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Solar energy is great, but it can cause problems for electrical grids. With the increase in photovoltaic panels, keeping voltage stable becomes a challenge. A new distributed method allows inverters to regulate voltage autonomously, using real-time measurements and communication with neighbors. This system, called DOPP, works even with communication delays. Tests on a modified network showed that the method regulates voltage in seconds, keeping it always within the safe range. In dynamic scenarios, it ensures 100% compliance, outperforming traditional methods.

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The proposed method is based on a Distributed Online Primal–Dual Push–Sum (DOPP) algorithm that integrates a fixed-step delay model into the push-sum coordination framework. This approach allows each inverter to make local decisions based on real-time measurements and communication with neighboring PV nodes. The system was tested on a modified IEEE 123-bus network, demonstrating robust performance in both static and dynamic scenarios. Specifically, the method quickly eliminates voltage violations within 50–100 iterations, keeping all nodal voltages within the acceptable range of [0.95, 1.05] p.u. even with feedback delays of up to 10 steps. In dynamic scenarios, the method ensures 100% voltage compliance, outperforming the performance of traditional droop and incremental control methods.

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Authors:
Jinxuan LiuYanjian PengXiren ZhangZhihao NingDingzhong Fan
Date Published:
Original Article www.mdpi.com
Fact-check verified on 10/10/2025
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Creative Commons License CC BY-NC-SA 4.0

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