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Power loss scaling laws of high-speed planetary reducers

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Abstract
Scaling laws are increasingly recognized as an interesting solution to accelerate the early stages of the development of drivetrains. Concerning gearboxes, prior studies focused on geometric scaling to achieve new desired torque and speed values and to predict mass, volume, and inertia. Power loss scaling laws are still lacking in literature. This paper seeks to bridge this gap by proposing scaling laws for the power loss of high-speed planetary reducers. Due to the lack of reliable information on the losses at high-speed, scaling laws are derived from an experimental campaign of 5 commercial planetary speed reducers. The proposed scaling laws are defined based on high-level specifications of the drivetrain, namely the maximal input speed, output torque, and gear ratio. The results suggest that the derived scaling laws can predict the efficiency and power losses with an average error of less than 1%, and 8% respectively relative to the measurements, considering a torque scaling factor of up to 4, speed scaling factor of up to 0.6 and gear ratio scaling factor of up to 2.
Keywords
Mechanical Engineering, Load-independent losses, Load-dependent losses, Efficiency maps, Experimental investigation, Drivetrains, Scalability

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MLA
Aroua, Ayoub, et al. “Power Loss Scaling Laws of High-Speed Planetary Reducers.” MECHANISM AND MACHINE THEORY, vol. 189, 2023, doi:10.1016/j.mechmachtheory.2023.105428.
APA
Aroua, A., Defreyne, P., Verbelen, F., Lhomme, W., Bouscayrol, A., Sergeant, P., & Stockman, K. (2023). Power loss scaling laws of high-speed planetary reducers. MECHANISM AND MACHINE THEORY, 189. https://doi.org/10.1016/j.mechmachtheory.2023.105428
Chicago author-date
Aroua, Ayoub, Pieter Defreyne, Florian Verbelen, Walter Lhomme, Alain Bouscayrol, Peter Sergeant, and Kurt Stockman. 2023. “Power Loss Scaling Laws of High-Speed Planetary Reducers.” MECHANISM AND MACHINE THEORY 189. https://doi.org/10.1016/j.mechmachtheory.2023.105428.
Chicago author-date (all authors)
Aroua, Ayoub, Pieter Defreyne, Florian Verbelen, Walter Lhomme, Alain Bouscayrol, Peter Sergeant, and Kurt Stockman. 2023. “Power Loss Scaling Laws of High-Speed Planetary Reducers.” MECHANISM AND MACHINE THEORY 189. doi:10.1016/j.mechmachtheory.2023.105428.
Vancouver
1.
Aroua A, Defreyne P, Verbelen F, Lhomme W, Bouscayrol A, Sergeant P, et al. Power loss scaling laws of high-speed planetary reducers. MECHANISM AND MACHINE THEORY. 2023;189.
IEEE
[1]
A. Aroua et al., “Power loss scaling laws of high-speed planetary reducers,” MECHANISM AND MACHINE THEORY, vol. 189, 2023.
@article{01H4DB7DSP2THDA7PJKZH7XN64,
  abstract     = {{Scaling laws are increasingly recognized as an interesting solution to accelerate the early stages of the development of drivetrains. Concerning gearboxes, prior studies focused on geometric scaling to achieve new desired torque and speed values and to predict mass, volume, and inertia. Power loss scaling laws are still lacking in literature. This paper seeks to bridge this gap by proposing scaling laws for the power loss of high-speed planetary reducers. Due to the lack of reliable information on the losses at high-speed, scaling laws are derived from an experimental campaign of 5 commercial planetary speed reducers. The proposed scaling laws are defined based on high-level specifications of the drivetrain, namely the maximal input speed, output torque, and gear ratio. The results suggest that the derived scaling laws can predict the efficiency and power losses with an average error of less than 1%, and 8% respectively relative to the measurements, considering a torque scaling factor of up to 4, speed scaling factor of up to 0.6 and gear ratio scaling factor of up to 2.}},
  articleno    = {{105428}},
  author       = {{Aroua, Ayoub and Defreyne, Pieter and Verbelen, Florian and Lhomme, Walter and Bouscayrol, Alain and Sergeant, Peter and Stockman, Kurt}},
  issn         = {{0094-114X}},
  journal      = {{MECHANISM AND MACHINE THEORY}},
  keywords     = {{Mechanical Engineering,Load-independent losses,Load-dependent losses,Efficiency maps,Experimental investigation,Drivetrains,Scalability}},
  language     = {{eng}},
  pages        = {{22}},
  title        = {{Power loss scaling laws of high-speed planetary reducers}},
  url          = {{http://doi.org/10.1016/j.mechmachtheory.2023.105428}},
  volume       = {{189}},
  year         = {{2023}},
}

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