Scaling laws based metamodels for the selection of the cooling strategy of electromechanical actuators in the early design stages

Abstract

a b s t r a c tThe integration of electromechanical actuation systems for aerospace applications requires additional thermal stress considerations during the preliminary design, which were not necessary within the hydraulic technology. The favored models during this design phase are simple, continuous and explicit mathematical expressions to enable easy analytical manipulations or implementations in worksheets or optimization loops. The paper shows how such models can be obtained for the desired applications, illustrating the example of a Limited Angle Torque Motor (LATM) with different cooling strategies. The used method for gathering the models is a regression process on data obtained by finite element simulations. The originality of the method stands in the physical insight of the regression function which is based on scaling laws and dimensional analysis. An example of preliminary design of a LATM illustrates the use of the obtained models for the comparison of two possible architectures intended to minimize the mass of the actuator by implementing different cooling strategies.

Dimensional analysis and surrogate models for the thermal modeling of Multiphysics systems

“…This mathematical form enables the main behavior of mechanical [22] or mechatronic components [23] to be represented in a simple way. The SLAWMM method [24,25] extends the validity of scaling laws by replacing the = and : constant coefficients in equation 10by functions of numbers (Equation 11in Table 2). The regressions obtained have been compared to classical meta-models and show the interest of the physical basis of scaling-law-based meta-models for preliminary sizing of components: their shape is easy to handle while remaining valid over a wide range of sizes, for prediction or even extrapolation purposes.…”