# Coordinated active-reactive power optimization considering photovoltaic abandon based on second order cone programming in active distribution networks

## TL;DR

This paper presents a method to optimize power flow in distribution networks with solar panels to reduce economic losses from unused solar energy and transmission losses.

## Contribution

A new convex optimization approach using MISOCP to minimize economic losses from PV abandonment and network losses in active distribution networks.

## Key findings

- The proposed method achieves small relaxation gaps and improved voltage levels in tested networks.
- Economic losses from PV abandonment and transmission are effectively minimized using the MISOCP approach.
- The method is validated on IEEE 33 and 69 bus systems with promising results.

## Abstract

On the basis of predecessors’ coordination optimization of active and reactive power in distribution network, For the necessity of the optimal operation in the distribution network, part of power generated from photovoltaic (PV) cannot be sold to users, and cannot enjoy subsidies. Similarly, the network loss in the power transmission will also bring a certain economic loss. This paper comprehensively considers the economic loss caused by the network loss and PV abandon of the distribution system, and establishes a model to minimize the economic loss. To solve this problem efficiently, the method of DistFlow equation and mixed integer second order cone programming (MISOCP) is used to solve the problem, in this method, the original mixed integer nonlinear programming non-convex problem is transformed into a convex problem, which makes the optimization problem easy to solve. The modified IEEE 33 and IEEE 69 distribution networks are tested by the above method. The optimized results are able to meet the target and have very small relaxation gaps, and the voltage level is also optimized. This coordinated optimization approach helps to optimize the economic operation for active distribution networks with PVs.