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Jm (inertia), Ke (back emf) – Rockwell Automation 1398-DDM-xxx ULTRA 100 Series Drives Installation Manual User Manual

Page 261

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Publication 1398-5.2 – PDF 1997

Creating Custom Motor Files

D-7

The denominator units of the required torque constant are peak Amps,
rather than rms Amps. To convert the torque constant from units of N-
m/Amp(rms), use the formula:

Many Allen-Bradley motors specify the torque constant in units of N-
m/rmsA/phase. In this case, in addition to conversion from rms Amps
to peak Amps, the value needs to be multiplied by three because it has
been defined as “per phase”.

If a motor operates with trap drives, the torque constant is specified as
a “square wave” torque constant. However, ULTRA 100 Series drives
are sinusoidal drives and the torque constant must be specified as a
“sine wave” torque constant or “sinusoidal” torque constant. To
convert between sinusoidal torque constants and square wave torque
constants, usually a factor of 5-10% is required. The motor
manufacturer should be able to specify the sinusoidal torque constant,
even if it is not shown in the data sheet.

J

M

(Inertia)

The rotor inertia specifies the inertia of the motor, not including the

load, and is required in units of Kg-cm

2

. The inertia can be in the

range of 0.0156 to 1023.9844 Kg-cm

2

.

The conversion formulas between Kg-cm

2

, Kg-m

2

, in-lb-s

2

, and

oz-in-s

2

are:

K

E

(Back EMF)

The back-EMF is the peak value of the line-to-line sinusoidal EMF
generated at 1000 RPM, and is required in units of Volts/KRPM or
Volts/1000 RPM. The back-EMF value can be in the range of 0.0039
to 255.9961 Volts/KRPM.

Note that the required value is a peak value, rather than an rms value.
To convert the back-EMF from units of Volts(rms)/kRPM, use the
formula:

Intro

1

Newton meter

Amp

0.707

Newton meter

Amp(rms)

=

Intro

1 Kg cm

0.0001 Kg m

1

1129.85

in lb s

1

70.6155

oz in s

2

2

2

2

=

=

⋅ ⋅ ⋅

=

⋅ ⋅

Intro

1

Volts

1000 RPM

Volts(rms)

1000 RPM

=

1 414

.