含禁止区间的电力系统经济调度求解方法  

Power system economic dispatch algorithm with prohibited zones

作　　者：丁涛[1] 郭庆来[1] 孙宏斌[1] 柏瑞 姚峥毅 

机构地区：[1]清华大学电机工程与应用电子技术系,电力系统及发电设备控制和仿真国家重点实验室,北京100084 [2]中西部独立输电系统运营商,圣保罗市55108,美国 [3]宝鸡市供电局,宝鸡721004

出　　处：《清华大学学报（自然科学版）》2013年第4期447-452,共6页Journal of Tsinghua University(Science and Technology)

基　　金：国家“九七三”重点基础研究项目(2013CB228205);国家自然科学基金面上项目(51277105);国家自然科学基金杰出青年基金(51025725)

摘　　要：发电机的物理限制可能在一些区域使得轴承振动放大,为此需对传统电力系统经济调度模型中设置发电机运行的禁止区间。对于忽略网损的简化模型,该问题可转化为混合整数二次规划模型,并采用分支定界的方法求解;当考虑非线性网损后,根据B系数法将网损表示为二次形式,同时利用交替间断点构造连续插值函数并建立了非线性非凸优化模型,以忽略网损模型的优化解为初值,采用内点法求解该模型,得到最终的优化解。采用6机和15机系统进行测试,并与已有的10种方法进行对比,结果表明了该文所提方法的有效性和快速性;最后对200机大规模系统进行测试,给出了计算时间复杂度的分析。Vibrations in a shaft bearing can be amplified in other seemly unconnected regions due to the generators＇ physical limitations. Therefore, the traditional economic dispatch model should include prohibited zones. By ignoring the network losses, the problem can be transformed into a mixed integer quadratic programming （MIQP） and solved using the branch and bound method. If the losses are considered, the problem can be represented with a quadratic generation term according to the B-coefficient method, with the nonlinear non convex model set up using polynomial interpolation. Taking the optimal value of the MIQP model as the starting point, this model can then be solved using the interior point method. The method was tested with 6 and 15 generator systems and compared with 10 existing methods. The results show the effectiveness and efficiency of this method. Finally,the time complexity was analyzed with a 200 generator system.

关 键 词：经济调度 禁止区间 混合整数二次规划 内点法 网损微增率 分支定界 

分 类 号：TM761.22[电气工程—电力系统及自动化]