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FAN8460MTC/FAN8460MP
Single Phase Full Wave BLDC Motor Driver with Variable Speed Control
Features
* Output direct PWM drive for speed control * Selectable PWM frequency : internal or external * Versatile speed control inputs: A thermistor or PWM input. * A wide range of operating voltage: 3.2V to 28V * Locked rotor protection with open collector output and auto retry * Open collector hall output for speed feedback * Adjustable minimum speed * Thermistor disconnection protection * TSD protection.
Description
The FAN8460MTC/FAN8460MP is a single phase BLDC motor driver with variable speed control using output direct PWM method and it's typical application is DC cooling fans with wide range of supply voltage(5/12/24V). This approach eliminates the need for external pass devices such as BJT, MOSFET. This solution also offers other advantages over commonly used external PWM turning fan's power on and off at fixed frequency. The external PWM increas stress on fan and needs level translation in speed and alarm output because these outputs share the fan's negative terminal. In case of CPU cooling, digital controller can give speed control command with PWM signal adjusting the duty. If a system has no digital controller, the NTC thermistor input mechanism can control fan speed with local or ambient temperature sensing.These two kinds of input schemes can meet various system requirements and applications.
14-TSSOP
14-MLP 4X4
Typical Applications
* CPU Cooling Fans * Instrumentation Fans * Desktop PC Fans
Ordering Information
Device FAN8460MTC FAN8460MTCX FAN8460MPX Package 14-TSSOP 14-TSSOP 14-MLP 4x4 Operating Temp. -30C ~ 90C -30C ~ 90C -30C ~ 90C
Rev.1.0.3
(c)2004 Fairchild Semiconductor Corporation
FAN8460MTC/FAN8460MP
Block Diagram
9
VM
TACO
14
6 8
OUTA OUTB
Commutation & Control & TSD
PWM
AL
13
H+ H-
2 1
10 7
VS GND
Lock Detection & Auto Restart
LD
3
VLDCP
12
CT
VLDCL Triangle Wave Generator Switching Control
VPWM
5
VS
2V Reference PWM SPWM Decoder
IPWM VCON VREF
11 4
2
FAN8460MTC/FAN8460MP
Pin Definitions
Pin Number
1 2 3 4 5 6 7 8 9 10 11 12 13 14
Pin Name
H- H+ LD VREF VPWM OUTA GND OUTB VM VS VCON CT AL TACO
I/O
A A A A I A P A P P A A O O
Pin Function Description
Hall input Hall input + Sawtooth wave generator for lock detector and automatic restart Reference voltage output PWM input for speed control Motor output A Ground Motor output B Power supply for output stage Power supply for signal block Speed control signal Triangle waveform out Alarm output Speed output
Remark
-
-
Open collector Open collector
3
FAN8460MTC/FAN8460MP
Absolute Maximum Ratings (Ta = 25C)
Parameter
Maximum power supply voltage Thermal resistance
Symbol
VSMAX, VMMAX Rja
Value
32 143 (FAN8460MTC) 150 (FAN8460MP case1) 45 (FAN8460MP case2) 870 (FAN8460MTC)
Unit
V
o
C/W C/W
oC/W o
mW mW mW V A A mA V V V C C
Maximum power dissipation Maximum output voltage Maximum output current Maximum output peak current Maximum Taco/Alarm output current Taco/Alarm output sustain voltage Hall output withstanding voltage VPWM Input voltage Operating temperature Storage temperature
PDMAX VOMAX IOMAX IOPEAK ITACO/AL VTACO/AL VHO VVPWM TOPR TSTG
800 (FAN8460MP case1) 2700 (FAN8460MP case2) 36 0.8note 1.2note 5 36 36 -0.3~ VS -30 ~ 90 -55 ~ 150
Case 1
Case 2
Remark
Pd is measured base on the JEDEC/STD(JESD 51-2)
Power plane(Cu)
GND plane(Cu)
PCB(glass-epoxy)
Via
Pd= 0.8W
note :
Pd= 2.7W
1. Refer: EIA/JESD 51-2 & EIA/JESD 51-3 & EIA/JESD 51-5 & EIA/JESD 51-7 2. Case 1: Single layer PCB with 1 signal plane only, PCB size 76mm x 114mm x 1.6mm. 3. Case 2: Multi layer PCB with 1 signal, 1 power and 1 ground planes, PCB size 76mm x 114mm x 1.6mm, Cu plane sizes for power and ground 74mm x 74mm x 0.035mm, thermal via hole pitch 0.9mm, via hole size 0.3mm, 6 via hole. 4. Should not exceed PD or ASO value. 5. IOPEAK time is within 2us.
