Electrical power generation, transmission and distribution systems are often simulated through the single-phase equivalent model by assuming the presence of only the positive sequence in the real system. The well known power flow (pf) analysis is typically used to determine the steady state solution of these single-phase models. After the pf solution was determined, other elements, such as for example synchronous generators and controllers, are initialised. This provides the initial conditions to subsequent transient stability analyses. Nowadays, this simulation approach may be no longer feasible due to the large penetration of unbalanced and/or electronic elements in the power systems. In this paper we present a novel numerical method that allows to freely compute the steady state solution of complex power systems made up of a “mixing” of conventional single-phase models and more complex, detailed three-phase models, for example of some portions of the transmission system and of the distribution ones. This steady state solution can be viewed as a generalization and/or an extension of the conventional pf.

中文翻译：

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建模为混合单相/三相子系统的电力系统的广义潮流分析

发电、输电和配电系统通常通过单相等效模型进行模拟，假设实际系统中仅存在正序。众所周知的潮流 (pf) 分析通常用于确定这些单相模型的稳态解。在确定 pf 解决方案后，其他元素，例如同步发电机和控制器，将被初始化。这为后续的瞬态稳定性分析提供了初始条件。如今，由于电力系统中不平衡和/或电子元件的大量渗透，这种模拟方法可能不再可行。在本文中，我们提出了一种新颖的数值方法，该方法允许自由计算由传统单相模型和更复杂、详细的三相模型（例如某些部分的“混合”）组成的复杂电力系统的稳态解。输电系统和配电系统。这种稳态解决方案可以被视为常规 pf 的推广和/或扩展。