We present a new optimal power flow (OPF) design that not only optimizes fuel cost but also enhances dynamic performance of a power system. Performance is quantified by the $H_2$ -norm of the transfer matrix from any disturbance input to a set of performance outputs, which in this case are chosen as the frequencies of the generators. The $H_2$ -norm models the attenuation of the frequency amplitudes following the disturbance, and thereby quantifies the amount of damping torque induced on the tie-line flows. The method, referred to as $H_2$ -power flow modification ( $H_2$ -PFM) is carried out in two steps. First, the regular OPF is solved to obtain the optimal generator setpoints for active and reactive power dispatch. Second, the load setpoints are re-tuned to minimize the aforesaid $H_2$ -norm while keeping the generator setpoints fixed. In particular, manipulating the load reactive power in this way is found to reduce the norm remarkably, improving disturbance attenuation and damping. A gradient descent algorithm is proposed for this minimization. Results are validated using the 68-bus test system with a solar farm.

中文翻译：

---

增强动态性能的最佳潮流设计：无功功率的潜力

我们提出了一种新的最佳功率流（OPF）设计，该设计不仅可以优化燃料成本，而且可以增强动力系统的动态性能。绩效由 $ H_2 $ -从任何扰动输入到一组性能输出的传递矩阵范数，在这种情况下将其选择为发电机的频率。的 $ H_2 $ -norm对干扰后频率振幅的衰减进行建模，从而量化在联络线上产生的阻尼扭矩量。该方法，简称 $ H_2 $ -潮流修改（ $ H_2 $ -PFM）分两个步骤进行。首先，求解常规OPF，以获得用于有功和无功功率分配的最佳发电机设定点。其次，重新调整负载设定点，以最大程度减少上述情况 $ H_2 $ -norm，同时保持发电机设定点固定。特别地，发现以这种方式操纵负载无功功率显着地降低了规范，改善了干扰衰减和阻尼。为此提出了一种梯度下降算法。结果通过带有太阳能场的68总线测试系统进行了验证。