Abstract
In the existing multi-period robust optimization method of
active and reactive power coordination in distribution networks, the
reactive power regulation capability of distributed generators (DGs),
operation costs of regulating equipment, and the current of shunt
capacitance of cables are not taken into account. In this paper, based
on branch flow equations, a multi-period two-stage mixed integer
second-order cone programming (SOCP) robust optimization model of active
and reactive coordination in distribution system with cables is
developed considering the reactive power regulation capability of DG,
action costs of switched capacitor reactor (SCR), on load tap changer
transformer (OLTC), energy storage system (ESS), and current of shunt
capacitor of cables. Further, against to the deficiency of low
computational rate of column and constraint generation method (CCG), a
novel method iteratively solving the first and second stage model on
cutting plane is proposed. In the first stage model, the number of
variables and constraints keeps constant during the iteration. In the
second stage model, it only needs to solve the model of each single time
period. Then their results are accumulated. Thus, the computational
speed using the proposed method is much higher than CCG. The
effectiveness of the proposed method is separately validated on the
4-bus, IEEE 33-bus, and PG69-bus distribution systems.
