Abstract
This contribution presents a method to find an optimal topology and control for a hydrostatic transmission system that is equipped with a hydraulic accumulator. The goal is to minimize wear in the system while fulfilling a predefined load cycle given by speed and force requirements during the retraction and extension of a piston. The degrees of freedom of the design are the selection and the connection of valves with the system’s piston, pressure source and tank as well as the sizing of the accumulator. We derive a mixed-integer nonlinear program, which contains continuous variables for the quasi-stationary flow, pressure and valve conditions, as well as binary variables to include selection decisions and valve circuits. Pressure and wear conditions are modeled by nonconvex nonlinear functions. To solve the problem, we use a reformulation which approximates the valve wear by a quadratic polynomial depending on volume flow and pressure difference and use a technique based on perspective cuts. Our optimization results show that the inclusion of the accumulator reduces the wear related material costs by one third.
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Funding
This research was funded by Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – project A9 within SFB 805 (Project Number 57157498).
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Altherr, L.C., Leise, P., Pfetsch, M.E., Schmitt, A. (2022). Optimization of Wear Related Material Costs of a Hydrostatic Transmission System via MINLP. In: Trautmann, N., Gnägi, M. (eds) Operations Research Proceedings 2021. OR 2021. Lecture Notes in Operations Research. Springer, Cham. https://doi.org/10.1007/978-3-031-08623-6_49
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DOI: https://doi.org/10.1007/978-3-031-08623-6_49
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