4
FAN8460MTC/FAN8460MP
Power Dissipation Curve
Pd [mW] 3,000 2,000 case2
SOA
1,000 0 case1 0 25
14TSSOP
50
75
100
125
150
175
Ambient Temperature, Ta [C]
Recommended Operating Conditions (Ta = 25C)
Parameter
Supply voltage for signal block Supply voltage for output stage
Symbol
VS VM
Min.
3.2 3.2
Typ.
- -
Max.
28 28
Unit
V V
5
FAN8460MTC/FAN8460MP
Equivalent Circuits
Description Pin No. Internal Circuit
VCC
Hall input
1,2
1
2
VCC
LD 3
3
VM
Output
6,8
6 8
13
14
AL/TACO
13 , 14
6
FAN8460MTC/FAN8460MP
Equivalent Circuits
Description Pin No. Internal Circuit
Reference
VPWM
5
5
VCC
VCON/CT
11/12
11 12
7
FAN8460MTC/FAN8460MP
FAN8460MTC/FAN8460MP Electrical Characteristics
(Ta = 25C, VS = 12V unless otherwise specified)
Parameter Common Block
Supply current Reference output voltage Reference output voltage
Symbol
ICC VREF1 VREF2 ILDC ILDD VLDCL VLDCP ICTD ICTC VCTMIN VCTMAX IVCON VCONL VPWML VPWMH IPWML VOSH VOSL VTACOS ITACO VALS IAL VHDC VHOF
Conditions
Min.
-
Typ.
4.5 2.0 1.94 2.2 0.33 2.6 0.6 -6 6 0.8 1.8 200 -
Max.
7 2.15 2.13 2.9 0.50 2.9 0.8 -4.8 7.2 0.89 1.9 220 300 0.5 100 1.1 0.3 0.3 10 0.3 10 VS-2.8 10
Unit
mA V V A A V V A A V V A mV V V A V V V A V A V mV
Iref=200uA Iref=2mA VLD=0V-->1.5V ,VLD=1.5V VLD=3V-->1.5V ,VLD=1.5V VCT=2.0V-->1.2V,VCT=1.2V VCT=0.5V-->1.2V,VCT=1.2V VVCON=2V, PWM=H
1.85 1.75 1.4 0.15 2.3 0.4 -7.2 4.8 0.71 1.7 180 -
Lock Detector & Auto Restart
LD charging current LD discharging current LD clamp voltage LD comparator voltage
Triangle Wave Generator
CT discharging current CT charging current CT valley voltage CT peak voltage
Speed Control Voltage
VCON output current Output OFF VCON low voltage
VPWM Input
VPWM low Voltage VPWM high Voltage VPWM input current 2.8 VVPWM=5V IO=200mA IO=200mA ITACO=5mA VTACO=12V IAL=5mA VAL=12V 0 -10 70 0.9 0.2 0.1 0.1 0.1 0.1 -
Output Stage
High side output saturation voltage Low side output saturation voltage TACO output saturation voltage TACO output leakage current AL output saturation voltage AL output leakage current
Speed output (TACO) & Lock Detection Output (AL)
Hall Amplifier
Input range Input offset
8
FAN8460MTC/FAN8460MP
Application Information
1 Direct output PWM for FAN Motor Speed Control
Direct output PWM method is used to control driving power to a fan motor and thus fan motor speed. A motor current, and thus fan motor speed is proportional to duty-cycle of output PWM signal in FAN8460MTC/FAN8460MP. The internal PWM signal is driven by comparing a triangle wave (PWM oscillator output, VCT) and a control DC voltage VVCON). Figure.1 illustrates the relationships among oscillator output (VCT), speed control voltage (VVCON), motor current, and output PWM duty.
VCT VVCON iM
1.8V 0.8V VVCON ifreewheeling iM VCT
iM(avg)
tPWM
PWM
tON tOFF
High Speed
Mid Speed
Low Speed
Figure 1. Basic Speed Control Concept
.
