考虑实际动力装置的尺寸约束,基于有限时间热力学的思想建立了具有压降不可逆性的开式双轴燃气轮机循环模型。在该模型中,工质沿途有八种流阻。这些流动阻力均为模型入口相对压降的函数,控制着循环输出功率等性能参数。导出的性能参数的函数表明,通过改变质量流率(或沿通流路径压力损失)可以使开式双轴燃气轮机循环的热力学性能最优。结果表明,循环最大输出功率对应一个最佳的质量流率(或沿通流路径压力损失),如此也可以确定一个压气机压比的附加最大值。在燃油消耗和装置总尺寸约束条件下,对模型入口和出口之间的流通面积进行优化分配,可以进一步优化循环功率效率。
A thermodynamic model for open cycle gas turbine power plant of two shaft configuration with pressure drop irreversibilities is established using finite-time thermodynamics considering the size constraints of real plant. There are eight flow resistances encountered by the working fluid stream for the cycle model. These resistances associated with the flow through various cross-sectional areas are derived as functions of the compressor inlet relative pressure drop to control the air flow rate and the net power output. The analytical formulae about the power output and other coefficients are derived, which indicate that the thermodynamic performance for open two shaft gas turbine power plant can be optimized by adjusting the mass flow rate (or the distribution of pressure losses along the flow path). It is shown that there are the optimal air mass flow rates ( or the distribution of pressure losses along the flow path ) which maximize the net power output, and has additional maximum with respect to the compressor pressure ratio. When the optimization is performed with the constraints of the fixed fuel flow and the plant size, the net power output, cycle efficiency can be maximized again by properly allocating the fixed flow area among the compressor inlet and the dynamic turbine outlet.