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With distributed generation highly integrated into the grid, thetransmission-distribution-coupled AC OPF (TDOPF) becomes increasinglyimportant. This paper proposes a response-function-based coordination method tosolve the TDOPF. Different from typical decomposition methods, this methodemploys approximate response functions of the power injections with respect tothe bus voltage magnitude in the transmission-distribution (T-D) interface toreflect the "reaction" of the distribution to the transmission system control.By using the response functions, only one or two iterations between thetransmission system operator (TSO) and the distribution system operator(s)(DSO(s)) are required to attain a nearly optimal TDOPF solution. Numericaltests confirm that, relative to a typical decomposition method, the proposedmethod does not only enjoy a cheaper computational cost but is workable evenwhen the objectives of the TSO and the DSO(s) are in distinct scales.

A Response-Function-Based Coordination Method for Transmission-Distribution-Coupled AC OPF