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冷热电三联供系统(combined cooling heating and power,CCHP)的经济性受多种因素影响,需要在设计阶段进行系统的配置优化和运行优化。以年总费用(ATC)最低为目标构建了CCHP系统配置优化模型,同时构建了运行优化模型以确定最佳的运行方案。这两个模型均包含大量的逐时线性规划(linear programming,LP)模型,而常规循环求解方法求解耗时较长。通过对逐时LP模型分段消元,并引入图解法求解,将常规方法中的迭代循环转换成矩阵代数运算,可大大提高求解效率。计算案例显示:运行优化模型的求解时间从常规方法的78.500s减少到了0.015s,配置优化模型的求解时间从3 338.000s缩短至0.760s。极短的求解时间有利于CCHP系统的多方案对比和敏感性分析。
The economics of combined cooling heating and power (CCHP) are affected by many factors and require system configuration optimization and operational optimization during the design phase. The CCHP system configuration optimization model is constructed with the lowest total annual cost (ATC) and a running optimization model to determine the optimal operation plan. Both of these models contain a large number of linear programming (LP) models, whereas conventional cyclic solutions take longer to solve. By segmenting and eliminating the periodic LP model and introducing graphical solutions, the iterative loop in the conventional method is transformed into a matrix algebraic operation, which can greatly improve the solution efficiency. The calculation results show that the running optimization model reduces the solution time from 78.500s to 0.015s and the optimization model reduces the solution time from 3 338.000s to 0.760s. Very short solution time is conducive to CCHP system multi-program comparison and sensitivity analysis.