Continuously Variable Transmission

Push belt continuously variable transmission with independent radii control

Libraries:
Powertrain Blockset / Transmission / Transmission Systems

Description

The Continuously Variable Transmission block implements a push belt continuously variable transmission (CVT) with independent radii control. Use the block for control system design, powertrain matching, and fuel economy studies. You can configure the block for internal or external control:

Internal — Input direction and pulley ratio requests
External — Input direction and pulley displacement requests

The table summarizes the pulley kinematic, speed reduction, and dynamic calculations made by the Continuously Variable Transmission block.

Calculation	Pulley Kinematics	Reverse and Final Speed Reduction	Dynamics
Final angular speed ratio	✓	✓	✓
Belt torque applied to the secondary and primary pulleys			✓
Torque applied to the secondary and primary pulleys		✓
Angular velocity of secondary and primary pulleys	✓	✓	✓
Belt and pulley geometry	✓
Belt linear speed			✓
Wrap angle on secondary and primary pulley	✓
Primary and secondary pulley radii	✓

The figure shows the CVT variator with two configurations. In the first configuration, which illustrates speed reduction, the variator is set to decrease the primary pulley radius and increase the secondary pulley radius. In the second configuration, which illustrates overdrive, the variator is set to increase the primary pulley radius and decrease the secondary pulley radius.

Pulley Kinematics

Using the physical dimensions of the system, the block calculates the primary and secondary variator positions that meet the pulley ratio request.

The figure and equations summarize the geometric dependencies.

$\begin{array}{l} C_{d i s t} = r p_{m a x} + r_{g a p} + r_{s e c_m a x} \\ L_{0} = f (r p_{m a x}, r s_{m a x}, r p_{m i n}, r s_{m i n}, C_{d i s t}) \\ r a t i o_{c o m m a n d} = f (r a t i o_{r e q u e s t}, r a t i o_{m a x}, r a t i o_{m i n}) \\ r_{p r i} = f (r_{0}, r a t i o_{c o m m a n d}, C_{d i s t}) \\ r_{\sec} = f (r_{0}, r a t i o_{c o m m a n d}, C_{d i s t}) \\ x_{p r i} = f (r_{0}, r_{p r i}, θ_{w e d g e}) \\ x_{\sec} = f (r_{0}, r_{\sec}, θ_{w e d g e}) \end{array}$

The equations use these variables.

ratio_request	Pulley gear ratio request
ratio_command	Pulley gear ratio command, based on request and physical limitations
r_gap	Gap distance between variator pulleys
C_dist	Distance between variator pulley centers
rp_max	Maximum variator primary pulley radius
rs_max	Maximum variator secondary pulley radius
rp_min	Minimum variator primary pulley radius
rs_min	Minimum variator secondary pulley radius
r_o	Initial pulley radii with gear ratio of `1`
L_o	Initial belt length, resulting from variator specification
x_pri	Variator primary pulley displacement, resulting from controller request
x_sec	Variator secondary pulley displacement, resulting from controller request
r_pri	Variator primary pulley radius, resulting from controller request
r_sec	Variator secondary pulley radius, resulting from controller request
Θ_wedge	Variator wedge angle
Φ	Angle of belt to pulley contact point
L	Belt length, resulting from variator position

Reverse and Final Speed Reduction

The CVT input shaft connects to a planetary gear set that drives the primary pulley. The shift direction determines the input gear inertia, efficiency, and gear ratio. The shift direction is the filtered commanded direction:

$\frac{D i r_{s h i f t}}{D i r} (s) = \frac{1}{τ_{s} s + 1}$

For forward motion ( $D i r_{s h i f t} = 1$ ):

$\begin{array}{l} N_{i} = 1 \\ η_{i} = η_{f w d} \\ J_{i} = J_{f w d} \end{array}$

For reverse motion ( $D i r_{s h i f t} = - 1$ ):

$\begin{array}{l} N_{i} = - N_{r e v} \\ η_{i} = η_{r e v} \\ J_{i} = J_{r e v} \end{array}$

The gear ratio and efficiency determine the input drive shaft speed and torque applied to the primary pulley:

$T_{a p p_p r i} = η_{i} N_{i} T_{i}$

The block reduces the secondary pulley speed and applied torque using a fixed gear ratio.

