| 引用本文: | 张勇,李晨,贾楠,刘念,王程.基于改进二阶锥松弛的多区域电-气综合能源系统优化调度快速求解方法[J].电力自动化设备,2020,40(7): |
| ZHANG Yong,LI Chen,JIA Nan,LIU Nian,WANG Cheng.Fast solution method for optimal dispatching of multi-area integrated electricity-gas systems based on improved second-order cone relaxation[J].Electric Power Automation Equipment,2020,40(7): |
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| 摘要: |
| 针对多区域电-气综合能源系统(MIEGSs)优化调度策略求解过程中面临的区域子问题非凸的难点，提出一种能快速求解的改进二阶锥(SOC)松弛方法。构建MIEGSs的数学模型，将管道方程约束松弛为线性约束，通过求解松弛模型得到管道流量初值，由初值确定管道流向；根据管道流向采用SOC松弛方法，从而避免引入整数变量，并得到区域子问题的最优解；进而采用交替方向乘子法(ADMM)迭代求解各区域子问题，实现各区域间协同。所提方法无需引入整数变量，使得所求解问题均为凸优化问题，能够保证ADMM算法的收敛性，并具有较快的求解速度。最后，通过算例仿真验证了所提方法的有效性和快速性，并分析了算例参数对所提方法性能的影响。 |
| 关键词: 多区域电-气综合能源系统 凸优化 分布式优化 改进二阶锥松弛方法 优化调度策略 |
| DOI：10.16081/j.epae.202007015 |
| 分类号:TM73;TK01 |
| 基金项目:国家电网公司科技项目(SGHE0000DKJS1900094) |
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| Fast solution method for optimal dispatching of multi-area integrated electricity-gas systems based on improved second-order cone relaxation |
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ZHANG Yong1, LI Chen2, JIA Nan3, LIU Nian3, WANG Cheng3
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1.State Grid Hebei Electric Power Company, Shijiazhuang 050011, China;2.National Electric Power Dispatching and Control Center, Beijing 100032, China;3.State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China
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| Abstract: |
| As for the difficulties of area sub-problem’s non-convexity in the solution of optimal dispatch strategy for MIEGSs(Multi-area Integrated Electricity-Gas Systems),an improved SOC(Second-Order Cone) relaxation method that can achieve fast calculation is proposed. The mathematical model of MIEGSs is deve-loped and the pipeline equation constraint is transformed into linear constraint by relaxation, the initial value of pipeline gas flow can be obtained by solving relaxation model, and the gas flow direction can be determined by the initial value. Based on this gas flow direction, SOC relaxation can be adopted without introducing integer variables, and the optimal solution of area sub-problem can be acquired. Then, ADMM(Alternating Direction Multipliers Method) is used to solve area sub-problems iteratively to achieve cooperation among areas. In total, the proposed method needs no integer variables introduced, guarantees the convergence of ADMM as only convex optimization problems are solved. In addition, the solution speed of proposed method is relatively high. Lastly, the effectiveness and rapidity of the proposed method are verified through simulation example, and the impact of system parameters on the performance of the proposed method is analyzed. |
| Key words: multi-area integrated electricity-gas systems convex optimization decentralized optimization improved second-order cone relaxation method optimal dispatching strategy |
