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48 3 Methods for Sizing and Performance of Hybrid-Electric Aircraft 3.2.6.1 Propulsive Device Sizing The flow path sizing of the propulsive device is determined by the design point which occurs typically for medium-to-large commercial transport aircraft at TOC conditions [104]. The total thrust requirement at the design point is distributed among the number of propulsive devices, πππ·. The sizing ππππ ,ππ· is consequently obtained with Equation 3.29 with respect to the total design thrust (ππππ ). ππππ ,ππ· = ππππ (3.29) πππ· For a partial parallel hybrid system, the characteristics of the propulsive device driven by the conventional and the electrical system have to be analysed independently. In the following, the conventional propulsion system is denoted as the turbofan (TF). According to the total design thrust requirement, ππππ , and the specification of a level of π»ππ’π π, the ππππ ,ππΉ and the design thrust of the electrical fan (ππππ ,πΈπΉ ) are determined with Equation 3.30 and with Equation 3.31 respectively. ππππ ,ππΉ =ππππ Β·(1βπ»ππ’π π) (3.30) πππΉ ππππ ,πΈπΉ = ππππ Β· π»π π’π π (3.31) ππΈπΉ πππΉ and ππΈπΉ represent the installed number of turbofans and electric fans respectively. The knowledge of the design thrust ππππ ,ππΉ and ππππ ,πΈπΉ enables the characterization of the geometrical dimensions and weight properties of propulsion system as highlighted in Section 3.2.3.1 and in Section 3.2.3.2. As represented in Figure A.1, ππππ ,π πΉ enables the computation of the thrust and fuel flow characteristics of the turbofans. ππππ ,πΈπΉ is used in the performance map of the propulsive device for the calculation of the thrust characteristics of the electric fan. 3.2.6.2 Electric Motor Sizing By recalling the description of a parallel system in Figure 3.4, the electric motor is mechan- ically linked to the shaft of the gas-turbine. By specifying a level of π»π , the maximal power of the electric motor is formulated in Equation 3.32, ππΈπ,πππ₯ = π»π Β· πππΏπ (3.32)PDF Image | Conceptual Design Methods Hybrid-Electric Transport Aircraft
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