$\begin{array}{l} T_{a p p_s e c} = \frac{T_{o}}{η_{o} N_{o}} \\ ω_{o} = \frac{ω_{s e c}}{N_{o}} \end{array}$

The final gear ratio, without slip, is given by:

$N_{f i n a l} = \frac{ω_{i}}{ω_{o}} = N_{i} N_{o} \frac{r_{s e c}}{r_{p r i}}$

The equations use these variables.

N_i	Input planetary gear ratio
Dir	CVT direction command
Dir_shift	Direction used to determine planetary inertia, efficiency, and ratio
τ_s	Direction shift time constant
η_fwd, η_rev	Forward and reverse gear efficiency, respectively
J_fwd, J_rev	Forward and reverse gear inertia, respectively
N_rev	Reverse gear ratio
T_{app_pri}, T_{app_sec}	Torque applied to primary and secondary pulleys, respectively
T_i	Input drive shaft torque
ω_i, ω_o	Input and output drive shaft speed, respectively
ω_pri, ω_sec	Primary and secondary pulley speed, respectively
N_final	Total no-slip gear ratio

Dynamics

The maximum torque that the CVT can transmit depends on the friction between the pulleys and belt. According to Prediction of Friction Drive Limit of Metal V-Belt, the torque friction is defined as:

$T_{f r i c} (r_{p}, μ) = \frac{2 μ F_{a x} r_{p}}{\cos (ϑ_{w e d g e})}$

Without macro slip, the tangential acceleration of the pulley is assumed to be equal to the belt acceleration. Once the torque reaches the static friction limit, the belt begins to slip, and the pulley and belt acceleration are independent. During slip, the torque transmitted by the belt is a function of the kinetic friction factor. During the transition from slip to non-slip conditions, the belt and tangential pulley velocities are equal.

The block implements these equations for four different slip conditions.

