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44 3 Methods for Sizing and Performance of Hybrid-Electric Aircraft During takeoff and climb the maximal thrust is provided according to the thrust ratings. Rearranging Equation 3.10, the power of the combustion engine is given by Equation 3.18. ππΆπΈ = π πΏπΆπΈ Β· ππΆπΈ,πππ₯ (3.18) The fuel power supply (πππ’ππππ¦,πΉπ’ππ) is formulated in Equation 3.19 according to the effi- ciency of the combustion engine ππΆπΈ. The efficiency ππΆπΈ is obtained from the efficiency map described in Section 3.2.3.3. πππ’ππππ¦,πΉπ’ππ = ππΆπΈ (3.19) ππΆπΈ According to the fuel heating value πΉ π» π , the fuel flow of the combustion engine, first output of the energy table, is calculated according to Equation 3.20. πΉπΉ = πππ’ππππ¦,πΉπ’ππ πΉπ»π The second output of the energy table, ππΈπππ, is formulated in Equation 3.21. ππΈπππ = ππΏπΈπ Β· ππΈπ,πππ₯ + ππΈπππ,ππππ‘πππ (3.20) (3.21) ππππ΄π· Β·ππΈπ If the power of the EEPD turns to be limiting in Equation 3.11, the power of the combustion engine is determined by Equation 3.22. ππΆπΈ = ππhπππ‘ β (ππΏπΈπΈππ· Β· ππΈπΈππ·,πππ₯ β ππΈπππ,ππππ‘πππ) Β· ππππ΄π· Β· ππΈπ (3.22) In this case the ππΈπππ is formulated in Equation 3.23. ππΈπππ = π πΏπΈπΈπ π· Β· ππΈπΈπ π·,πππ₯ (3.23) 3.2.4.3.2 Serial Hybrid System For a given flight state (π₯πΌππ΄, π΄ππ‘, π) and according to a required thrust, the electric power required at the electric motor is determined according to Equation 3.24. ππΈπ = π Β· π Β· π (3.24) πππ· The power delivered by the generator (ππΊ) is calculated as a function of ππΈπ and ππΈπΈπ π·,πππ₯ according to Equation 3.25. ππΊ = ππΈπ β ππΏπΈπΈππ· Β· ππΈπΈππ·,πππ₯ (3.25) ππππ΄π· Β·ππΈπ ππΈπππ is determined according to Equation 3.23.PDF Image | Conceptual Design Methods Hybrid-Electric Transport Aircraft
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