Under the background of energy internet and low carbon

a decentralized low-carbon economic dispatch model of electricity-gas interconnected network in which demand side management（DSM） and carbon trading are taken into consideration is proposed. Firstly

according to the actual situation of the carbon trading market

a step-type carbon trading mechanism is established

and the low-carbon characteristics of power to gas（P2 G） are used to obtain the incentive mechanism for P2 G to participate in the carbon trading market. Secondly

according to the existing DSM mechanism and implementation mode

the DSM is considered on the load side to maximize the coordination of network’s low carbon and economic performance. Then

according to the non-convexity of the built model

the second-order cone relaxation of the gas network flow is performed and the continuous gap programming iterative algorithm is used to check its relaxation gap. The gradual reduction of the simulation error of the gas flow ensures the strictness of relaxation. In order to meet the decentralized autonomy and information privacy of different decision making subjects

a decentralized optimization model is built on the above basis and a synchronous alternating direction multiplier method（S-ADMM） is introduced to perform and iteratively solve the continuous cone programming algorithm. Finally

the simulation results of the system under different scenarios are analyzed and compared with the running results under different scheduling strategies. The results show that

under the tiered carbon trading mechanism

although the total carbon trading cost has increased by 0.02%

the carbon emissions and operating costs have reduced by 4.53% and 3.74%

respectively.The participation of DSM in the proposed model can reduce carbon emissions and wind curtailment by 9.87% and 75.4%

respectively.Therefore

the low-carbon economy of the electricity-gas interconnection network can be effectively improved.