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Aerospace 2018, 5, 123 17 of 21 6. Simulation Results The solution of the previous problem is carried out using MATLAB. In order to obtain the best solution for the considered hybrid propulsion system, different numerical simulations are reported. In particular, as previous mentioned, two different levels of VDC,link are considered, and the simulations are performed using the cells reported in Table 6. The simulation of many cells with different capacity and discharge rate permits, also, finding the most suitable cells characteristics for the application. In the simulations, a maximum DDC,max of 6 has been assumed. Table 6. Cell characteristics. Type of Cells Cell-1 Cell-2 Cell-3 Cell-4 Cell-5 Cell-6 Cell-7 Cell-8 Cell-9 Vn (V) Capacity (Ah) 25.2 12 Internal Resistance (mΩ) 2.8 3.8 1.1 1.6 0.6 0.6 37 Mass of a Single Cell (kg) 1.19 0.34 0.41 0.280 1.74 1.78 0.048 0.063 0.069 Max Continuous Discharge Current 2C 5C 8C 8C 5C 8C 2C 3C 3C 3.6 3.6 3.6 3.6 3.6 3.7 3.7 3.7 16 16 11 70 75 3.3 4.25 37 4.7 10 In Table 7, the results obtained for Engine_2 are reported. In this case, the electric power-train supplies the power difference only during the take-off and the climb phase. The results are quite similar for both the two DC-link voltage levels. The best results are reached with Cell-9. Due to the absence of great peak power, the nearest results, in terms of weight, are all obtained with the cells characterized by a low value of discharge rate. Table 7. Engine_2. Total Mass (kg) ns Total Mass (kg) 540 V 9 450 107 473 107 564 119 566 106 553 99 529 97 461 131 330 74 327 Cell-1 Cell-2 Cell-3 Cell-4 Cell-5 Cell-6 Cell-7 Cell-8 Cell-9 np ns 270 V 126 3 24 58 24 58 46 44 6 53 9 33 291 33 76 69 64 74 450 473 565 567 553 529 461 330 327 np Cell-1 42 Cell-2 13 Cell-3 13 Cell-4 17 Cell-5 3 Cell-6 3 Cell-7 99 Cell-8 40 Cell-9 64 The results obtained for the Engine2_SFCmin, with the optimization of fuel consumption and for Engine_3, are reported in Tables 8 and 9, respectively. Table 8. Engine2_SFCmin. Cell-1 Cell-2 Cell-3 Cell-4 Cell-5 Cell-6 Cell-7 Cell-8 Cell-9 np ns 270 V 159 6 91 55 77 65 280 26 22 52 21 51 328 74 248 76 426 40 Total Mass (kg) 1135 1702 2032 2038 1991 1906 1165 1187 1176 np Cell-1 53 Cell-2 91 Cell-3 77 Cell-4 70 Cell-5 11 Cell-6 12 Cell-7 296 Cell-8 304 Cell-9 284 ns Total Mass (kg) 540 V 18 1135 55 1702 65 2032 104 2038 104 1991 89 1901 82 1165 62 1187 60 1176PDF Image | Turboprop Hybrid Electric Propulsion System
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