Dynamic Modelling and Simulation of an Organic Rankine Cycle Unit of a Geothermal Power Plant

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Dynamic Modelling and Simulation of an Organic Rankine Cycle Unit of a Geothermal Power Plant ( dynamic-modelling-and-simulation-an-organic-rankine-cycle-un )

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Figure 10: Brine mass flow rate for 1000 hours of operation of the ORC unit. Figure 11: Vaporizer pentane level for 1000 hours of operation of the ORC unit 2.8.1 The vaporizer pentane level The pentane level in the vaporizer plays a very significant role in the system dynamics. There is a feedback control mechanism to control the pentane level. An operator gives a set point (reference value) from the key board as judged appropriate depending on their experience. Once a set point is provided, it takes about 10-15 minutes for the controller to change the pentane level from its original to the new set point. After the controller takes over, the pentane level does not change significantly. The controller does not take into account the flow rate of the pentane outlet of the vaporizer directly but measures the pentane level. The pentane mass flow is a direct consequence of the of the heat transfer from the brine to the pentane in the vaporizer and the quantity of heat transfer is dependent mainly on the brine flow rate as the brine is fed at a constant temperature. The brine flow rate has changed significantly over time from the designed value or even from the state when the plant was first built. In case of abrupt change in the brine mass flow, the operators change the pentane level’s set point and there is also a control mechanism which bypasses the pentane vapour in case of a sudden increase in pentane vapour generation. A PID Simulink block has been used (P=0.8; I= 0.01; D= 0.01) as the controller. If the level control mechanism works properly, other than from the effect of sudden change in brine mass flow, the pentane level in the vaporizer can be assumed to have an insignificant effect. Figure 11 compares the actual pentane level, the pentane level with the feedback control having its level set point at 84% and the pentane level without feedback control. It can be seen from Figure 11 that, at about 75 hours of operation of the unit, the model with feedback control gives a better match with the actual value. However, over time, it changes and the model without the feedback controller gives a close match. By choosing an appropriate value of the set point of the pentane level, the feedback control will eventually give a better result than the model without feedback control. However, a feedback loop is associated with a long simulation time and clumsy calculations. As can be seen from the Figure, the difference in result between the model without feedback control and the actual is not very significant and it can be assumed that the control mechanism is in use and it makes the pentane level follow a set point. This will save a lot of calculations and consequently computation time at the expense of accuracy. Nonetheless, the model without feedback control produces reasonably accurate results. All the results of simulation presented in this section use no feedback control for the vaporizer pentane level. Sohel et al. 250 200 150 100 50 0 1 101 201 301 401 501 601 701 Time [h] 801 901 120 100 80 60 40 20 0 1 101 201 301 401 501 601 701 801 901 Time [h] 24 per. Mov. Avg. (Observed) 24 per. Mov. Avg. (Modelled with control arrangement) 24 per. Mov. Avg. (Modelled without control arrangement) 9 Vaporizer pentane level [%] Brine mss flow rate [kg/s]

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