Integrated Plant and Control Design of a Continuously Variable Transmission

Abstract

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Integrated Design of a CVT-equipped Electric Powertrain via Analytical Target Cascading

“…Furthermore, current studies typically employ a simple static CVT model [3], [8], [9], where the dynamic behavior of the system is not considered. In our previous research, we focused on jointly optimizing the geometric design and feedback controller of CVTs [10], also accounting for its low-level dynamics [11], but assuming that the primary mover's (combustion engine) size and operating points (e.g., the rotational speed and torque), as well as the desired ratio trajectory are given.…”

“…In this subsection, we discuss the CVT modeling, system dynamics, and the losses considered in this study. Interested readers are referred to [10], [20] for a more detailed explanation of the models. The CVT transmission ratio is defined as the ratio of the output to the input speed,…”

“…We aim to optimize the CVT with respect to the physical design as well as its control performance. The physical design parameters considered in this work are the pulley wedge angle β, shaft radius R 1 and pulley radius R 2 [10]. These parameters influence the CVT mass, which is expressed as…”

“…where M v is the pulley and belt mass which is described in [10]. The value of c m is shown in Table II.…”

A Convex Optimization Framework for Minimum Lap Time Design and Control of Electric Race Cars

“…The third line of research comprises optimal sizing of hybrid or battery electric vehicles. This sizing is typically based on either high-fidelity simulation models combined with derivative-free algorithms [28]- [31], nonlinear methods [32]- [35] and convex optimization [36]- [39], which have mainly been used in passenger or commercial applications. Even though nonlinear solvers were employed for optimal design and control in racing scenarios [40], [41], they still have the aforementioned drawbacks regarding global optimality, convergence and computation time.…”