Hi All.

In our CMI X-Ray spectromter, we have motion control of a plate which moves horizontally by the application of stepper motor.

The question is what are the energy transfer equations for executing this task (movement of a plate)? If we consider F=W/d, so what we get is Required energy to move the plate for a unit distance. But unit here is Force so how can I link it with Torque charactristics of a stepper motor?

Same kind of energy transfer phenomena is when a battery of V volt is connected with Resistence of R ohms. So as a end result, current flows. That way we determine the energy requirements of the resistence to allow one ampere current to flow.

Considering the same kind of energy transfer criteria here, how can we link torque characteristics with required energy for the plate to move unit distance?

 

<p>The next energy equation will be realized.
<pre>
1/2 * M * V ^ 2 = 1/2 * J * w ^ 2

w = 2ƒÎ * N

where

M [kg] : mass of plate and work
V [m/sec] : motion speed of a table
J [kg.m^2] : equivalent moment of inertia
w [rad/sec] : equivalent angular velocity
N [rot/sec] : rotations per sec

^ J = M * V ^ 2 / (2ƒÎ * N) ^ 2
</pre>
<p>But the current value (or energy) which needs
a motor cannot be found unless the operation
pattern of a motor is decided.

<p>Block diagram of the system will be as follows.
<pre>
T 1 w 1 N
I --> Kt --> ----- --> --- --> L --> V
J * s 2ƒÎ
where

I [A] : the motor current
Kt [N.m/A] : the torque constant
T [N.m] : the motor torque
L [m/rot] : distance of a plate per rotation
s : Laplace transformation s
</pre>