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Non-static Error Single-phase Harmonic Extraction Observer
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Yongxiang CAI1, Yang WANG1, Wei LI2, Guangze OUYANG1, Hao BAI  Senior Member, CPSS2, Xiaomeng HE3
Journal of Power Supply | 2025, 23(7) : 55 - 64
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Journal of Power Supply | 2025, 23(7): 55-64
• Modeling and Control •
Non-static Error Single-phase Harmonic Extraction Observer
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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
Published: 2025-11-30 doi: 10.13234/j.issn.2095-2805.2025.7.55
Outline
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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.

Harmonic extraction observer (HEO)  /  Bode plot  /  second-order generalized integrator (SOGI)  /  cross-suppressed structure  /  harmonic separation
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
  • Guizhou Provincial Science and Technology Projects(黔科合支撑[2022]一般012)
  • Key Science and Technology Projects of China Southern Power Grid Corporation(GZKJXM20220043)
Year 2025 volume 23 Issue 7
55
5
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Article Info
doi: 10.13234/j.issn.2095-2805.2025.7.55
  • Receive Date:2023-06-21
  • Online Date:2026-10-26
  • Published:2025-11-30
Article Data
Affiliations
History
  • Received:2023-06-21
  • Revised:2023-08-21
  • Accepted:2023-09-26
Funding
Guizhou Provincial Science and Technology Projects(黔科合支撑[2022]一般012)
Key Science and Technology Projects of China Southern Power Grid Corporation(GZKJXM20220043)
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
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光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
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