Condition	Equations
Belt slips on both secondary and primary pulleys	$\begin{array}{l} (J_{p r i} + J_{i}) {\dot{ω}}_{p r i} = T_{a p p_p r i} - T_{B o P_p r i} - b_{p r i} ω_{p r i} \\ J_{s e c} {\dot{ω}}_{s e c} = T_{a p p_s e c} - T_{B o P_s e c} - b_{s e c} ω_{s e c} \\ m_{b} {\dot{v}}_{b} = \frac{T_{B o P_p r i}}{r_{p r i}} + \frac{T_{B o P_s e c}}{r_{s e c}} - b_{b} v_{b} \\ r_{p r i} ω_{p r i} \neq v_{b} \\ r_{s e c} ω_{s e c} \neq v_{b} \end{array}$
Belt slips on only the primary pulley	$\begin{array}{l} (J_{p r i} + J_{i}) {\dot{ω}}_{p r i} = T_{a p p_p r i} - T_{B o P_p r i} - b_{p r i} ω_{p r i} \\ (m_{b} + \frac{J_{s e c}}{r^{2}_{s e c}}) {\dot{v}}_{b} = \frac{T_{B o P_p r i}}{r_{p r i}} + \frac{T_{B o P_s e c}}{r_{s e c}} - (b_{b} + \frac{b_{s e c}}{r^{2}_{s e c}}) v_{b} \\ ω_{s e c} = \frac{v_{b}}{r_{s e c}} \\ r_{p r i} ω_{p r i} \neq v_{b} \\ T_{B o P_p r i} = sgn (r_{p r i} ω_{p r i} - v_{b}) T_{f r i c} (r_{p r i}, μ_{k i n}) \\ \| T_{B o P_s e c} \| < T_{f r i c} (r_{s e c}, μ_{s t a t i c}) \end{array}$
Belt slips on only the secondary pulley	$\begin{array}{l} (m_{b} + \frac{J_{p r i} + J_{i}}{r^{2}_{p r i}}) {\dot{v}}_{b} = \frac{T_{a p p_p r i}}{r_{p r i}} + \frac{T_{B o P_s e c}}{r_{s e c}} - (b_{b} + \frac{b_{p r i}}{r^{2}_{p r i}}) v_{b} \\ J_{s e c} {\dot{ω}}_{b} = T_{a p p_s e c} + T_{B o P_s e c} - b_{s e c} ω_{s e c} \\ ω_{p r i} = \frac{v_{b}}{r_{p r i}} \\ r_{s e c} ω_{s e c} \neq v_{b} \\ T_{B o P_s e c} = sgn (r_{s e c} ω_{s e c} - v_{b}) T_{f r i c} (r_{s e c}, μ_{k i n}) \\ \| T_{B o P_p r i} \| < T_{f r i c} (r_{p r i}, μ_{s t a t i c}) \end{array}$
Belt does not slip	$\begin{array}{l} (m_{b} + \frac{J_{s e c}}{r^{2}_{s e c}} + \frac{J_{p r i} + J_{i}}{r^{2}_{p r i}}) {\dot{v}}_{b} = \frac{T_{a p p_p r i}}{r_{p r i}} + \frac{T_{a p p_s e c}}{r_{s e c}} - (b_{b} + \frac{b_{s e c}}{r^{2}_{s e c}} + \frac{b_{p r i}}{r^{2}_{p r i}}) v_{b} \\ ω_{p r i} = \frac{v_{b}}{r_{p r i}} \\ ω_{s e c} = \frac{v_{b}}{r_{s e c}} \\ \| T_{B o P_p r i} \| < T_{f r i c} (r_{p r i}, μ_{s t a t i c}) \\ \| T_{B o P_s e c} \| < T_{f r i c} (r_{s e c}, μ_{s t a t i c}) \end{array}$
Slip direction	$\begin{array}{l} P r i S l i p D i r = {\begin{matrix} 0 & r_{p r i} ω_{p r i} = v_{b} \\ 1 & r_{p r i} ω_{p r i} > v_{b} \\ - 1 & r_{p r i} ω_{p r i} < v_{b} \end{matrix} \\ S e c S l i p D i r = {\begin{matrix} 0 & r_{s e c} ω_{s e c} = v_{b} \\ 1 & r_{s e c} ω_{s e c} > v_{b} \\ - 1 & r_{s e c} ω_{s e c} < v_{b} \end{matrix} \end{array}$

The equations use these variables.

T_{BoP_pri}, T_{BoP_sec}	Belt torque acting on the primary and secondary pulleys, respectively
T_{app_pri}, T_{app_sec}	Torque applied to primary and secondary pulleys, respectively
J_pri, J_sec	Primary and secondary pulley rotational inertias, respectively
b_pri, b_sec	Primary and secondary pulley rotational viscous damping, respectively
F_ax	Pulley clamp force
μ	Coefficient of friction
μ_kin, μ_static	Coefficient of kinetic and static friction
v_b, а_b	Linear speed and acceleration of the belt, respectively
m_b	Total belt mass
r_pri, r_sec	Radii of the primary and secondary pulleys, respectively
Φ_wrap	Wrap angle of belt to pulley contact point
Φ_{wrap_pri}, Φ_{wrap_sec}	Primary and secondary pulley wrap angles, respectively

Power Accounting

For the power accounting, the block implements these equations.

