14/17
Figure 19: Multimotor Synchronization. Large and Small Motor. Slow Current Decay
THERMAL OPERATING CONDITIONS
In many cases the modules do not require any
additional coolingbecause the dimensions and the
shape of the metal box are studied to offer the
minimum possible thermal resistance case-to-ambient for a given volume.
It should be remembered that these modules area
power deviceand, depending onambient temperature, an additional heath-sink or forced ventilation
or bothmay be requiredto keep the unitwithin safe
temperature range. (Tcase
max
<85°C during op-
eration).
The concept of maximum operating ambient tem-
perature is totally meaningless when dealing with
power components because the maximum operating ambienttemperature depends on how a power
device is used.
What can be unambiguously defined is the case
temperature of the module.
To calculate the maximumcase temperature of the
module in a particular applicative environment the
designer must know the following data:
– Input voltage
– Motor phase current
– Motor phase resistance
– Maximum ambient temperature
From thesedata itis easy to determinewhether an
additional heath-sink is required or not, and the
relevant size i.e. the thermal resistance.
The stepby stepcalculation isshown for thefollowing example (GS-D200).
Vin=40V,I
phase
= 1 A, RphPhase resistance =
=10Ω, max. TA=50°C
● Calculate the power dissipated from the indexer
logic and the level shifter (see electrical characteristics):
P
logic
=(5V•60 mA) +(40 V • 20 mA) = 1.1 W
● Calculatetheaverage voltageacross the winding
resistance:
V
out
=(Rph• I
out
)=10Ωζ1A=10V
● Calculatethe required ONdutycycle (D.C.)of the
output stage to obtain the average voltage (this
D.C. is automatically adjusted by the GS-D200):
D.C. =
V
out
V
in
=
10
40
= 0.25
● Calculate the power dissipation of the GS-D200
output power stage. The power dissipation depends on twomain factors:
– the selected operating mode (FAST or SLOW
DECA Y)
– the selected drive sequence (WAVE, NORMAL,
HALF STEP)
FAST DECAY. For this mode of operation, the
internal voltage drop isVsat
source
+Vsat
sink
during
the ON period i.e. for 25 % of the time.
During the recirculation period (75 % of the time),
the current recirculates on two internal diodes that
have avoltage dropVd=1 V,andtheinternal sense
resistor (0.5 Ω). For this example, by assuming
maximum values for conservative calcu lations,the
power dissipation during one cycle is:
Ppw= 1.1 • [2 V
sat
• Iph• D.C.+ 2 Vd• Iph•
(1 - D.C.)+ 0.5 • Iph]
GS-D200/GS-D200S