Abstract:
In this work, we conduct a thermodynamic analysis and optimization of the Quan tum Spin Hall Effect (QSHE) heat engine. The analysis employs fermion gas as the working medium and utilizes a quantization method for the working medium. We calculate the maximum power output and the corresponding efficiency at this max imum power using A.C. Hernandez's optimization approach. In this approach, the maximum efficiency is set to the Carnot efficiency, while the minimum efficiency (ef ficiency at maximum power) is set to one-fifth of the Carnot efficiency.
We optimize the developed objective function with respect to the temperature differ ence between the heat reservoirs. Our findings indicate that the engine utilizes more than 60% of the maximum available power at very small temperature differences. However, at the maximum value of the optimized temperatures, the engine operates at less than 15% of its peak power. Additionally, the scale efficiency of the engine increases as the temperature difference increases.
Therefore, compared to the maximum power operating mode, the optimal operat ing mode offers a significant advantage in terms of efficiency. Overall, our results demonstrate that the QSHE heat engine performs better than existing engines and approaches the Carnot efficienc
