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Analytical Modelling and Parametric Optimization of Hybrid Hydrogen-Electric Propulsion for Long-Endurance UAVs Cover

Analytical Modelling and Parametric Optimization of Hybrid Hydrogen-Electric Propulsion for Long-Endurance UAVs

Open Access
|Mar 2026

Figures & Tables

Fig. 1.

Functional architecture of the hybrid hydrogen–electric propulsion system assumed in the analytical model.

Fig. 2.

Conceptual layout and mass distribution of the baseline micro-to-small fixed-wing UAV assumed in the analytical model.

Fig. 3.

Range versus battery mass for different hydrogen loadings at a cruise speed of 25 m s-1.

Fig. 4.

Predicted endurance as a function of cruise speed for multiple hybrid hydrogen–electric configurations.

Fig. 5.

Contour map of predicted range as a function of battery mass and hydrogen mass at 25 m s-1.

Fig. 6.

Normalized range improvement of hybrid configurations relative to a battery-only UAV baseline.

Fig. 7.

Propulsive power requirement as a function of cruise velocity predicted by the analytical model.

Fig. 8.

Hybrid power-sharing characteristics during steady cruise flight predicted by the analytical model. (a)Fractional contribution of fuel-cell and battery power as a function of airspeed. At low and moderate velocities, the fuel cell supplies nearly the entire propulsive power demand, reflecting its role as the primary continuous energy source. As airspeed increases and aerodynamic power requirements grow, the battery contributes an increasing share of the total power, consistent with a hybrid operating strategy in which the battery provides transient or peak-power support while the fuel cell maintains baseline power delivery. (b)Hybridization ratio (γ) as a function of cruise velocity. The hybridization ratio, defined as the fraction of required propulsive power supplied by the fuel cell, remains close to unity at low speeds and decreases smoothly with increasing velocity as battery contribution rises. Values around γ ≈ 0.6 indicate a balanced hybrid operating regime in which battery loading is moderated while efficient utilization of the fuel cell is maintained. The smooth, monotonic trend reflects the internal consistency of the energy-sharing formulation adopted in the analytical model.

Fig. 9.

Mission-level energy utilization and endurance characteristics predicted by the analytical framework. (a)Energy contribution of the hydrogen fuel cell and battery over a representative mission segment, illustrating the dominant role of hydrogen in long-duration energy supply and the supporting function of the battery for transient loads. (b)Stacked comparison of total usable energy provided by each energy-storage subsystem, highlighting the relative contributions assumed in the hybrid architecture. (c)Endurance map as a function of battery mass and hydrogen mass, showing smooth scaling with hydrogen loading and diminishing returns for battery-dominated configurations. All results are derived under steady-cruise and constant-efficiency assumptions and are intended for conceptual comparison.

Fig. 10.

Endurance map as a function of battery mass and hydrogen mass predicted by the analytical framework.

Representative Hybrid UAV Performance Results (Analytical Predictions)_

Battery (kg)H2 (kg)Endurance (h)Range (km)Power (kW)Improvement (%)
3.00.003.21000.41
3.00.2518.97200.43620
3.00.5035.214000.441300
3.01.0068.037000.463000

Comparison of analytically predicted cruise-power requirements with representative values reported for small UAV platforms_

UAV SystemReported Cruise PowerModel PredictionDeviation
DJI Matrice 600 (hexarotor)0.4–0.6 kW0.45 kW< 10%
Hydrogen–Electric Fixed-Wing UAV [1]180–220 W195 W< 8%

j_tar-2026-0001_tab_005

SymbolDescriptionValue / RangeUnit
ρAir density1.225kg m-3
SWing area1.2m2
CD0Zero-lift drag coefficient0.025
kInduced-drag factor0.045
ηpropPropeller efficiency0.85
ηemMotor efficiency0.90
ηfcFuel-cell efficiency0.60
ρbattBattery energy density230Wh kg-1
LHVH2Hydrogen lower heating value1.20 × 108J kg-1
VCruise velocity15-35m s-1
mbattBattery mass1-5kg
mH2Hydrogen mass0-1kg

Reference Model Parameters Used in the Analytical Framework_

ParameterSymbolValueUnitSource / Note
Air density (sea-level reference)ρ1.225kg m-3ISA reference (adjusted in simulations)
Wing areaS1.2m2Typical micro-UAV configuration
Zero-lift drag coefficientCD00.025UAV aerodynamic literature
Induced drag factork0.045Empirical aerodynamic constant
Propeller efficiencyηprop0.85Assumed constant (conceptual level)
Fuel-cell efficiencyηfc0.60Typical PEM system
Motor efficiencyηem0.90BLDC motor
Battery energy densityρbatt230Wh kg-1Commercial Li-ion cells
Hydrogen lower heating valueLHVH2120 × 106J kg-1ISO standard
Structural mass (reference literature scaling value)mstruct10kgRepresentative UAV sizing
Payload mass (reference literature scaling value)mpayload2kgGeneric sensor payload

Baseline UAV Mass Breakdown Used in the Parametric Study_

ComponentSymbolValue (kg)Notes
Structural massmstruct0.85Wing, fuselage, empennage
Payloadmpayload0.10Small camera or sensor
Fuel-cell stackηfc0.18150–200 W PEM system
Hydrogen tankmtank0.25Type-IV,700 bar (≈5:1 tank:H2)
Hydrogen massmH20.05≈6 wt% of tank assembly
Battery packmbatt0.20Peak-power support
Avionics + ESCmelec0.07Flight control and wiring
Electric motormmotor0.12BLDC motor
Total massmtotal1.82Used in analytical calculations
Language: English
Page range: 1 - 37
Submitted on: Oct 10, 2025
Accepted on: Jan 9, 2026
Published on: Mar 14, 2026
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2026 Aswin Karkadakattil, published by ŁUKASIEWICZ RESEARCH NETWORK – INSTITUTE OF AVIATION
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.