Iconic Diagrams\Mechanical\Rotation\Sensors
Domains: Continuous. Size: 1-D. Kind: Iconic Diagrams (Rotation), Block Diagrams.
This model describes an acceleration sensor which derives an angular acceleration output out of a angular velocity difference (between high and low terminals) by differentiation. Differentiation is performed by a state variable filter:
The S-domain function of this filter is equal to:
where f is the cut-off frequency. For very high values of f, the output becomes the pure derivative of the input. High values of f, however, increase simulations times. A good trade-off is a starting value of 1e5.
The equations of this model are:
alpha = d( p_high.omega - p_low.omega)/dt;
p_low.T = p_high.T = indifferent;
Ports |
Description |
p_high, p_low |
Both terminals of the Mechanical port p. |
Causality |
|
fixed force out |
|
Output |
|
alpha |
Angular acceleration (measured as the difference between both terminals) [rad/s2] |
Parameters |
|
f alpha_initial |
Cut-off frequency of the differentiation [Hz]. Initial angular acceleration [m/s]. |