Output PWM(Duty)
100%
50%
0
0.8V
1.3V
1.8V
2V
Speed Control Voltage(VVCON)
Figure 2. The Relationship Between Speed Control Voltage and Output PWM Duty
As shown in figure2, the output PWM duty-cycle can be decreased as VVCON is increased. The effective range of speed control voltage (VVCON) is 0.8 ~1.8V(typical) which represents a duty-cycle range of 0% to 100% on PWM signal.When VVCON is 1.3V, the output PWM duty becomes 50%.
2 H-bridge motor driver (OUTA, OUTB)
Using an H-bridge to drive a single-phase BLDC motor provides several advantages for DC fans over a two phase motor commonly driven by two commutated low-side switches. A single phase motor has only two connections; hence, the H-bridge topology requires only two output terminals and two traces are needed on the fan PCB. Generally, this H-bridge method with single phase motor increases fan motor torque density over a typical unipolar drive method. In addition, the H-bridge topology eliminates the number of external component for snubbing and allows recirculation of winding current to maintain energy in a
9
FAN8460MTC/FAN8460MP
motor while PWM switching occurs. PWM occurs on the high side, and the freewheeling current flow on the low side during TOFF.
3 Triangle Waveform Generator (PWM Oscillator)
The PWM oscillator output (VCT) sets output PWM frequency using external capacitor (CT). When VCT reaches the upper threshold(1.8V typical) by internal current source(6uA typical), CT begins to be discharged by internal current sink(-6uA typical) until the low threshold(0.8V typical). It repeats the charging and discharging cycle. To have a desired PWM frequency, fCT, can be calculated as follows;
ICTC CT = -------------------------------------------------------------------2fCT x ( VCTMAX - VCTMIN )
For example, CT = 100pF, then fCT is about 25KHz.
4. Speed Control Voltage (VVCON) and Active Filter (PWM Decoder)
In general, many PC super IO and hardware monitoring ICs provide one of two fan speed control output to provide variable fan speed control without an external drive power stage. FAN8460MTC/FAN8460MP have two type of input stage scheme. This means an end user can control the fan speed with a PWM signal or a DC control voltage (typically thermistor input). Figure.3 shows two kind of input stages; ambient temperature based input stage using thermistor(figure.3a) and digital PWM input stage(figure.3b).
100pF
12
CT
VS
100pF
12
CT
VS
PWM Decoder
VPWM
5
2V Reference
VCON
11 4
PWM Decoder
VPWM
5
2V Reference
VCON
11 4
VREF
VREF
6.2K RMIN RPWM RNTC ROPT 120K CPWM RPWM
Figure 3. Input Stages and Speed Control Voltage Output
4.1 NTC Thermistor based Speed Control(Scheme 1)
When the ambient temperature based speed control is used, the VPWM pin must be connected with ground as shown figure.3a. The VVCON will be adjusted automatically by ambient temperature with NTC thermistor. When the ambient temperature increases, decreased thermistor resistance results in low VVCON and high fan motor speed. An optional resistor, RMIN, is set to a minimum speed when thermistor is accidentally disconnected. The VVCON is calculated as follows;
( RMIN || RNTC ) VVCON = ------------------------------------------------------------- x VVREF ( RMIN || RNTC ) + RPWM
For example, RPWM = 3K, RMIN =open, RNTC=10K, the VVCON is shown in fig4.a. When the temperature is higher than 65, motor will run at full speed. In case, the temperature is under 5C, no drive will be present. But the practical motor stop temperature is slightly higher than 5C because motor needs minimum starting torque depending on mechanics, motor size. In case, the RMIN is not used, fan motor runs at full speed when the thermistor is accidentally disconnected. Another example is useage of optinal resistor RMIN to limit minimum motor speed. For example, RPWM = 1.5K, RMIN = 3.3K, RNTC=10K, fig4.b shows the resultant VCON voltage is under 1.3V and thus the minimum PWM duty will be over 0.5. It means motor will runs at medium speed even if NTC is disconnected accidentally.
