Dimensioning of a LFP battery for a 3-DOF Lower Limb Exoskeleton
The purpose of the Matlab simulation was to calculate the capacity and power of the battery. The data base are trajectories for five different modes: Walking, Stairs-up, Stairs-Down, Sit-to-stand, Stand-to-sit.
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Import parameters
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Extract trajectory data from scientific literature with DataThief
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Import trajectories (either rpm and torque trajectories or mechanical power)
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If rpm and torque imported: calculate mechanical power in W/kg
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Get absolute values of mechanical power and add second leg (50% offset for walking, stairs-up and stairs-down)
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Calculate efficiency for motor based on rpm vs. efficiency over cycle (see plots)
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Calculate electrical power for each mode
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Outputs: Average power based on load collective, max. current based on peak power, capacity based on average power and running time
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Average current for each actuator
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Peak power reduction through supercaps
The following graph shows the power of the exoskeleton for the different modes:
Fig.1 - Power over CycleThe following results define the specs for the battery. It has to be noted that the high current results from the high torques in the stand-up and stairs-up mode. This torque can be reduced in practice by lowering the speed of the movements. (Movement speed of the trajectories was almost healthy human speed)
Battery Parameter | Value | Unit |
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Capacity | 661.6 | Wh |
Capacity | 13.8 | Ah |
Max. Current | 82.5 | A |
The final decision was to use two times the 48V, 10Ah, 30A LFP Battery with one battery for each leg.