The branch flow based optimal power flow(OPF) problem in radianlly operateddistribution networks can be exactly relazed to a second order cone programming(SOCP) model without considering transformers. However, the introdution ofnonlinear transformer models will make the OPF model non-convex. This paperpresents an exact linearized transformer's OLTC model to keep the OPF modelconvex via binary expanstion scheme and big-M method. Validity of the proposedmethod is verified using IEEE 33-bus test system.
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