方法存在离散过程中出现谐振点偏移，影响分离提取精度的问题。为此提出了1种能够快速精确地分离提取谐波的无稳态误差谐波观测器HEO（harmonic extraction observer）技术，其实现过程可以直接等效为1组二阶差分方程，结构简洁，易于数字实现。另外，详细分析了所提HEO的原理和性能，并与传统SOGI方法进行了性能对比。同时，为了解决多种谐波观测过程中存在相互干扰的现象，在所提HEO的基础上，提出了交叉抑制性结构改进型HEO方法，详细讨论了其实现原理和结构。最后，单相系统的仿真和实验结果表明，谐波观测器能够快速精确地分离提取单相系统中的基波及各次谐波分量，具有响应速度快、观测偏差小的优势。

关键词

谐波观测器 / 伯德图 / 二阶广义积分 / 交叉抑制结构 / 谐波分离

Abstract

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The rapid and accurate acquisition of harmonic components in the output waveforms from power grid or inverters is of significance for inverter control and harmonic compensation. However, the commonly used method of second-order generalized integrator (SOGI) suffers from the problem of resonance point offset during the discretization process, which affects the separation and extraction accuracy. To solve this question, a technique of non-static error harmonic extraction observer (HEO) which can rapidly and accurately separate and extract harmonics is proposed, whose implementation process can be directly equated to a set of second-order difference equations with a simple structure and easy digital implementation. The principle and performance of the proposed HEO are analyzed in detail, and its performance is compared with that of the conventional SOGI method. Meanwhile, in order to avoid the phenomenon of mutual interference during the observation of multiple harmonics, a cross-suppressed modified HEO method is further put forward, and the corresponding implementation principle and structure are discussed in depth. Finally, the simulation and experimental results of a singlephase system show that the proposed HEO can quickly and accurately separate and extract the fundamental wave and each harmonic component in the single-phase system, with advantages of fast response and small observation deviation.

Key words

Harmonic extraction observer (HEO) / Bode plot / second-order generalized integrator (SOGI) / cross-suppressed structure / harmonic separation

引用本文

蔡永翔, 王扬, 李巍, 欧阳广泽, 白浩中国电源学会高级会员, 何肖蒙. 一种无静差单相谐波观测器. 电源学报, 2025 , 23 (7) : 55 -64 . DOI: 10.13234/j.issn.2095-2805.2025.7.55

Yongxiang CAI, Yang WANG, Wei LI, Guangze OUYANG, Hao BAI, Xiaomeng HE. Non-static Error Single-phase Harmonic Extraction Observer[J]. Journal of Power Supply, 2025 , 23 (7) : 55 -64 . DOI: 10.13234/j.issn.2095-2805.2025.7.55

基金

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贵州省科技支撑计划资助项目(黔科合支撑[2022]一般012)
中国南方电网公司重点科技资助项目(GZKJXM20220043)

参考文献

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2025年第23卷第7期

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文章信息

doi: 10.13234/j.issn.2095-2805.2025.7.55

接收时间：2023-06-21
首发时间：2026-10-26
出版时间：2025-11-30

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出版历史

收稿日期：2023-06-21
修回日期：2023-08-21
录用日期：2023-09-26

基金

Guizhou Provincial Science and Technology Projects(黔科合支撑[2022]一般012)

贵州省科技支撑计划资助项目(黔科合支撑[2022]一般012)

Key Science and Technology Projects of China Southern Power Grid Corporation(GZKJXM20220043)

中国南方电网公司重点科技资助项目(GZKJXM20220043)

作者信息

^1.贵州电网有限责任公司电力科学研究院，贵阳　550002

^2.南方电网科学研究院有限责任公司，广州　510663

^3.贵州电网有限责任公司贵阳供电局，贵阳　550004

通讯作者:

李巍（1993—　），男，通信作者，硕士，工程师。研究方向：配网运行控制，分布式电源并网。E-mail：liwei2732@126.com。

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https://castjournals.cast.org.cn/joweb/dyxb/CN/10.13234/j.issn.2095-2805.2025.7.55

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2种不同金属材料的力学参数

科 Family	属数 Number of genus	种数 Number of species	占总种数比例 Percentage of total species (%)	属 Genus	种数 Number of species	占总种数比例 Percentage of total species (%)
鹅膏菌科Amanitaceae	2	11	5.26	鹅膏菌属 Amanita	10	4.78
小菇科 Mycenaceae	2	12	5.74	丝盖伞属 Inocybe	5	2.39
多孔菌科 Polyporaceae	8	14	6.70	蜡蘑属 Laccaria	5	2.39
红菇科 Russulaceae	3	23	11.00	小皮伞属 Marasmius	6	2.87
				小菇属 Mycena	11	5.26
				光柄菇属 Pluteus	5	2.39
				红菇属 Russula	17	8.13
				栓菌属 Trametes	5	2.39

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