摘要
本文以多周期多设备冰蓄冷系统运行的动态过程为主要约束,以设备运行状态等为离散优化变量,以设备流体流速等为连续优化变量,以系统运行总费用为目标函数,建立了非线性非光滑的混合整数规划,并论述了该规划问题最优解的存在性。依离散优化变量的有限性,把这个优化问题等价地分解成有限多个关于连续优化变量的线性规划,构造具体的优化算法。最后应用于一个实际冰蓄冷系统,表明了本文的数学模型及优化算法等的正确与有效性,达到缓解用电高峰的用电量,并降低了用户的运行费用。
This paper considers the optimization of an multi-period and multi-equipment ice storage system. Taking the dynamic process of the ice storage system as constraint, a nonlinear and non-smooth mixed integer optimization model is built, with the running state of equipments as discrete variables, the flow rate of fluid in the equipmentsas continuous variables, and the total system running cost of the system as cost function. The existence of solutions to the optimization problem is explored. Due to the finiteness of the admissible set of the dis- crete variables, the optimization problem is equivalently divided into a finite number of sub-optimization prob- lems, which are the form of linear programming with continuous variables to be optimized. An optimization algo- rithm is then constructed. Numerical results are implemented on a factual ice storage system, revealing that both the power consumption in electricity peak and the running cost for user are reduced considerably. So the mathematical model and optimization algorithm is valid.
出处
《运筹与管理》
CSSCI
CSCD
北大核心
2012年第4期22-28,共7页
Operations Research and Management Science
关键词
冰蓄冷
系统优化
混合整数优化模型
优化算法
ice storage
system optimization
mixed integer optimization model
optimization algorithm
