Modeling of a Low Temperature Rankine Cycle for Small Scale Cogen

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Modeling of a Low Temperature Rankine Cycle for Small Scale Cogen ( modeling-low-temperature-rankine-cycle-small-scale-cogen )

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Sylvain Quoilin Chapter 5 : Models The model of the expander permits to investigate more deeply the mechanical losses in the expander and in the transmission belt between the expander shaft and the torque meter. Figure 41 gives the measured power at the torque meter as a function of the internal power given by the expander model. The 3 distinct rotational speeds used are separated. Figure 41 shows that for each rotational speed, a constant power loss occurs, as well as proportional losses. The constant losses are different for each rotational speed and are modeled by the friction torque T m parameter. Since T m is a constant, the higher the rotational speed, the higher the constant losses. The proportional losses have several origins, but the main one is the belt efficiency. In the model, it is set to an hypothetical value of 0.95. Figure 41 shows a proportionality factor for each rotational speed (0.95 ; 0.91 and 0.91). The variations of this proportionality factor might have 2 origins : ● Better or worse alignment of the pulleys, or modification of the tension in the belt each time the pulley is changed. ● Presence of proportional losses in the expander. The selection between those two hypotheses is not possible with the measurements. This problem may be solved by placing the torque meter directly on the expander shaft. This would permit an exact calculation of the proportional losses, and the integration of those proportional losses in the model of the expander. Figure 41: Measure power at the torque meter vs internal power 83

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