Bus Signal			Description	Variable	Equations
`PwrInfo`	`PwrTrnsfrd` — Power transferred between blocks Positive signals indicate flow into block Negative signals indicate flow out of block	`PwrEng`	Engine power	P_eng	$ω_{i} T_{i}$
		`PwrDiffrntl`	Differential power	P_diff	$ω_{o} T_{o}$
	`PwrNotTrnsfrd` — Power crossing the block boundary, but not transferred Positive signals indicate an input Negative signals indicate a loss	`PwrBltLoss`	Belt slip power loss	P_bltloss	$\begin{array}{l} (J_{i n} + J_{p r i}) {\dot{ω}}_{p r i} ω_{p r i} + \\ J_{s e c} {\dot{ω}}_{s e c} ω_{s e c} + \\ m_{b} {\dot{v}}_{b} v_{b} + b_{p r i} ω_{p r i}^{2} + b_{s e c} ω_{s e c}^{2} + b_{b} v_{b}^{2} - \\ T_{a p p_{p r i}} ω_{p r i} - T_{a p p_{s e c}} ω_{s e c} \end{array}$
		`PwrGearInLoss`	Input planetary gear mechanical power loss	P_grinloss	$- \| ω_{i} T_{i} - Τ_{a p p_p r i} ω_{p r i} \|$
		`PwrGearOutLoss`	Output gear reduction mechanical power loss	P_groutloss	$- \| ω_{o} T_{o} - Τ_{a p p_s e c} ω_{s e c} \|$
		`PwrDampLoss`	Mechanical damping loss	P_damploss	$- b_{p r i} ω_{p r i}^{2} - b_{s e c} ω_{s e c}^{2} - b_{b} v_{b}^{2}$
	`PwrStored` — Stored energy rate of change Positive signals indicate an increase Negative signals indicate a decrease	`PwrStoredTrans`	Rate change in rotational kinetic energy	P_str	$(J_{i n} + J_{p r i}) {\dot{ω}}_{p r i} ω_{p r i} + J_{s e c} {\dot{ω}}_{s e c} ω_{s e c} + m_{b} {\dot{v}}_{b} v_{b}$

The equations use these variables.

T_{app_pri}, T_{app_sec}	Torque applied to primary and secondary pulleys, respectively
T_i, T_o	Input and output drive shaft torque, respectively
J_pri, J_sec	Primary and secondary pulley rotational inertias, respectively
b_pri, b_sec	Primary and secondary pulley rotational viscous damping, respectively
ω_pri, ω_sec	Primary and secondary pulley speed, respectively
ω_i, ω_o	Input and output drive shaft speed, respectively
v_b, а_b	Linear speed and acceleration of the belt, respectively
r_pri, r_sec	Radii of the primary and secondary pulleys, respectively

Examples

Build Conventional Vehicle Model

Build a vehicle with an internal combustion engine using the conventional vehicle reference application.

Ports

Inputs

expand all

Dir — Direction request
`scalar`

Direction request, Dir_req, controlling the direction. The block filters the request to determine the direction, forward or reverse. Dir equals 1 for forward motion. Dir equals -1 for reverse.

$D i r = {\begin{matrix} 1 when D i r_{r e q} \geq 0 \\ - 1 when D i r_{r e q} < 0 \end{matrix}$

PllyRatioReq — Pulley ratio request
`scalar`

CVT pulley ratio request, ratio_request.

Dependencies

To create this port, for the Control mode parameter, select Ideal integrated controller.

PriDisp — Primary pulley displacement
`scalar`

Variator primary pulley displacement, x_pri, in m.

Dependencies

To create this port, for the Control mode parameter, select External control.

SecDisp — Secondary pulley displacement
`scalar`

Variator secondary pulley displacement, x_sec, in m.

Dependencies

To create this port, for the Control mode parameter, select External control.

EngTrq — Input drive shaft torque
`scalar`

External torque applied to the input drive shaft, T_i, in N·m.

DiffTrq — Output drive shaft torque
`scalar`

External torque applied to the output drive shaft, T_o, in N·m.

Output

expand all

Info — Bus signal
bus

Bus signal containing these block calculations.

