Chopper-Stabilized, Two-Wire
Hall-Effect Switches
11
A1152-F, A1153-F,
A1155-F, and A1156-F
Allegro MicroSystems, LLC
955 Perimeter Road
Manchester, NH 03103-3353 U.S.A.
www.allegromicro.com
The device must be operated below the maximum junction tem-
perature of the device, TJ(max). Under certain combinations of
peak conditions, reliable operation may require derating supplied
power or improving the heat dissipation properties of the appli-
cation. This section presents a procedure for correlating factors
affecting operating TJ.(Thermaldataisalsoavailableonthe
AllegroMicroSystemsWebsite.)
ThePackageThermalResistance,RθJA, is a figure of merit sum-
marizing the ability of the application and the device to dissipate
heatfromthejunction(die),throughallpathstotheambientair.
ItsprimarycomponentistheEffectiveThermalConductivity,K,
of the printed circuit board, including adjacent devices and traces.
Radiationfromthediethroughthedevicecase,RθJC, is relatively
small component of RθJA. Ambient air temperature, TA, and air
motion are significant external factors, damped by overmolding.
Theeffectofvaryingpowerlevels(PowerDissipation,PD),can
be estimated. The following formulas represent the fundamental
relationships used to estimate TJ,atPD.
PD = VIN × IIN (1)
ΔT = PD × RθJA (2)
TJ = TA + ΔT (3)
For example, given common conditions such as: TA= 25°C,
VCC = 12V,ICC = 4 mA, and RθJA =140°C/W,then:
PD = VCC × ICC = 12 V × 4 mA = 48 mW
ΔT = PD × RθJA = 48 mW × 140 °C/W = 7°C
TJ = TA + ΔT = 25°C + 7°C = 32°C
A worst-case estimate, PD(max),representsthemaximumallow-
ablepowerlevel(VCC(max),ICC(max)),withoutexceeding
TJ(max), at a selected RθJA and TA.
Example:ReliabilityforVCC at TA
=
150°C,packageUA,usinga
low-KPCB.
Observe the worst-case ratings for the device, specifically:
RθJA=
213°C/W,TJ(max) =
165°C,VCC(max)
= 24V,and
ICC(max) = 17 mA.
Calculate the maximum allowable power level, PD(max). First,
invert equation 3:
ΔTmax = TJ(max) – TA = 165
°C
–
150
°C = 15
°C
This provides the allowable increase to TJ resulting from internal
power dissipation. Then, invert equation 2:
PD(max) = ΔTmax ÷ RθJA = 15°C ÷ 213 °C/W = 70.5 mW
Finally, invert equation 1 with respect to voltage:
VCC(est) = PD(max) ÷ ICC(max) = 70.5 mW ÷ 17 mA = 4.15 V
The result indicates that, at TA, the application and device can
dissipateadequateamountsofheatatvoltages≤VCC(est).
CompareVCC(est)toVCC(max).IfVCC(est)≤VCC(max),thenreli-
ableoperationbetweenVCC(est)andVCC(max)requiresenhanced
RθJA.IfVCC(est)≥VCC(max),thenoperationbetweenVCC(est)
andVCC(max)isreliableundertheseconditions.
Power Derating