Summary
Because of the high penetration of distributed generation, energy storage systems, and flexible loads, nodal power injections in active distribution networks (ADNs) would vary frequently and significantly. Thus, it becomes crucial to accurately and quickly assess the influence of power injection variations on key operation status of ADNs, such as nodal voltages, line losses, and branch power flows. Meanwhile, modern ADNs may include nonradial and DC network segments, which make power flow analysis more complicated. In this paper, power flow models of ADNs while considering nonradial topologies and hybrid AC/DC networks are analyzed to derive a suite of power sensitivity models with wide adaptability, including a quadratic sensitivity model of nodal power injections to line losses, a linear sensitivity model of nodal power injections to nodal voltages, and a quadratic and a simplified linear sensitivity models of nodal power injections to branch powers. Numerical results evaluate the accuracy and efficiency of the proposed sensitivity models.