ATS657LSHTN-T datasheet(13/15 Pages) ALLEGRO

13 / 15 page

Dynamic, Self-Calibrating, Threshold-Detecting, Differential

Speed and Direction Hall-Effect Gear Tooth Sensor IC

ATS657

Allegro MicroSystems, Inc.

115 Northeast Cutoff

Worcester, Massachusetts 01615-0036 U.S.A.

1.508.853.5000; 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. (Thermal data is also available on the

Allegro MicroSystems Web site.)

The Package Thermal Resistance, RJA, 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, RJC, is

a relatively small component of RJA. 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

× RJA

(2)

TJ = TA + ΔT

(3)

For example, given common conditions such as: TA= 25°C,

VCC = 12 V, ICC = 6.5 mA, and RJA = 126 °C/W, then:

PD = VCC

× ICC = 12 V × 6.5 mA = 78 mW

T = PD

× RJA = 78 mW × 126 °C/W = 9.8°C

TJ = TA + T = 25°C + 9.8°C = 34.8°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 RJA and TA.

Example: Reliability for VCC at TA=150°C, package SH, using

single layer PCB.

Observe the worst-case ratings for the device, specifically:

RJA=126°C/W, TJ(max) =165°C, VCC(absmax)=24 V, and

ICC = 13 mA (Note: At maximum target frequency, ICC(LOW) =

8 mA, ICC(HIGH) = 16 mA, and maximum pulse widths, the result

is a duty cycle of 62.4% and a worst case mean ICC of 13 mA.)

Calculate the maximum allowable power level, PD(max). First,

invert equation 3:

T(max) = 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) = T(max) ÷RJA =15°C÷126 °C/W=119mW

Finally, invert equation 1 with respect to voltage:

VCC(est) = PD(max) ÷ ICC= 119mW÷13mA=9.2 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

RJA. If VCC(est) ≥ VCC(max), then operation between VCC(est) and

VCC(max) is reliable under these conditions.

Power Derating

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