Dyad

Appearance

LIBRARY
Sensors.PowerSensor.md

Sensors.PowerSensor ​

Measures the instantaneous rotational power transmitted between two mechanical rotational splines.

This component acts as an ideal sensor to determine the power flowing through a rotational mechanical connection. Relative angular displacement between its two connectors is zero.

The output signal, power, represents the instantaneous power. It is calculated as the product of the torque at spline_a and the angular velocity of spline_a. The angular velocity is the time derivative of the angle of spline_a ( ) which corresponds to der(spline*a.phi) in the model's equations. The power is thus defined by the equation:

where P is the output power,   is the torque at spline*a, and is the angular velocity ofspline_a.

This component extends from RotationalComponents.Interfaces.PartialRelativeSensor

Usage ​

RotationalComponents.Sensors.PowerSensor()

Connectors ​

  • spline_a - This connector represents a rotational spline with angle and torque as the potential and flow variables, respectively. (Spline)

  • spline_b - This connector represents a rotational spline with angle and torque as the potential and flow variables, respectively. (Spline)

  • power - This connector represents a real signal as an output from a component (RealOutput)

Behavior ​

Source ​

dyad
"""
Measures the instantaneous rotational power transmitted between two mechanical rotational splines.

This component acts as an ideal sensor to determine the power flowing through a
rotational mechanical connection. Relative angular displacement between its two
connectors is zero.
```math
\\phi_a = \\phi_b
```
The output signal, `power`, represents the instantaneous power. It is calculated
as the product of the torque at `spline_a` and the angular velocity of `spline_a`.
The angular velocity is the time derivative of the angle of `spline_a`
(\$\\dot{\\phi}_a\$) which corresponds to `der(spline_a.phi)` in the
model's equations. The power is thus defined by the equation:
```math
P = \\tau_a \\cdot \\dot{\\phi_a}
```
where `P` is the output power, \$\tau_a\$ is the torque at `spline_a`, and \$\\dot{\\phi}_a\$ is the angular velocity of `spline_a`.
"""
component PowerSensor
  extends RotationalComponents.Interfaces.PartialRelativeSensor
  "Power in spline `spline_a` as output signal"
  power = RealOutput() {
    "Dyad": {
      "placement": {"icon": {"x1": 100, "y1": 950, "x2": 200, "y2": 1050, "rot": 90}}
    }
  }
relations
  spline_a.phi = spline_b.phi
  power = spline_a.tau * der(spline_a.phi)
metadata {
  "Dyad": {"icons": {"default": "dyad://RotationalComponents/Sensor-Power-Torque.svg"}}
}
end
Flattened Source
dyad
"""
Measures the instantaneous rotational power transmitted between two mechanical rotational splines.

This component acts as an ideal sensor to determine the power flowing through a
rotational mechanical connection. Relative angular displacement between its two
connectors is zero.
```math
\\phi_a = \\phi_b
```
The output signal, `power`, represents the instantaneous power. It is calculated
as the product of the torque at `spline_a` and the angular velocity of `spline_a`.
The angular velocity is the time derivative of the angle of `spline_a`
(\$\\dot{\\phi}_a\$) which corresponds to `der(spline_a.phi)` in the
model's equations. The power is thus defined by the equation:
```math
P = \\tau_a \\cdot \\dot{\\phi_a}
```
where `P` is the output power, \$\tau_a\$ is the torque at `spline_a`, and \$\\dot{\\phi}_a\$ is the angular velocity of `spline_a`.
"""
component PowerSensor
  "Left spline connector for the sensor."
  spline_a = Spline() {"Dyad": {"placement": {"icon": {"x1": -50, "y1": 450, "x2": 50, "y2": 550}}}}
  "Right spline connector for the sensor."
  spline_b = Spline() {"Dyad": {"placement": {"icon": {"x1": 950, "y1": 450, "x2": 1050, "y2": 550}}}}
  "Power in spline `spline_a` as output signal"
  power = RealOutput() {
    "Dyad": {
      "placement": {"icon": {"x1": 100, "y1": 950, "x2": 200, "y2": 1050, "rot": 90}}
    }
  }
relations
  0 = spline_a.tau + spline_b.tau
  spline_a.phi = spline_b.phi
  power = spline_a.tau * der(spline_a.phi)
metadata {
  "Dyad": {"icons": {"default": "dyad://RotationalComponents/Sensor-Power-Torque.svg"}}
}
end


Test Cases ​

No test cases defined.

  • Examples

  • Experiments

  • Analyses