An improved D‑D‑Σ algorithm for LCL‑type three‑level grid‑connected inverters in weak grid based on the BB‑GD algorithm

LIU Jiang; XU Huilin; ZHANG Bo; FENG Kaiwen; DENG Maojun; SONG Guobing

doi:10.19783/j.cnki.pspc.260149

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An improved D‑D‑Σ algorithm for LCL‑type three‑level grid‑connected inverters in weak grid based on the BB‑GD algorithm

更新时间：2026-10-16

- An improved D‑D‑Σ algorithm for LCL‑type three‑level grid‑connected inverters in weak grid based on the BB‑GD algorithm
- Power System Protection and Control Vol. 54, Issue 17, (2026)
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- DOI：10.19783/j.cnki.pspc.260149
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- Published：2026
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LIU Jiang, XU Huilin, ZHANG Bo, et al. An improved D‑D‑Σ algorithm for LCL‑type three‑level grid‑connected inverters in weak grid based on the BB‑GD algorithm[J]. Power System Protection and Control, 2026, 54(17).
DOI：

LIU Jiang, XU Huilin, ZHANG Bo, et al. An improved D‑D‑Σ algorithm for LCL‑type three‑level grid‑connected inverters in weak grid based on the BB‑GD algorithm[J]. Power System Protection and Control, 2026, 54(17). DOI： 10.19783/j.cnki.pspc.260149.

摘要

针对 LCL 型三电平并网逆变器的双分解‑求和 (dual‑division‑summation

D‑D‑Σ) 算法在弱电网下仅优化逆变器侧电感电流参数、易出现并网电流跟踪效果差的问题，提出一种基于 Barzilai‑Borwein 梯度下降 (Barzilai‑Borwein gradient descent

BB‑GD) 算法的改进 D‑D‑Σ 算法。首先，通过对 LCL 滤波器两侧电感电流同时进行分解及求和，推导出包含双控制参数的占空比表达式。进而，将并网电流跟踪与谐振抑制问题转化为多目标优化问题，设定加权综合目标函数，采用中心差分法进行数值梯度估计，并利用 BB 算法自适应优化 GD 算法的学习率。最后，通过实验进行验证。结果表明，所提策略能够在弱电网下实现并网电流精准跟踪和谐振抑制，相较于仅优化逆变器侧电感电流参数的方法，并网电流跟踪精度提升 10%。

Abstract

To address the issue that the dual‑division‑summation (D‑D‑Σ) algorithm for LCL‑type three‑level grid‑connected inverter only optimizes the inverter‑side inductor current parameters under weak grid conditions

resulting in poor grid‑connected current tracking performance

an improved D‑D‑Σ algorithm based on the Barzilai‑Borwein Gradient Descent (BB‑GD) algorithm is proposed. First

the inductor currents on both sides of the LCL filter are simultaneously decomposed and summed to derive a duty cycle expression involving two control parameters. Then

the grid‑connected currents tracking and resonance suppression problems are formulated as a multi‑objective optimization problem. A weighted comprehensive objective function is established

the central difference method is employed for numerical gradient estimation

and the BB algorithm is utilized to adaptively optimize the learning rate of the GD algorithm. Finally

experiments are conducted for verification. The results show that the proposed strategy achieves precise grid‑connected current tracking and resonance suppression under weak grid conditions. Compared to the method that only optimizes the inverter‑side inductor current parameters

the proposed strategy improves the grid‑connected current tracking accuracy by 10%.

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references

LIU Ancheng, WANG Yipei, KWON Taeho, et al. Two‑ segment high‑performance PV grid‑connected inverter[J]. IEEE Transactions on Power Electronics, 2025, 40(2): 2809‑2821.

SAFAMEHR H, NAJAFABADI T A, SALMASI F R. Adaptive control of grid‑connected inverters with nonlinear LC filters[J]. IEEE Transactions on Power Electronics, 2023, 38(2): 1562‑1570.

KERMADI M, REBAI A, MEKHILEF S, et al. Model‑free deadbeat predictive current control for grid‑connected inverters using autoregressive model and recursive least squares[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2025, 13(4): 5138‑5148.

YU Deshuo, YI Hao, ZHUO Fang, et al. Hysteresis current controller with fixed switching frequency and phase for interleaved converters[J]. IEEE Transactions on Power Electronics, 2024, 39(12): 15376‑15388.

REN Biying, SUN Xiaodong, YU Majing, et al. Circulating current analysis and the improved D‑Σ digital control strategy for multiparalleled three‑level t‑type grid‑connected inverters[J]. IEEE Transactions on Industrial Electronics, 2020, 67(4): 2810‑2821.

ZHANG Rui, CHI Shumei, XING Xiangyang, et al. Passivity‑based zero‑sequence LC resonance suppression method for parallel inverters system with modified LCL filter[J]. IEEE Transactions on Power Electronics, 2026, 41(2): 2618‑2628.

XU Haizhen, YU Changzhou, CHEN Chen, et al. Impedance model‑based stability analysis of single‑stage grid‑connected inverters considering PV panel characteristics and DC‑side voltage[J]. Protection and Control of Modern Power Systems, 2025, 10(4): 130‑145.

LIU Jiang, SUN Xiangdong, REN Biying, et al. Strong adaptability control based on dual‑division‑summation current control for an LCL‑type grid‑connected inverter[J]. IEEE Transactions on Power Electronics, 2022, 37(12): 14157‑14172.

LIU Jiang, SUN Xiangdong, CHEN Zechi, et al. A hybrid multiresonances suppression method for nonsynchronous LCL‑type grid‑connected inverter clusters under weak grid[J]. IEEE Transactions on Power Electronics, 2024, 39(5): 5386‑5399.

DING Dong, LIU Jiang, SONG Weizhang, et al. Extended application of improved D‑D‑Σ current control in synchronous inverter cluster considering N times equivalent impedance[J]. IEEE Transactions on Circuits and Systems I: Regular Papers, 2024, 71(3): 1346‑1357.

FANG Tianzhi, ZHANG Xianyun, HUANG Chun, et al. Control scheme to achieve multiple objectives and superior reliability for input‑series‑output‑parallel LCL‑type grid‑ connected inverter system[J]. IEEE Transactions on Industrial Electronics, 2020, 67(1): 214‑224.

CHEN Zechi, SUN Xiangdong, LIU Jiang, et al. Output power control strategy for omnidirectional wireless power transfer system based on maximum mutual inductance information estimation[J]. IEEE Journal of Emerging and Selected Topics in Power Electronics, 2024, 12(5): 5383‑5395.

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