Signal			Description	Variable	Units
`EngTrq`			Input shaft torque	T_i	N·m
`DiffTrq`			Output shaft torque	T_o	N·m
`EngSpd`			Input shaft speed	ω_i	rad/s
`DiffSpd`			Output shaft speed	ω_o	rad/s
`PriRadius`			Primary pulley radius	r_pri	m
`PriPhi`			Primary pulley wrap angle	Φ_pri	rad
`SecRadius`			Secondary pulley radius	r_sec	m
`SecPhi`			Secondary pulley wrap angle	Φ_sec	rad
`BltLngthDelta`			Change in belt length	ΔL	m
`BltLngth`			Belt length	L	m
`BltLngthInit`			Initial belt length	L_o	m
`BltOnPriTrq`			Belt torque acting on the primary pulley	T_{BoP_pri}	N·m
`BltOnSecTrq`			Belt torque acting on the secondary pulley	T_{BoP_sec}	N·m
`BltVel`			Linear speed of the belt	v_b	m/s
`PriAngVel`			Primary pulley speed	ω_pri	rad/s
`SecAngVel`			Secondary pulley speed	ω_sec	rad/s
`PriSlipDir`			Primary pulley slip direction indicator	PriSlipDir	N/A
`SecSlipDir`			Secondary pulley slip direction indicator	SecSlipDir	N/A
`TransSpdRatio`			Total no-slip gear ratio	N_final	N/A
`PwrInfo`	`PwrTrnsfrd`	`PwrEng`	Engine power	P_eng	W
	`PwrTrnsfrd`	`PwrDiffrntl`	Differential power	P_diff	W
	`PwrNotTrnsfrd`	`PwrBltLoss`	Belt slip power loss	P_bltloss	W
		`PwrGearInLoss`	Input planetary gear mechanical power loss	P_grinloss	W
		`PwrGearOutLoss`	Output gear reduction mechanical power loss	P_groutloss	W
		`PwrDampLoss`	Mechanical damping loss	P_damploss	W
	`PwrStored`	`PwrStoredTrans`	Rate change in rotational kinetic energy	P_str	W

EngSpd — Input drive shaft speed
`scalar`

Input drive shaft angular speed, ω_i, in rad/sec.

DiffSpd — Output drive shaft speed
`scalar`

Output drive shaft angular speed, ω_o, in rad/sec.

Parameters

expand all

Control mode — External or internal
`Ideal integrated controller` (default) | `External control`

Specify the control method, either internal or external.

Dependencies

This table summarizes the port and input model configurations.

Control Mode Creates Ports

Control Mode	Creates Ports
`Ideal integrated controller`	`PllyRatioReq`
`External control`	`PriDisp` `SecDisp`

Ideal integrated
                                                  controller

PllyRatioReq

External
                                                control

PriDisp

SecDisp

Kinematics

Maximum variator primary pulley radius, rp_max — Radius
`.08` (default) | `scalar`

Maximum variator primary pulley radius, rp_max, in m.

Maximum variator secondary pulley radius, rs_max — Radius
`.07` (default) | `scalar`

Maximum variator secondary pulley radius, rs_max, in m.

Minimum variator primary pulley radius, rp_min — Radius
`.03` (default) | `scalar`

Minimum variator primary pulley radius, rp_min, in m.

Minimum variator secondary pulley radius, rs_min — Radius
`.03` (default) | `scalar`

Minimum variator secondary pulley radius, rs_min, in m.

Gap distance between variator pulleys, rgap — Specify crown wheel connection
`.025` (default) | `scalar`

The gap between the secondary and primary pulleys, r_gap, in m. The figure shows the pulley geometry.

Variator wedge angle, thetawedge — Specify crown wheel connection
`11` (default) | `scalar`

Variator wedge angle, Θ_wedge, in deg.

Dynamics

Primary pulley inertia, J_pri — Inertia
`0.1` (default) | `scalar`

Primary pulley inertia, J_pri, in kg·m^2.

Secondary pulley inertia, J_sec — Inertia
`0.1` (default) | `scalar`

Secondary pulley inertia, J_sec, in kg·m^2.

Primary pulley damping coefficient, b_pri — Damping
`0.001` (default) | `scalar`

Primary pulley damping coefficient, b_pri, in N·m·s/rad.

Secondary pulley damping coefficient, b_sec — Damping
`0.001` (default) | `scalar`

Secondary pulley damping coefficient, b_sec, in N·m·s/rad.

