Modeling Transmissions

Transmission Templates

The Transmissions library provides subsystem templates for modeling geared transmission systems with four to nine speed settings. The templates use Simscape™ Driveline™ and Simscape blocks to represent the transmission components—their gears, clutches, and brakes. An embedded Simulink® subsystem defines the clutch schedule.

Use the templates as starting points and examples for your own transmission models. The template blocks are not library-linked, so you can modify them to suit your needs. Add, remove, or reconnect blocks to change the transmission structure. To capture transmission losses due to gear meshing or viscous damping, modify the block parameters.

Transmission Ports

The transmission template blocks each have three ports. Two ports, labeled B and F, are rotational conserving ports. They represent, interchangeably, the input and output shafts. One port, labeled Gear, is a Simulink input port. Use this port to shift gears during simulation.

Gear Input Signal

The input signal to the Gear port sets the transmission gear according to the expression:

GearSetting = {Rev,if Gear 11st,if -1 < Gear +12nd,if +1 < Gear +2...,...nthif (n1)<Gear n.

The figure shows the correspondence between the transmission gear and the Gear input signal.

Initial States

The transmission templates are configured to begin simulation in first gear. To change the default initial gear, you must set the clutch and brake initial states to the values shown in the transmission clutch schedules. You change the initial states in the Initial Conditions tab of the block dialog boxes.

Consider the Lepelletier 6-Speed Transmission template. The transmission clutch schedule shows the clutch and brake initial states for reverse gear to be [1 0 0 1 0] in the order A-E. To begin simulation in reverse gear, you must then set the initial states in the block dialog boxes as follows:

  • Clutch A locked

  • Clutch B unlocked

  • Clutche C unlocked

  • Clutch D locked

  • Clutch E unlocked

The Gear input signal must agree with the clutch and brake initial states. If the initial states correspond to reverse gear, then the first value in the Gear input signal must also correspond to reverse gear (Gear≤-1). Matching the two in this way helps to avoid inconsistent states known to cause simulation errors.

Clutch Control

The clutch schedule converts the Gear input signal into clutch and brake input signals. These signals drive the clutches and brakes, causing some to lock and others to unlock in an orchestrated fashion. The resulting configuration determines which gears power flows through—and therefore which gear the transmission is in.

A Gain block scales the input signals to the proper magnitudes for actuating the clutches and brakes. These magnitudes depend on the actuation inputs expected by the Clutch and Brake blocks. The actuation inputs can be:

Transfer Function blocks smooth the otherwise discrete input signals using first-order filters. The smoothing allows the clutch state transitions to occur gradually over short periods of time rather than instantaneously. The transfer function time constants determine the characteristic time periods over which the clutch transitions occur.

Inertias and Friction Losses

Simscape Inertia blocks represent the inertias of transmission gears. These blocks enhance the accuracy of the model. They also prevent simulation errors due to zero-inertia gear sets disconnected from input and output shafts due to clutch unlocking.

By default, all frictional losses are set to zero. Frictional losses include losses due to meshing in gears and viscous damping in gears, clutches, and brakes. To account for frictional losses in your model, you must specify gear efficiencies and friction coefficients in the block dialog boxes.

Real-Time Simulation

Transmission components such as gears and clutches can slow down simulation by introducing zero-crossing events and complex state-change calculations to your model. To minimize their impact on simulation speed, several blocks provide optional parameterizations suited for real-time simulation. These parameteriztions include:

  • Friction clutch approximation in dog clutches — Reduces model stiffness due to backlash-induced vibrations.

  • No meshing losses in gears — Eliminates gear friction calculations and associated zero crossings due to motion reversals.

These block parameterizations are labeled Suitable for HIL. Use them if you intend to run any type of real-time simulation, including hardware-in-loop (HIL) and software-in-loop (SIL) simulation. By default, all gear and clutch blocks in the transmission templates are set to use these parameterizations.

See Also

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