10
FAN8460MTC/FAN8460MP
1 KohmN C 0 T 4 0 3 6 10K NTC[K ohm] 3 2 2 8 2 4 2 0 1 6 1 2 8 4 0 0 10 20 30 40
VC Nvolta e O g 2 1 .8 1 .4 1 .2 1 0 .8 0 .6 0 .4 0 .2 0 50 60 70 80 90 100 VCON voltage[V] 1 .6
10KNTC 40 36 32 28 24 20 16 12 8 4 0
Equivalent Resistance
V ON voltage C 2 1.8 1.6 1.4 1.2 1 0.8 0.6 0.4 0.2 0
90 10 0
temera p ture[C ]
tem erature[C p ]
Figure 4. Sensed temperature and speed control voltage
4.2 PWM Speed Control using Internal Oscillator(Scheme 2)
A digital PWM input applied to VPWM pin is converted to analog DC voltage by PWM decoder and external RC filter. The external filter capacitor, CPWM, eliminates high frequency AC component in VVCON. If a large value of CPWM is used, VVCON has smaller value of AC component (ripple), but larger time delay can be occurred in VVCON with some fixed input frequency. The lower frequency of digital PWM input needs the larger value of CPWM. External resistor RPWM, RPWM define the VVCON range as follow;
R OPT V VCON ( ON ) = { V REF - ( R PWM x I VCON ) } x ------------------------------R OPT + R PWM V VCON ( OFF ) = V VREF x R OPT ( R PWM + R OPT )
VVCON(V)
1.9V
1.8V
Output PWM(Duty)
100% 50%
0.8V
0%
0.72V
0
8%
50%
92% 100%
0
8%
50%
Digital VPWM Input Duty
Digital VPWM Input Duty
Figure 5. The Relationship Digital PWM Input Duty VS VVCON and Output PWM Duty
For example, RPWM =6.2K and ROPT =120K, VVCON become between 0.72V and 1.9V, because VVREF=2V, IVOCN = 200uA. For some design margin, under the 8% duty of digital PWM input, fan motor stops because the output PWM duty is 0. If the duty of digital PWM input is lager than 0.92, then output PWM duty is 100%. It means fan motor is operated in full speed. Figure5.a shows the relationship between digital PWM input and active filter out (VVCON) and figure5.b illustrates the
70 80
0 10 20
30 40
50 60
88% 100%
VCON voltage[V]
10K NTC[Kohm
11
FAN8460MTC/FAN8460MP
output PWM duty is proportional to input PWM duty with some dead band. The output PWM frequency is defined by external capacitor, CT. So there is no relationship between VPWM input frequency and output PWM frequency. Table 1 summarizes the motor speed according to digital VPWM input and VVCON
Table 1. .Operation Tables
Mode
VPWM H L H/L GND
VCON L H Depend on mother board PWM signal Depend on thermistor resistance
Speed Condition Full Speed Stop proportional to PWM input duty The higher TEMP, the faster fan speed
PWM Input Thermistor Input
4.3 PWM Speed Control using External PWM Input(Scheme 3)
This scheme indicates that digital PWM input signal becomes directly output PWM signal. In other word, frequency and duty of output PWM driving signal is the same as this digital PWM input. In case input PWM frequency is very low, active filter needs large value of capacitor to make speed control voltage in scheme 2. This scheme dosen't need filter capacitor and has good input/output characteristics. This means that there is no deadband and output signals are synchronized with input VPWM signal as shown in figure6.
CT
12
VCC
180K
PWM Decoder
VPWM
5
2V Reference
VCON
11 4
HH+ VPWM OUTA OUTB
VREF
6.2K 20K RPWM
Figure 6. Interface and it's Related Waveforms Scheme3
4.4 Offset comparator(Thermistor open protection)
If under 100mV difference between VREF and VCON, fan motor runs at full speed.