Belt damping coefficient, b_b — Damping
`0.0025` (default) | `scalar`

Belt damping coefficient, b_b, in kg/s.

Static friction coefficient, mu_static — Friction
`0.3` (default) | `scalar`

Static friction coefficient between the belt and primary pulley, μ_static, dimensionless.

Kinetic friction coefficient, mu_kin — Friction
`0.2` (default) | `scalar`

Kinetic friction coefficient between the belt and primary pulley, μ_kin, dimensionless.

Belt mass, m_b — Mass
`3` (default) | `scalar`

Belt mass, m_b, in kg.

Pulley clamp force, F_ax — Pulley clamp force
`5000` (default) | `scalar`

Pulley clamp force, F_ax, in N.

Reverse and Output Ratio

Forward inertia, J_fwd — Inertia
`0.1` (default) | `scalar`

Forward inertia, J_fwd, in kg·m^2.

Reverse inertia, J_rev — Inertia
`0.1` (default) | `scalar`

Reverse inertia, J_rev, in kg·m^2.

Forward efficiency, eta_fwd — Efficiency
`0.95` (default) | `scalar`

Forward efficiency, η_fwd, dimensionless.

Reverse efficiency, eta_rev — Efficiency
`0.95` (default) | `scalar`

Reverse efficiency, η_rev, dimensionless.

Reverse gear ratio, N_rev — Ratio
`2` (default) | `scalar`

Reverse gear ratio, N_rev, dimensionless.

Shift time constant, tau_s — Constant
`.01` (default) | `scalar`

Shift time constant, τ_s, in s.

Output gear ratio, N_o — Ratio
`2` (default) | `scalar`

Output gear ratio, N_o, dimensionless.

Output gear efficiency, eta_o — Efficiency
`0.98` (default) | `scalar`

Output gear efficiency, η_o, dimensionless.

References

[1] Ambekar, Ashok G. Mechanism and Machine Theory. New Delhi: Prentice-Hall of India, 2007.

[2] Bonsen, B. Efficiency optimization of the push-belt CVT by variator slip control. Ph.D. Thesis. Eindhoven University of Technology, 2006.

[3] CVT How Does It Work. CVT New Zealand 2010 Ltd, 10 Feb. 2011. Web. 25 Apr. 2016.

[4] Klaassen, T. W. G. L. The Empact CVT: Dynamics and Control of an Electromechanically Actuated CVT. Ph.D. Thesis. Eindhoven University of Technology, 2007.

[5] Sakagami, K. Prediction of Friction Drive Limit of Metal V-Belt. Warrendale, PA: SAE International Journal of Engines 8(3):1408-1416, 2015.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2017a

Continuously Variable Transmission

Description

Pulley Kinematics

Reverse and Final Speed Reduction

Dynamics

Power Accounting

Examples

Build Conventional Vehicle Model

Ports

Inputs

Dir — Direction request scalar

PllyRatioReq — Pulley ratio request scalar

Dependencies

PriDisp — Primary pulley displacement scalar

Dependencies

SecDisp — Secondary pulley displacement scalar

Dependencies

EngTrq — Input drive shaft torque scalar

DiffTrq — Output drive shaft torque scalar

Output

Info — Bus signal bus

EngSpd — Input drive shaft speed scalar

DiffSpd — Output drive shaft speed scalar

Parameters

Control mode — External or internal Ideal integrated controller (default) | External control

Dependencies

Maximum variator primary pulley radius, rp_max — Radius .08 (default) | scalar

Maximum variator secondary pulley radius, rs_max — Radius .07 (default) | scalar

Minimum variator primary pulley radius, rp_min — Radius .03 (default) | scalar

Minimum variator secondary pulley radius, rs_min — Radius .03 (default) | scalar

Gap distance between variator pulleys, rgap — Specify crown wheel connection .025 (default) | scalar

Variator wedge angle, thetawedge — Specify crown wheel connection 11 (default) | scalar

