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Deriving motor constants – Rockwell Automation 1325L DC Motors User Manual User Manual

Page 11

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DC Motors

11

Table E Radial Load Capacity

1

1

Data for motors with roller bearings at the drive end (back end). Motors with ball bearings at the drive end are
for coupled duty only.

Deriving Motor Constants

Various motor constants are required to set control functions for stabilized
operation of motor and controls. The following information will make it
possible to derive approximate motor constants from the nameplate data.

Required Nameplate Data
• Frame

• HP

• RPM

• Volts (Va)

• Amps (Ia)

From

Table F

, the following factors are available, based on frame size.

• Ra´

• La´

• WK

2

• τe´

This will provide approximate results with a

±25% margin of error.

The following data can be derived:

La = La´ x (Va/rpm)

2

Arm. Circ. Ind. (millihenries)

Ra = Ra´ x (Va/rpm)

2

Arm. Circ. Resistance

τe

=

τe´

τe´ = La/Ra x 10

3

Elec.Time Constant

J (SEC) = WK

2

x (rpm)

2

/1.62 x (10)

6

x hp where WK

2

is in terms of lb-ft

2

J (SEC) = WK

2

x (rpm)

2

/0.0922 x (10)

6

x kw where WK

2

is in terms of kg-m

2

R = Ia x Ra/(Va – IaRa)

Table F Resistance & Inductance Factors

Frame

Capacity at End of Shaft in kg (lbs.)
2500 RPM

1750 RPM

1150 RPM

850 RPM

DC210ATZ &
DC180ATZ

140.6 (310)

156.5 (345)

179.2 (395)

200.0 (440)

C180ATZ

226.8 (500)

256.3 (565)

283.5 (625)

283.5 (625)

Frame

WK

2

Ra

La

τe

lb.-ft.

2

kg.-m.

2

C1811ATZ

0.683

0.029

56.6

616

0.011

C1812ATZ

0.787

0.033

40.5

500

0.012