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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Sohel et al. 19 17 15 13 11 9 7 5 1 101 201 301 401 501 601 701 801 901 Time [h] 24 per. Mov. Avg. (Observed) 24 per. Mov. Avg. (Modelled) Figure 12: Vaporizer outlet pressure for 1000 hours of operation 220 210 200 190 180 170 160 150 140 130 120 1 101 201 301 401 501 601 701 801 901 Time [h] 24 per. Mov. Avg. (Observed) 24 per. Mov. Avg. (Modelled) Figure 13: Vaporizer outlet temperature for 1000 hours operation 2.8.2 The vaporizer outlet pressure Figure 12 presents the observed and modelled vaporizer outlet pressure for 1000 hours of operation of the vaporizer. A reasonably close match is easily perceived and the average percentage error is found to be 3.5%. The maximum value of percentage error is quite high (9.27%), and this occurred due to abrupt change in the mass flow of brine. This error occurred at 579 hours of operation which is the peak of a sudden change of mass flow (Figure 10). There were two big peaks of sudden mass flow change at around 580 hours and 700 hours that stayed for a while. These two peaks had a significant effect on the simulation results whereas they do not have the same significant effect on actual operations as these peaks are normally tackled by operators by changing the pentane level, bypassing excess pentane to the condenser, operating the purge system of the condenser manually, and the speed control system of the turbines etc. Therefore, the inability to control these peaks can be considered as a limitation of the developed model. Further models can be developed with capabilities to manage the effect of sudden change; however, the main idea of modelling the power plant is to predict future plant performance depending on geothermal resources and weather. With sudden changes in resource characteristics and weather, plant operators can take over the control from the automatic control. The legitimacy of not developing a model with ability to tackle sudden changes relies on it. 2.8.3 The vaporizer outlet temperature Figure 13 shows the observed and the modelled pentane temperatures at the vaporizer outlet. The average percentage error is found to be 1.1% and the percentage error has a maximum value of 5.14%. A good match between the actual and the modelled vaporizer temperatures is very important. The state of the pentane vapour (p, T, h) at the vaporizer outlet dictates how much energy is available to produce power as the turbine outlet pressure is given to the model externally. In actual plant operation, the turbine outlet pressure does not change much and it is related to the condenser pressure. 2.8.4 The electric power output Figure 14 presents the comparison of the actual and modelled electric power output from the ORC unit. It is evident from the figures (14-15) that the developed model is capable of predicting both daily and seasonal load changes. The average percentage error is 4.8%. All error is calculated as absolute value and the maximum value of percentage error is very high (31.46%). This error occurred at 619 hours of operation for the same reason as discussed in previous paragraphs. There are two peaks of brine mass flow at about 579 and 720 which are taken care of by operators and the control mechanism in place in actual plant operations. The error in vaporizer outlet temperature however, was not much affected by this sudden change in brine mass flow; the main reason behind it is that the dynamics of temperature change 10 Vaporizer outlet temperature [C] Vaporizer outlet pressure [bar]

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