Primary pulley inertia, J_pri — Inertia 0.1 (default) | scalar

Secondary pulley inertia, J_sec — Inertia 0.1 (default) | scalar

Primary pulley damping coefficient, b_pri — Damping 0.001 (default) | scalar

Secondary pulley damping coefficient, b_sec — Damping 0.001 (default) | scalar

Belt damping coefficient, b_b — Damping 0.0025 (default) | scalar

Static friction coefficient, mu_static — Friction 0.3 (default) | scalar

Kinetic friction coefficient, mu_kin — Friction 0.2 (default) | scalar

Belt mass, m_b — Mass 3 (default) | scalar

Pulley clamp force, F_ax — Pulley clamp force 5000 (default) | scalar

Forward inertia, J_fwd — Inertia 0.1 (default) | scalar

Reverse inertia, J_rev — Inertia 0.1 (default) | scalar

Forward efficiency, eta_fwd — Efficiency 0.95 (default) | scalar

Reverse efficiency, eta_rev — Efficiency 0.95 (default) | scalar

Reverse gear ratio, N_rev — Ratio 2 (default) | scalar

Shift time constant, tau_s — Constant .01 (default) | scalar

Output gear ratio, N_o — Ratio 2 (default) | scalar

Output gear efficiency, eta_o — Efficiency 0.98 (default) | scalar

References

Extended Capabilities

C/C++ Code Generation Generate C and C++ code using Simulink® Coder™.

Version History

See Also

Dir — Direction request
`scalar`

PllyRatioReq — Pulley ratio request
`scalar`

PriDisp — Primary pulley displacement
`scalar`

SecDisp — Secondary pulley displacement
`scalar`

EngTrq — Input drive shaft torque
`scalar`

DiffTrq — Output drive shaft torque
`scalar`

Info — Bus signal
bus

EngSpd — Input drive shaft speed
`scalar`

DiffSpd — Output drive shaft speed
`scalar`

Control mode — External or internal
`Ideal integrated controller` (default) | `External control`

Maximum variator primary pulley radius, rp_max — Radius
`.08` (default) | `scalar`

Maximum variator secondary pulley radius, rs_max — Radius
`.07` (default) | `scalar`

Minimum variator primary pulley radius, rp_min — Radius
`.03` (default) | `scalar`

Minimum variator secondary pulley radius, rs_min — Radius
`.03` (default) | `scalar`

Gap distance between variator pulleys, rgap — Specify crown wheel connection
`.025` (default) | `scalar`

Variator wedge angle, thetawedge — Specify crown wheel connection
`11` (default) | `scalar`

Primary pulley inertia, J_pri — Inertia
`0.1` (default) | `scalar`

Secondary pulley inertia, J_sec — Inertia
`0.1` (default) | `scalar`

Primary pulley damping coefficient, b_pri — Damping
`0.001` (default) | `scalar`

Secondary pulley damping coefficient, b_sec — Damping
`0.001` (default) | `scalar`

Belt damping coefficient, b_b — Damping
`0.0025` (default) | `scalar`

Static friction coefficient, mu_static — Friction
`0.3` (default) | `scalar`

Kinetic friction coefficient, mu_kin — Friction
`0.2` (default) | `scalar`

Belt mass, m_b — Mass
`3` (default) | `scalar`

Pulley clamp force, F_ax — Pulley clamp force
`5000` (default) | `scalar`

Forward inertia, J_fwd — Inertia
`0.1` (default) | `scalar`

Reverse inertia, J_rev — Inertia
`0.1` (default) | `scalar`

Forward efficiency, eta_fwd — Efficiency
`0.95` (default) | `scalar`

Reverse efficiency, eta_rev — Efficiency
`0.95` (default) | `scalar`

Reverse gear ratio, N_rev — Ratio
`2` (default) | `scalar`

Shift time constant, tau_s — Constant
`.01` (default) | `scalar`

Output gear ratio, N_o — Ratio
`2` (default) | `scalar`

Output gear efficiency, eta_o — Efficiency
`0.98` (default) | `scalar`

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.