关于恒功率器件的电阻网络
On Resistive Networks of Constant Power Devices
摘要:
本简介探讨了直流电路的行为,包括相互连接的恒定功率设备,可能会出现在直流微电网包含微源和恒定功率负载。我们推导出一个充分条件的所有工作点的电路位于一个理想的集合,其中的平均节点电压电平是高的,节点电压是紧密聚集在一起。我们的条件具有优雅的物理解释,即电阻损耗与总注入功率的比率与网络异质性的度量相比应该很小,如通过电导矩阵特征值的比率量化的。也许令人惊讶的是,电路拓扑结构,支路电导和恒定功率器件之间的相互作用隐含地定义了电路的标称电压电平,尽管明确没有电压调节节点。
英文摘要:
This brief examines the behavior of DC circuits comprised of resistively interconnected constant power devices, as may arise in DC microgrids containing micro-sources and constant power loads. We derive a sufficient condition for all operating points of the circuit to lie in a desirable set, where the average nodal voltage level is high and nodal voltages are tightly clustered near one another. Our condition has the elegant physical interpretation that the ratio of resistive losses to total injected power should be small compared to a measure of network heterogeneity, as quantified by a ratio of conductance matrix eigenvalues. Perhaps surprisingly, the interplay between the circuit topology, branch conductances and the constant power devices implicitly defines a nominal voltage level for the circuit, despite the explicit absence of voltage-regulated nodes.
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