5) electronic gear ratio setting examples, 6) electronic gear ratio equation – Yaskawa Sigma II Series DC Power Input SGMAJ User Manual

Page 224

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8.6 Operating Using Position Control

8-51

8

(5) Electronic Gear Ratio Setting Examples

The following examples show electronic gear ratio settings for different load configurations.

Reduce the fraction (both numerator and denominator) since the calculated result will not be within the setting
range. For example, reduce the numerator and denominator by four to obtain Pn202=32768, Pn203=3925 and
complete the settings.

(6) Electronic Gear Ratio Equation

Step

Operation

Load Configuration

Ball Screw

Disc Table

Belt and Pulley

1

Check machine
specifications.

x Ball screw pitch: 6 mm
x Deceleration ratio: 1/1

Rotation angle per revolution:
360

°

Deceleration ratio: 3/1

Pulley diameter: 100 mm
(pulley circumference: 314 mm)
x Deceleration ratio: 2/1

2

Check the number
of encoder pulses.

13-bit: 2048 P/R

13-bit: 2048 P/R

16-bit: 16384 P/R

3

Determine the ref-
erence unit used.

1 Reference unit: 0.001 mm
(1

µm)

1 Reference unit: 0.01

°

1 Reference unit: 0.02 mm (20

µm)

4

Calculate the travel
distance per load
shaft revolution.

6 mm/0.001 mm=6000

360

°

/0.1

°

=3600

314 mm/0.02 mm=15700

5

Calculate the elec-
tronic gear ratio.

6

Set parameters.

Pn202

8192

Pn202

24576

Pn202

131072

Pn203

6000

Pn203

3600

Pn203

15700

Ball screw
pitch: 6 mm

13-bit encoder

Load shaft

Reference unit: 0.001 mm

13-bit encoder

Load shaft

Reference unit: 0.1

°

Deceleration
ratio:

3 : 1

Load shaft

Deceleration
ratio

2 : 1

Reference Unit: 0.02 mm

Pully diameter:

100 mm

16-bit encoder

A

6000

B

2048

× 4

1

1

=

×

A

3600

B

2048

× 4

1

3

=

×

A

15700

B

16384

× 4

1

2

=

×

A

B

n

m

+

-

×4

Pitch = P (mm/rev)

m

n

Servomotor

P

G

(P/rev)

P

G

(P/R): Encoder pulses

Position
loop

Speed
loop

Reference pulse

∆ (mm/P)

n

× P

n

× P

B

A

G

∆ (mm/P): Reference unit

P

×

×

×

(

)

m

n

= 4

× P × m

B

A

(

) =

=

G

G

4

× P × m ×

4

× P

Set A and B with the following parameters.

A

Pn203

B

Pn202

P (mm/rev): Ball screw pitch

: Deceleration ratio

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