User`s manual

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N
m
P
V
Stepping motor Reduction gear ratio
Table
Gear B
Gear A
Feed screw pitch
[2] Simple design of a positioning system (method of converting position and speed to pulse)
(1) Linear operation
The following describes linear operation by positioning such as below a stepping motor.
: Angle of rotation per pulse (angle/pulse -> deg/p)
: Rotary pulse coefficient, number of pulses per rotation (number of pulses/single motor rotation → p/rotation)
m : Reduction gear ratio → number of teeth of gear A/number of teeth of gear B)
: Pulse rate coefficient (travel distance per pulse)
P : Feed screw pitch (travel distance/rpm → mm/rotation)
v : Table travel speed (travel distance/sec → mm/s)
V
P
: Set pulse speed (speed to set to this module, number of pulses/sec → p/s)
L : Set travel distance (mm)
P
L
: Number of set travel pulses
Formula for calculating the pulse rate
First, the rotation pulse coefficient . (number of pulses per single rotation)
=360° / (p/rotation) is calculated:
Thus, the pulse rate coefficient becomes:
=P/( ×m)=(P× ) / (360×m) (mm/P)
Next, the pulse speed VP (speed to set to this module) when the table travel speed v is generated
from this coefficient:
V
P
=v/ =v×(360×m)/(P×v) (p/s)
The number of pulses (P
L
) for arriving at the set travel distance is calculated as follows:
P
L
=L/ =L×(360×m)/(P× ) (p)