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2 - Fagor Automation

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Selection criteria<br />

5.<br />

SELECTING CRITERIA<br />

Asynchronous spindle motor and servo drive selection<br />

232<br />

DDS<br />

HARDWARE<br />

Ref.1209<br />

216<br />

P N<br />

P N<br />

Calculations:<br />

1. With speed between 0 and 1500 rpm.<br />

2<br />

------<br />

60<br />

2 J M N 2<br />

<br />

M<br />

2<br />

---------------------- kW ------<br />

1000t<br />

60<br />

2 0.13 1500 2<br />

<br />

= = -------------------------------- = 6.41 kW 1 1000 0.5<br />

2. With speed between 0 and 6000 rpm.<br />

2<br />

------<br />

60<br />

2 J M N 2 2<br />

<br />

M<br />

+ N<br />

B<br />

<br />

2 2 0.13 6000<br />

------------------------------------- kW ------<br />

2000t<br />

60<br />

2 1500 2<br />

+ <br />

= = ------------------------------------------------------ = 10.89 kW 2 2000 2.5<br />

Calculation of acceleration and braking time<br />

After selecting the mechanical characteristics and the power of the drive,<br />

the acceleration and braking time is calculated as follows:<br />

Constant torque<br />

area:<br />

(0 < N M < N B )<br />

Constant power<br />

area:<br />

(N B < N M < N max )<br />

Constant torque &<br />

power area:<br />

(N B < N M < N max )<br />

JM Inertia of the load in kg·m² as viewed from the motor shaft<br />

TM Rated torque at base speed in N·m<br />

Nmax Maximum motor speed in rpm.<br />

N B<br />

N M<br />

Motor base speed in rpm.<br />

Motor speed reached after a time period t in rev/min<br />

Calculation of power with intermittent load<br />

Forming the drive to the right dimensions has to be done with the greatest<br />

care when the application involves a periodical starting and stopping<br />

operation, frequently repeated as in the case of threading with a miller.<br />

0<br />

0<br />

torque<br />

speed<br />

F. H5/11<br />

Tr Ts Tf<br />

Tc<br />

Periodic start-stop operation<br />

t 1<br />

t 2<br />

2 JM<br />

NM = ------------------------------ s 60 TM 2 2<br />

NB<br />

2 JM<br />

NM– <br />

= ---------------------------------------------------- s 120 TMNB 2 2<br />

NB<br />

2 JMNM+ <br />

t 3 = t1+ t 2<br />

= -------------------------------------------------- s 120 TMNB T R<br />

=<br />

For a cycle like the one shown in the figure F. H5/11 which includes acceleration<br />

and stopping, the equivalent effective torque T R of equation must<br />

be within the S1 dimension given for the drive torque.<br />

2<br />

TP -Tp<br />

tr+ tf + TL <br />

------------------------------------------------------<br />

t c<br />

2 ts<br />

TL<br />

Nm<br />

Tp<br />

time<br />

time<br />

Nm

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