![](data:image/jpeg;base64,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)
Chopper Stabilized Precision Hall Ef fect Latches
A1220, A1221,
A1222, and A1223
12
Allegro MicroSystems, Inc.
115 Northeast Cutoff
Worcester, Massachusetts 01615-0036 U.S.A.
1.508.853.5000; www.allegromicro.com
Power Derating
The device must be operated below the maximum junction
temperature 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. (Thermal data is also available on the
Allegro MicroSystems website.)
The Package Thermal Resistance, RJA, is a figure of merit sum-
marizing the ability of the application and the device to dissipate
heat from the junction (die), through all paths to the ambient air.
Its primary component is the Effective Thermal Conductivity, K,
of the printed circuit board, including adjacent devices and traces.
Radiation from the die through the device case, RJC, is relatively
small component of RJA. Ambient air temperature, TA, and air
motion are significant external factors, damped by overmolding.
The effect of varying power levels (Power Dissipation, PD), can
be estimated. The following formulas represent the fundamental
relationships used to estimate TJ, at PD.
PD = VIN × IIN (1)
T = PD × RJA (2)
TJ = TA + ΔT (3)
For example, given common conditions such as: TA= 25°C,
VCC = 12 V, ICC = 1.6 mA, and RJA = 165 °C/W, then:
P
D = VCC × ICC = 12 V × 1.6 mA = 19 mW
T = PD × RJA = 19 mW × 165 °C/W = 3°C
T
J = TA + T = 25°C + 3°C = 28°C
A worst-case estimate, PD(max), represents the maximum allow-
able power level (VCC(max), ICC(max)), without exceeding TJ(max),
at a selected RJA and TA.
Example: Reliability for VCC at TA =
150°C, package LH, using a
minimum-K PCB.
Observe the worst-case ratings for the device, specifically:
RJA
=
228°C/W, TJ(max) =
165°C, VCC(max)
= 24 V, and
ICC(max) = 4 mA.
Calculate the maximum allowable power level, PD(max). First,
invert equation 3:
Tmax = 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) = Tmax ÷ RJA = 15°C ÷ 228 °C/W = 66 mW
Finally, invert equation 1 with respect to voltage:
VCC(est) = PD(max) ÷ ICC(max) = 66 mW ÷ 4 mA = 16.4 V
The result indicates that, at TA, the application and device can
dissipate adequate amounts of heat at voltages ≤VCC(est).
Compare VCC(est) to VCC(max). If VCC(est) ≤ VCC(max), then reli-
able operation between VCC(est) and VCC(max) requires enhanced
RJA. If VCC(est) ≥ VCC(max), then operation between VCC(est)
and VCC(max) is reliable under these conditions.