Description on dividing/multiplier ratio – Panasonic MINAS E-series User Manual

Page 178

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178

Pulse row position

command

Distance: P1 [P]
Traveling speed: F [PPS]

Command dividing multiplier ratio

Servo driver

D =

Pr46 x 2

Pr4B

Pr4A

Servo

motor

Encoder

Gear

Machine

Rotation speed: N [r/min]

Reduction ratio: R

Number of encoder pulses E [P/r]

10000 = (phase A/B 2500 [P/r] x 4)

Example of driving ball screw using the servo motor

Description on Dividing/Multiplier Ratio

Relation between Positional Resolution/Moving Speed and Command Dividing Multiplier Ratio

As an example of a machine, we describe a ball screw driving system below:

When lead of a ball screw is L [mm], actual distance of a ball screw M [mm] with respect to the distance command

PI [P] is expressed with formula (1) below:

M = P1 x (D/E) x (1/R) x L ................................. (1)

Therefore, position resolution (distance DM per command pulse) is expressed by the following formula (2):

∆∆∆∆∆M = (D/E) x (1/R) x L ....................................... (2)

Through transformation of formula (2), a command dividing multiplier ratio D is determined by the formula (3):

D = (

∆∆∆∆∆M x E x R)/L ............................................ (3)

In addition, actual traveling speed V [mm/s] of a ball screw with respect to traveling speed command F [PPS] is

expressed by formula (4), and the corresponding motor rotation speed N is determined by formula (5):

V = F x (D/E) x (1/R) x L ................................... (4)
N = F x (D/E) x 60 ............................................. (5)

Through transformation of formula (5), a command dividing multiplier ratio D is determined by the formula (6):

D = (N x E)/(F x 60) ........................................... (6)

<Remarks>

1. Set the positional resolution (

∆M) at approx. 1/5 to 1/10 of the positioning accuracy (∆

ε), in view of mechanical

errors.

2. Set a value from 1 to 10000 to Pr46 and Pr4B.

3. You can set any value depending on numerator and denominator settings. However, if you specify an extreme

dividing/multiplier ratio, we cannot guarantee proper operation of the motor. We recommend that you set the

dividing/multiplier ratio in the range of 1/50 to 20 times.

4.

2

n

2

0

2

1

2

2

2

3

2

4

2

5

2

6

2

7

2

8

2

9

2

10

2

11

2

12

2

13

2

14

2

15

2

16

2

17

Decimal

1

2

4

8

16

32

64

128

256

512

1024

2048

4096

8192

16384

32768

65536

131072

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