Abstract: Under the background of multi-energy complementary and integrated energy systems in the future, the traditional mode of independent dispatching operation of the electricity distribution network and gas distribution network can no longer meet the requirements of multiple energy complementary operations. In order to solve this problem, a convex optimization method for optimal power flow of coordinated electricity and natural gas distribution networks is proposed, that is, the second-order cone programming method is used to deal with the power flow equation constraints of the electricity distribution network, and a method combining enhanced second-order cone programming and Taylor series expansion (TSE) is used to constrain the natural gas power flow equation. After reformulation, ,the nonlinear optimal scheduling problem of the integrated electricity and natural gas distribution system is transformed into a mixed integer second-order cone programming model, which provides support for gas/electricity coordinated optimal operation and planning of integrated electricity and natural gas distribution network. At the same time, integrated electricity-gas demand response was introduced into the distribution system to improve the controllability and flexibility of the system dispatch, thereby better consuming renewable energy to achieve the optimal operation of the distribution network system. The case study shows that the combined method of enhanced second-order cone programming and TSE can better improve the second-order cone relaxation accuracy of the gas distribution network, and the integrated electricity-gas demand response can improve the economics of the distribution system operation and the accommodation of renewable energy.