Joined Plant and Control Design for Continuous Variable Transmission Systems

Decomposition-Based Integrated Optimal Electric Powertrain Design

“…The existing studies that have investigated the benefits of CVTs in battery electric vehicle powertrain applications typically employ a simple static CVT model [5], [14], [15], where the dynamic behavior as well as the design of the transmission system itself are not considered. It has been shown that the design of the CVT can influence the resulting transmission energy consumption [16], [17]. This justifies the need to include the design of the CVT during the design process in an integrated manner.…”

Integrated Plant and Control Design of a Continuously Variable Transmission

“…A preliminary version of this paper was presented at the 2020 American Control Conference (ACC) [37], where we discussed the difference of the resulting CVT design obtained from using a simultaneous optimization approach and that of a sequential approach for the WLTC using a proportional feedback control scheme. In this extended version, we implement a proportional integral controller for the design of the CVT ratio tracking control subproblem in order to achieve a better performance.…”

“…The dynamics of ṙg depends on the balance between the applied and steady-state clamping force ratio, as well as the term c(r g ), which is a nonlinear term that relates the dimensionless speed ratio and the logarithmic value of the steadystate clamping force ratio [40]. When the CVT is shifting ( ṙg = 0), ln The term c(r g ) is expressed as a quadratic function of r g [37],…”

“…Hence, the steady-state clamping force ratio can be approximated as a function of ratio r g , wedge angle β, and torque ratio Υ(.) [37]:…”

A Decomposed Co-design Strategy for Continuously Variable Transmission Design

“…By horizontally moving the pulley sheaves on both the primary and secondary sides, the ratio of the input and output speed of a CVT is varied, which is done by the actuation system. A more detailed modeling of a CVT and its working principles can be found in [22], [23]. From now on, for the sake of simplicity, we drop the notation of time dependence whenever it is clear from the context.…”