APS12205 Datasheet, PDF (9/12 Pages) Allegro MicroSystems – High-Temperature Chopper-Stabilized Precision Hall-Effect Latches for 5 V Applications

APS12205,
APS12215,
and APS12235
High-Temperature Chopper-Stabilized Precision
Hall-Effect Latches for 5 V Applications
POWER DERATING
The device must be operated below the maximum junction tem-
perature of the device, T_J(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 T_J. (Thermal data is also available on the
Allegro MicroSystems website.)
For example, given common conditions such as: T_A= 25°C,
V_CC = 5 V, I_CC = 2.5 mA, V_OUT = 185 mV, I_OUT = 2 mA (output
on), and R_θJA = 165°C/W, then:
P_D = (V_CC × I_CC) + (V_OUT × I_OUT) =
(5 V × 2.5 mA) + (185 mV × 2 mA) =
12.5 mW + 0.4 mW = 12.9 mW
ΔT = P_D × R_θJA = 12.9 mW × 165°C/W = 2.1°C
The Package Thermal Resistance, R_θJA, 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_θJC, is relatively
small component of R_θJA. Ambient air temperature, T_A, and air
motion are significant external factors, damped by overmolding.
The resulting power dissipation capability directly reflects upon
the ability of the device to withstand extreme operating condi-
tions. The junction temperature mission profile specified in the
Absolute Maximum Ratings table designates a total operating life
capability based on qualification for the most extreme conditions,
where T_J may reach 175°C.
The silicon IC is heated internally when current is flowing into
the VCC terminal. When the output is on, current sinking into the
VOUT terminal generates additional heat. This may increase the
junction temperature, T_J, above the surrounding ambient tempe-
rature. The APS12205, APS12215, and APS12235 are permitted
to operate up to T_J = 175°C. As mentioned above, an operating
device will increase T_J according to equations 1, 2, and 3 below.
This allows an estimation of the maximum ambient operating
temperature. 
× ^PD ^{= V}IN ^IIN ⁽¹⁾
ΔT = P_{D ×} R_θJA (2)
T_J = T_A + ΔT = 25°C + 2.1°C = 27.1°C
A worst-case estimate, P_D(max), represents the maximum allow-
able power level (V_CC(max), I_CC(max)), without exceeding
T_J(max), at a selected R_θJA.
For example, given the conditions R_θJA = 228°C/W, T_J(max) =
175°C, V_CC(max) = 5.5 V, I_CC(max) = 4 mA, V_OUT = 500 mV,
and I_OUT = 10 mA (output on), the maximum allowable operating
ambient temperature can be determined.
The power dissipation required for the output is shown below:
P_D(V_OUT) = V_OUT × I_OUT = 500 mV × 10 mA = 5 mW
The power dissipation required for the IC supply is shown below:
P_D(V_CC) = V_CC × I_CC = 5.5 V × 4 mA = 22 mW
Next, by inverting using equation 2:
ΔT = P_D × R_θJA = [P_D(V_OUT) + P_D(V_CC)] × 228°C/W =
(5 mW + 22 mW) × 228°C/W =
27 mW × 228°C/W = 6.2°C
Finally, by inverting equation 3 with respect to voltage:
T_A(est) = T_J(max) – ΔT = 175°C – 6.2°C = 168.8°C
In the above case there is only sufficient power dissipation capa-
bility to operate up to T_A(est). This particular result indicates that,
at T_J(max), the application and device can only dissipate adequate
amounts of heat at ambient temperatures ≤ T_A(est).
T_J = T_A + ΔT (3)
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