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A1351
High Precision Linear Hall Effect Sensor IC
with a Push/Pull, Pulse Width Modulated Output
9
Allegro MicroSystems, Inc.
115 Northeast Cutoff
Worcester, Massachusetts 01615-0036 U.S.A.
1.508.853.5000; www.allegromicro.com
and for unipolar devices as:
D(BPOS) – D(Q)
BPOS
Sens =
,
(5)
where BPOS and BNEG are two magnetic fields with opposite
polarities.
Guaranteed Sensitivity Range
The magnetic sensitivity, Sens,
can be programmed around its nominal value within the sensitiv-
ity range limits: Sens(min) and Sens(max). Refer to the Guaran-
teed Quiescent Duty Cycle Output Range section for a conceptual
explanation of how value distributions and ranges are related.
Average Sensitivity Step Size
Refer to the Average Quiescent
Duty Cycle Output Step Size section for a conceptual explana-
tion.
Sensitivity Programming Resolution
Refer to the Quiescent
Duty Cycle Output Programming Resolution section for a con-
ceptual explanation.
Carrier Frequency Programming Range
The PWM output sig-
nal carrier frequency, fPWM,can be programmed around its nomi-
nal value within the carrier frequency range limits, fPWM(min)
and fPWM(max). Refer to the Guaranteed Quiescent Duty Cycle
Output Range section for a conceptual explanation of how value
distributions and ranges are related.
Average Carrier Frequency Step Size
Refer to the Average
Quiescent Duty Cycle Output Step Size section for a conceptual
explanation.
Carrier Frequency Programming Resolution
Refer to the Qui-
escent Duty Cycle Output Programming Resolution section for a
conceptual explanation.
Sensitivity Temperature Coefficient
Device sensitivity changes
as temperature changes, with respect to its programmed sensitiv-
ity temperature coefficient, TCSENS. TCSENS is programmed at
125°C, and calculated relative to the nominal sensitivity program-
ming temperature of 25°C. TCSENS (%/°C) is defined as:
Sens
T2 – SensT1
Sens
T1
T2–T1
1
TC
Sens =
×100%
,
(6)
where T1 is the nominal Sens programming temperature of 25°C,
and T2 is the TCSENS programming temperature of 125°C. The
ideal value of Sens over the full ambient temperature range,
SensEXPECTED(TA), is defined as:
Sens
T1 [1 + TCSENS (TA –T1) / 100%]
Sens
EXPECTED(TA) =
(7)
SensEXPECTED(TA) should be calculated using the actual measured
values of SensT1 and TCSENS rather than programming target values.
Sensitivity Drift Through Temperature Range
Second order
sensitivity temperature coefficient effects cause the magnetic sen-
sitivity, Sens, to drift from its expected value over the operating
ambient temperature range, TA. For purposes of specification, the
sensitivity drift through temperature range, SensTC, is defined
as:
Sens
TA – SensEXPECTED(TA)
Sens
EXPECTED(TA)
Sens
TC =
×100% .
(8)
Sensitivity Drift Due to Package Hysteresis
Package stress and
relaxation can cause the device sensitivity at TA = 25°C to change
during and after temperature cycling.
For purposes of specification, the sensitivity drift due to package
hysteresis, SensPKG, is defined as:
Sens
(25°C)2 – Sens(25°C)1
Sens
(25°C)1
Sens
PKG =
×100% ,
(9)
where Sens(25°C)1 is the programmed value of sensitiv-
ity at TA = 25°C, and Sens(25°C)2 is the value of sensitivity at
TA = 25°C, after temperature cycling TA up to 125°C, down to
–40°C, and back to up 25°C.
Linearity Sensitivity Error
The 1351 is designed to provide a
linear output in response to a ramping applied magnetic field.
Consider two magnetic fields, B1 and B2. Ideally, the sensitivity
of a device is the same for both fields, for a given supply voltage
and temperature. Linearity error is present when there is a differ-
ence between the sensitivities measured at B1 and B2.
Linearity Error is calculated separately for the positive
(LinERRPOS) and negative (LinERRNEG) applied magnetic fields.
Linearity error (%) is measured and defined as:
Sens
BPOS2
Sens
BPOS1
Sens
BNEG2
Sens
BNEG1
1–
Lin
ERRPOS =
×100% ,
1–
Lin
ERRNEG =
×100% ,
(10)
where:
|D(Bx) – D(Q)|
Bx
SensBx =
,
(11)
and BPOSx and BNEGx are positive and negative magnetic fields,
with respect to the quiescent voltage output such that
BPOS2 = 2 × BPOS1 and BNEG2 = 2 ×BNEG1. Then:
Lin
ERR
max( LinERRPOS , LinERRNEG)
=
.
(12)
Note that unipolar devices only have positive linearity error,
LinERRPOS.