5 Locked Rotor Protection with Open Collector Output and Automatic Restart
When the rotor is locked, there is no change in input signal of hall amplifier and thus a internal TZERO pulse is not observed. A capacitor (CLD) connected LD pin is continually charged by internal current source (iLDC) to the internal threshold (VLDCL) resulting from no Tzero pulse. When the voltage, VCLD on LD pin, reaches VLDCL, high side output power TR is turned-off to protect motor during TOFF and the alarm output (AL) becomes floating high. When the VCLD reaches upper threshold, VLDCL, VCLD starts to decrease with internal current sink (iLDD) to the low threshold, VLDCP. At that time, the VCLD ramps up again and one of two outputs is turned on depending on locked rotor position during TON. The charging and discharging repeat until locked condition is removed, or FAN8460MTC/FAN8460MP is powered down. The overall time chart is shown in figure.6. The auto- retry time (TON), the motor protection time (TOFF) and the locked rotor detection time (TLOCK) are proportional to external capacitor, CLD. Each value can be calculated as follows;
12
FAN8460MTC/FAN8460MP
C LD x ( V LDCL - V LDCP ) T ON = -------------------------------------------------------i LDC C LD x ( V LDCL - V LDCP ) T OFF = -------------------------------------------------------i LDD C LD x V LDCL T LOCK = ----------------------------i LDC
For example, CLD = 0.33uF, then TON= 0.3Sec,TOFF= 2Sec,TLOCK=0.4Sec. This AL output can be used to inform a locked rotor condition to super IO or system controller. Because the AL output is open collector type, end user can pull up this pin with a external resistor to the supply voltage of their choice (that is 5 or 3.3V).
Rotor HH+
NSNSNSN
N
SNSNSNS
TOFF VLDCL VLDCP
TON
LD Tzero OUTB OUTA
Tlock
AL TACO
Motor Locked Lock Released
1 rotation
Figure 7. Overall Timing Chart
13
FAN8460MTC/FAN8460MP
6. Hall Sensor Amplifier
+V
RH H+ 2 CH1
FAN8460MTC FAN8460MP
1
CH2 Ri
H-
Hall Sensor
Figure 1. Hall Sensor Interface
The hall current (IH) is determined as follows;
V CC I H = -------------------------( RH + Ri )
Where, RH is an external limiting resistor and Ri is input impedance of hall sensor. An external capacitor, CH1, can be used to reduce a power supply noise. CH2 can reduce the instant peak current using H-bridge's commutation. The input range of hall amplifier is between 0V and VCC-2.8V as shown in following figure.
VS V S - 2 .8 V
VS / 2
GND
Figure 2. Hall Amplifier Input Range Table 1. Hall Sensor Outputs and Related Pin outputs
(H+) -( H-)
LD
OUT A
OUT B
AL
TACO
Remark
Positive Negative -
Low Level Low Level -
L PWM -
PWM L -
L L H
L H L or H ROTATING LOCK
7 Open Collector TACO Output for Speed Feedback
The TACO output comes from the hall amplifier output. Because the TACO output is open collector type, end user can pull up this pin with a external resistor to the supply voltage of their choice (that is 5 or 3.3V). This resulting output signal has two pulses per revolution on a four pole motor.
9 Supply Voltage Consideration
A supply sustain capacitor (CR) should be placed as close to VM pin with GND as layout permits. A reverse supply protection diode (DR) prevent motor current from recirculating to power source when PWM operation and phase commutation occur. This results in increasing VM and VS pin voltage. This capacitor absorbs motor recirculating current and limits VM and VCC pin voltage. In general, large motor winding inductance and current need large value of CR.
9. Thermal Shutdown
TSD on: Two high side output TR are off.(Typ. 175C) TSD off: The circuit can be reactivated and begin to operate in a normal condition. (Typ. 150C)
14
FAN8460MTC/FAN8460MP
Typical Application Circuits 1 (NTC Thermistor based Speed Control)
