
Can I map a torque input to a braking pressure?
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I am studying the eATV model proposed by MathWorks (https://it.mathworks.com/matlabcentral/fileexchange/81623-electric-vehicle-powered-by-bldc-motor), but I am stuck trying to understand the relationship they have imposed:
Does power not require angular velocity in rad/s?
Where do the gains -0.01 and 1 in the transformation come from?
I am trying to mathematically characterize the relationship but I am unable to do so.
Furthermore, in PS-Simulink towards the brake pedal, they use N/m^2 and not bar as expected by the input block (https://it.mathworks.com/help/sdl/ref/discbrake.html#:~:text=Physical%20signal%20port%20associated%20with%20cylinder%20pressure%2C%20in%20bars.).


Thank you all so much.
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Sam Chak
2025-11-14,8:44
Hi @Leonardo
I cannot provide the physical explanation of how the student author derived the model. Mathematically, the 1st-order transfer function’s output requires approximately
time units to rise from 0 and converge to A, where A is the response amplitude (steady state).

v = 30; % wheel speed in RPM
Tr = -10; % brake torque requirement
A = v*Tr*(-0.01)*1; % Amplitude (steady state value of brake pressure)
s = tf('s');
tau = 0.1;
G = A/(tau*s + 1)
step(G, 1), grid on
xline(0.5, '--')
Despite the physical signal port of the Disk Brake measuring brake pressure in bars, the Simscape unit manager can automatically verify units within a physical network and perform the necessary conversions, provided the user correctly specifies the incoming signal unit (N/m^2, i.e., pascal, Pa).
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