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Linear-time Interval Algorithm For Time-varying Power Flow

Balanced steady operation state in power networks changes over time. Traditional power flow algorithm is focused on the steady operation state under a certain time point and calculates the corresponding voltage and power distributions for given nodal power injections and network topology. A linear-time interval algorithm for time-varying power flow is first proposed in this paper, which is focused on the balanced operation state under a time interval and computes the voltage and power distributions at any time point via a time-varying function, through which the power flow time-varying process is well represented in steady-date power networks. In this paper, a linear-time interval regarding nodal power injections is defined, in which the norms of nodal voltage derivatives and Jacobian matrix are analyzed, a combined time-varying nodal voltage function is proposed, and a linear-time interval algorithm for time-varying power flow with high accuracy is finally achieved, which is leveraged for simplifying the complexity of solving non-linear dynamic time-varying problems. Simulation case studies on IEEE 5-bus and modified 118-bus systems have demonstrated the effectiveness and efficiency of the proposed algorithm.