Abstract The fundamental issue in the energetic performance of power plants, working both as traditional fuel engines and as combined-cycle turbines (gas-steam), lies in quantifying the internal irreversibilities which are associated with the working substance operating in cycles. The purpose of several irreversible energy converter models is to find objective thermodynamic functions that determine operation modes for real thermal engines and at the same time study the trade-off between energy losses per cycle and the useful energy. As those objective functions, we focus our attention on a generalization of the so-called ecological function in terms of an ϵ parameter that depends on the particular heat transfer law used in the irreversible heat engine model. In this work, we mathematically describe the configuration space of an irreversible Curzon–Ahlborn type model. The above allows to determine the optimal relations between the model parameters so that a power plant operates in physically accessible regions, taking into account internal irreversibilities, introduced in two different ways (additively and multiplicatively). In addition, we establish the conditions that the ϵ parameter must fulfill for the energy converter to work in an optimal region between maximum power output and maximum efficiency points.

中文翻译：

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考虑传统单循环和联合循环电厂生态准则推广的能量优化

摘要 发电厂作为传统燃料发动机和联合循环涡轮机（燃气蒸汽）工作的能量性能的基本问题在于量化与循环工作的工作物质相关的内部不可逆性。几个不可逆能量转换器模型的目的是找到客观的热力学函数，以确定实际热力发动机的运行模式，同时研究每个循环的能量损失和有用能量之间的权衡。作为这些目标函数，我们将注意力集中在所谓的生态函数的泛化上，该函数依赖于不可逆热机模型中使用的特定传热定律的 ϵ 参数。在这项工作中，我们在数学上描述了不可逆 Curzon-Ahlborn 型模型的配置空间。以上允许确定模型参数之间的最佳关系，以便电厂在物理可访问区域运行，同时考虑到以两种不同方式（加法和乘法）引入的内部不可逆性。此外，我们建立了 ϵ 参数必须满足的条件，以使能量转换器在最大功率输出和最大效率点之间的最佳区域内工作。