【摘要】 在综合能源系统背景下,提出一种计及碳交易机制的低碳动态电—气最优能流模型。考虑到气流传输的延迟特性,采用时空偏微分方程精确描述气流动态。此外,该模型引入一种碳交易机制以充分发挥电—气互联系统的经济与低碳效益。为实现电—气互联网络的分散优化并得到一个可靠的高质量解,提出两种内外层相协调的凸分散优化方法——罚凸凹过程(PCCP)-Benders和PCCP-交替方向乘子算法(ADMM)。在此凸分散优化框架下,外层优化基于一种PCCP将非凸气流动态凸化成一个迭代的二阶锥规划,而内层优化分别基于Benders分解和ADMM求解外层PCCP迭代的每一步。最后,通过算例仿真对比分析了上述两种凸分散优化算法的计算性能,并详细分析了碳交易成本对系统运行的影响,所得结果验证了文中模型及算法的有效性。更多还原

【Abstract】 To adapt to the"Energy Internet",this paper proposes a low-carbon dynamic optimal gas-power flow model with carbon trading.However,the dynamic characteristics of gas flow are remarkably slower than those of power flow,the spacetime partial differential equations are used to accurately describe the dynamic gas flow.In addition,this model introduces a carbon trading mechanism for fully exploiting economic and low-carbon benefits of the integrated electricity and natural gas energy system.In order to achieve the decentralized optimization of gas-power interconnection network and obtain a high-quality solution,two kinds of inner and outer-coordinated convex decentralized optimization methods,named as penalty convexconcave procedure(PCCP)-Benders and PCCP-alternating direction method of multipliers(ADMM),are proposed.In this framework,the outer layer based on a PCCP transforms the non-convex dynamic gas flow into a second-order cone programming and the inner layer solves each step of the outer PCCP iteration with Benders decomposition and ADMM.Finally,a calculation example tests the optimization performance of PCCP-Benders and PCCP-ADMM,while the operation effect with different carbon trading prices is investigated in detail,the validity of model and algorithm is verified by the results.更多还原