本研究應用黃金正弦演算法進行電網形成型變流器之積分控制增益的調整，以使三台電網形成型變流器於孤島運轉模式時之虛功率分配更為均勻化。本文所提演算法結合正弦函數之線性波動特性與黃金比例搜尋機制，兼具全域搜尋與區域優化能力，可有效提升最佳化參數之搜尋效率。本文模擬兩種情境進行測試，包括三台電網形成型變流器於孤島運轉模式時之正常運轉，以及其中一台電網形成型變流器故障跳脫之情況，然後針對上述情境，本文分析負載突增與卸載時之各台變流器功率分配情形，而為驗證所提方法之可行性，本文採用兩種控制方法進行比較，模擬結果顯示，黃金正弦演算法可求得積分控制增益之最佳值，於應用至自適應虛擬阻抗控制迴路時，可用於補償各變流器至責任分界點間線路阻抗差異，進而降低虛功率偏差之誤差絕對值之時間積分值，有助於變流器間之虛功率分配均勻化，並有效提升系統之韌性運轉能力。

This study applies the golden sine algorithm (GSA) to optimize the integral control gain of grid-forming inverters, aiming to improve the reactive power sharing among three inverters operated in islanded mode. The proposed algorithm integrates the linear oscillatory characteristics of the sine function with the golden section search mechanism, achieving a balance between global exploration and local exploitation, thereby enhancing the efficiency of control parameter optimization. Two simulation scenarios are developed to evaluate system performance. One involves standard islanded operation of three grid-forming inverters, while the other includes a fault-induced disconnection of one inverter. In both scenarios, the system’s response to sudden load increases and load shedding is analyzed to assess reactive power sharing behavior. To validate the effectiveness of the proposed method, two control strategies are implemented for comparative analysis. Simulation results confirm that the proposed method efficiently optimizes the integral control gain, enabling the adaptive virtual impedance control loop to effectively mitigate line impedance mismatches between inverters and the point of common coupling. This compensation significantly reduces the integral time absolute error of reactive power deviation, thereby enhancing reactive power sharing uniformity among inverters and improving the overall system resilience.

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