V+ DR
9
CR > 0.47uF
eletrolytic 6 8
VM
TACO
R1
14
OUTA OUTB
Commutation & Control & TSD
PWM
AL
R2
13
V+ RH H+ H2 1
Hall
10 7
VS GND
Lock Detection & Auto Restart
LD
3
CLD
VLDCP
12
CT
VLDCL Triangle Wave Generator Switching Control
VPWM
5
CT 100pF
VS
2V Reference PWM SPWM Decoder
IPWM VCON VREF
11 4
RNTC
RPWM
Mode
VPWM
VCON
Speed Condition
Thermistor Input
GND
Depend on thermistor resistance
The higher TEMP, the faster fan speed
15
FAN8460MTC/FAN8460MP
Typical Application Circuits 2 (PWM Input Speed Control using Internal Oscillator)
V+ DR
9
CR > 0.47uF
eletrolytic 6 8
VM
TACO
R1
14
OUTA OUTB
Commutation & Control & TSD
PWM
AL
R2
13
V+ RH H+ H2 1
Hall
10 7
VS GND
Lock Detection & Auto Restart
LD
3
CLD
VLDCP
12
CT
VLDCL Triangle Wave Generator Switching Control
VPWM
5
CT 100pF
VS
2V Reference PWM SPWM Decoder
IPWM VCON VREF
11 4
6.2K ROPT 120K CPWM RPWM
Mode
VPWM
VCON
Speed Condition
H PWM Input L L/H
L H H/L
Full Speed Stop proportional to PWM duty (Duty range:0.15 ~ 0.85)
16
FAN8460MTC/FAN8460MP
Typical Application Circuits 3 (PWM Input Speed Control using External PWM Input )
V+
DR
9
CR > 0.47uF
eletrolytic 6 8
VM
TACO
R1
14
OUTA OUTB
Commutation & Control & TSD
PWM
AL
R2
13
V+ RH H+ H2 1
Hall
10 7
VS GND
Lock Detection & Auto Restart
LD
3
CLD
VLDCP
12
CT
VLDCL Triangle Wave Generator Switching Control
VPWM
5
180K VS
2V Reference PWM SPWM Decoder
IPWM VCON VREF
11 4
6.2K 20K RPWM
Mode
VPWM
VCON
Speed Condition
H PWM Input L H/L
L H L/H
Full speed Stop proportional to PWM Duty
17
FAN8460MTC/FAN8460MP
Package Dimensions (Unit: mm)
14-TSSOP
18
FAN8460MTC/FAN8460MP
Package Dimensions (Unit: mm)
14-MLP 4X4
19
FAN8460MTC/FAN8460MP
Typical Performance characreristics
VS current consumption
2.05
VREF load regulation
5
2.00
ICC[mA]
1.95
VREF[v]
VS=12V
1.90
4
1.85
3 0 5 10 15 VS[V] 20 25 30
1.80 0 1 2 3 4 5
IREF[mA]
VREF line regulation
IVCON line regulation
2.0
210
1.9
IREF=200uA
1.8
IVCON[uA]
0 5 10 15 20 25 30
VREF[V]
1.7
200
1.6
1.5
190 0 5 10 15 VS[V] 20 25 30
VS[V]
Low side TR saturation voltage High side TR saturation voltage 2.5
25
5V at 13ohm 12V at 26ohm 24V at 57ohm
2.0
20
5V 12V 24V 5V 12V 24V
Falling time Falling time Falling time Rising time Rising time Rising time
VCE[V]
1.5 1.0 0.5 0.0 0.0
VS=VM=12V
Supply voltage[V]
0.5 0.6 0.7
15
10
5
0.1
0.2
0.3
0.4
Motor current[A]
0 0 200 400 600 800 1000
Time[ns]
20
FAN8460MTC/FAN8460MP
21
FAN8460MTC/FAN8460MP
DISCLAIMER FAIRCHILD SEMICONDUCTOR RESERVES THE RIGHT TO MAKE CHANGES WITHOUT FURTHER NOTICE TO ANY PRODUCTS HEREIN TO IMPROVE RELIABILITY, FUNCTION OR DESIGN. FAIRCHILD DOES NOT ASSUME ANY LIABILITY ARISING OUT OF THE APPLICATION OR USE OF ANY PRODUCT OR CIRCUIT DESCRIBED HEREIN; NEITHER DOES IT CONVEY ANY LICENSE UNDER ITS PATENT RIGHTS, NOR THE RIGHTS OF OTHERS. LIFE SUPPORT POLICY FAIRCHILD'S PRODUCTS ARE NOT AUTHORIZED FOR USE AS CRITICAL COMPONENTS IN LIFE SUPPORT DEVICES OR SYSTEMS WITHOUT THE EXPRESS WRITTEN APPROVAL OF THE PRESIDENT OF FAIRCHILD SEMICONDUCTOR CORPORATION. As used herein:
1. Life support devices or systems are devices or systems which, (a) are intended for surgical implant into the body, or (b) support or sustain life, and (c) whose failure to perform when properly used in accordance with instructions for use provided in the labeling, can be reasonably expected to result in a significant injury of the user.
www.fairchildsemi.com 9/13/04 0.0m 001 Stock#DSxxxxxxxx 2002 Fairchild Semiconductor Corporation
2. A critical component in any component of a life support device or system whose failure to perform can be reasonably expected to cause the failure of the life support device or system, or to affect its safety or effectiveness.

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