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Sohel et al. change of thermal power output and change of angular momentum of the generator shaft: (45) Where, Pel is the electrical power output, Pth is the thermal power output, ηel is the electrical energy conversion efficiency and assumed to be constant, I is the mass moment of inertia and ω is the angular velocity. It is easy to show from the above equation that: Putting this value in equation 46 one gets: dPd d1 el= (η.P)+ (Iω2) 1 P2 P =η .P + I( el −ω2) (48) dtdτelth dτ2 elelth 20 2k P =η .P +1I(ω2 −ω2) el el th 2 0 (46) The simulation was carried out for 1000 hours of operation of the power generating unit. The ambient temperature and the brine mass flow rate were supplied to the model and it predicted the performance of ORC unit accordingly. Figure 8 summarises the ambient temperature for the 1000 hours of operation. The ambient temperature has both daily change and seasonal change. The seasonal change in temperature is easily understood from the Figure 8. To show how ambient temperature changes over a typical day, a magnified view of the marked area is presented in Figure 9. The condenser performance is directly related to the ambient temperature and consequently the electrical power output. Further discussion is presented later in this section. Figure 10 summarises the brine mass flow rate used for the simulation. Both the ambient temperature and the brine flow rate are actual values of an hour interval for 1000 hours of operation of the plant. Where, ω0 is the angular velocity at time, t= 0. Now, it is known that electric power produced in a generator is proportional to its angular velocity: P ∝ω,or, el Pel =kω, or ω = Pel (47) k Figure 8: Ambient temperature of the plant vicinity for 1000 hours of operation of the ORC unit (averaged 24 hours). 2.8 Results and discussion 30.0 25.0 20.0 15.0 10.0 5.0 0.0 1 101 201 301 401 501 601 Time [h] 701 801 901 18.0 16.0 14.0 12.0 10.0 8.0 6.0 4.0 2.0 0.0 1 4 7 10 13 16 19 22 Time [h] Figure 9: Ambient temperature of the plant vicinity for a day operation of the ORC unit. 8 Ambient temperature [C] Ambient temperature [C]PDF Image | Dynamic Modelling and Simulation of an Organic Rankine Cycle Unit of a Geothermal Power Plant
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