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Parameterized fast decoupled load flow for tracing power systems bifurcation diagrams

机译:用于跟踪电力系统分叉图的参数化快速解耦潮流

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The conventional Newton and fast decoupled load flow methods are considered to be inadequate to obtain the maximum loading point due to ill-conditioning problems at and near this critical point. At this point the Jacobian matrix of the Newton-Raphson method becomes singular, and the assumptions made for the fast decoupled formulation no longer hold. However, as shown in this paper, with small modifications these methods become adequate for the computation of the complete bifurcation diagrams. They are also adequate for obtaining a single solution near the nose point or at the lower part of PV curve with flat start initialization. These new methods are compared to each other with the purpose of pointing out their features, as well as the influence of reactive power and transformer tap limits. The results obtained for the IEEE systems (14, 30, 57 and 118 buses) show that the characteristics of the conventional methods are preserved.
机译:传统的牛顿法和快速解耦的潮流方法被认为不足以在该临界点附近及其附近由于病态问题而无法获得最大负荷点。此时,牛顿-拉夫森方法的雅可比矩阵变得奇异,并且对快速解耦公式所作的假设不再成立。但是,如本文所示,这些方法只要稍加修改,就足以用于计算完整的分叉图。它们也足以通过平坦的启动初始化在前端点附近或PV曲线的下部获得单个解。将这些新方法相互比较,以指出它们的功能以及无功功率和变压器抽头极限的影响。针对IEEE系统(14、30、57和118总线)获得的结果表明,保留了常规方法的特性。

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