复杂热源下不可逆诺维科夫热机最大功率输出

Maximum power output of irreversible Novikov heat engine with complex heat source

中文关键词: 有限时间热力学  不可逆诺维科夫热机  统计分布的热源温度  热漏  内部耗散  最大功率优化

英文关键词: Finite-time thermodynamics  Irreversible Novikov heat engine  Statistically distributed heat source temperature  Heat leakage  Internal dissipation  Maximum power optimization

中文摘要:

      考虑实际热机工作下的旁通热漏和内部耗散等不可逆因素，建立了包括连续均匀分布、三角形分布、二次分布和帕累托分布等四种不同的统计概率分布高温热源温度下的广义不可逆诺维科夫热机模型，导出了热机最大输出功率及相应的热效率和熵产率的随高温热源温度、内部不可逆性等因素变化的关系式。结果表明：热漏和内部耗散分别对热机性能有着不同的影响，热漏使统计热源温度分布下最大功率输出对应的热效率减小，同时也增大了熵产率，但对热机的最大功率输出无影响；内部耗散不可逆性使热机的最大输出功率及相应热效率均明显减小，但使熵产率先增大后减小；熵产率随高温热源温度的标准差增大而减小。研究结果对太阳能发电厂性能提升具有一定理论指导意义。

英文摘要:

      The irreversible factors such as bypass heat leakage and internal dissipation existing in real heat engines were considered. The generalized irreversible Novikov heat engine model included four different statistical probability distributions of high temperature heat sources: continuous uniform, triangular, quadratic and Pareto distributions. Based on the model, the relationships between the maximum output power of the heat engine, the corresponding thermal efficiency, the entropy generation rate and the high-temperature heat source temperature, internal irreversibility and other factors were derived. The results show that heat leakage and internal dissipation have different effects on the heat engine performance; heat leakage reduces the thermal efficiency corresponding to the maximum power output under the statistical heat source temperature distribution and increases the entropy generation rate but has no effect on the maximum power of the heat engine; the irreversibility of internal dissipation reduces the maximum power output of the heat engine and the corresponding thermal efficiency significantly, but increases the entropy generation rate firstly and then decreases; the entropy generation rate decreases with the increase of the standard deviation of the high-temperature heat source temperature. The research results obtained in this paper have certain theoretical guiding significance for the performance improvement of solar power plants.