零和功率因子博弈
Zero-Sum Power Factor Games
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中文总结 AI 辅助
针对含分布式能源资源的电力网络电压调控问题，提出基于线性电压模型的鲁棒极小极大策略，通过功率因子比抵消有功注入影响，可应用于特定DER额定值，数值测试验证了其调控效果。
中文摘要 AI 辅助
由设备行为或调度异常引发的有功功率注入会增加含分布式能源资源（DER）的电力网络的电压调控难度。运营商可在观测到有功功率注入前，通过远程选择DER的无功功率参数来限制电压偏差。IEEE Standard 1547-2018规定恒定功率因子为这类控制模式之一，它将各设备的无功功率与实际有功功率耦合。基于线性电压模型，我们将运营商的决策建模为鲁棒极小极大问题，目标是最小化最大可行的总电压偏差。我们通过连续无功-有功功率比来表示功率因子决策，并根据电压偏差的符号精确分解收益，以此求解该问题。当所有可行电压残差均保持在其初始额定值侧时，所得比值可抵消各注入的影响，进而得到闭式极小极大策略。我们确定了该策略适用的实际DER额定值，并量化了受限功率因子范围内损失的调控能力。数值测试验证了抵消计算，在代表性DER额定值下直接求解完整极小极大问题，并对比了线性电压预测与非线性交流潮流的结果。
英文摘要
Variable active power injections arising from device behavior or compromised dispatch complicate voltage regulation in electric power networks with distributed energy resources (DERs). An operator can limit the resulting voltage deviations by remotely selecting DER reactive power parameters before observing the active power injections. IEEE Standard 1547-2018 specifies constant power factor as one such control mode, coupling each device's reactive power to its realized active power. Using a linear voltage model, we formulate the operator's decision as a robust minimax problem in which the operator minimizes the largest feasible aggregate voltage deviation. We solve this problem by expressing the power factor decisions through continuous reactive to active power ratios and exactly decomposing the payoff according to the signs of the voltage deviations. When every feasible voltage residual remains on its initial side of nominal, the resulting ratios cancel each injection's contribution and yield a closed form minimax strategy. We identify realistic DER ratings for which this strategy applies and quantify the regulation capacity lost under restricted power factor ranges. Numerical tests check the cancellation computation, solve the complete minimax problem directly at a representative DER rating, and compare the linear voltage predictions with nonlinear AC power flow.
