As the coupling and interaction between power systems and natural gas systems is becoming more and more frequent

it is necessary to consider the interdependence between the two to realize integrated optimization of electric-gas energy flow. In this paper

a decomposition coordination interactive mechanism is proposed by considering the characteristic of multi decision-makers. Then

a distributed approach based on the alternating direction method of multipliers(ADMM)is developed to realize the distributed optimization between the power flow and gas flow. A serial iterative mode of ADMM based on Gauss-Seidel and a parallel iterative mode of ADMM based on Proximal Jacobian are given

respectively

and the differences between the two modes in communication

efficiency and application scope are discussed. Case studies based on the two integrated systems

namely

RTS79-GAS14 and IEEE 118-GAS90

demonstrate the effectiveness and feasibility of the proposed approach. This work is supported by Fundamental Research Funds for the Central Universities(No. 106112016CDJXY150002).