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 www.fairchildsemi.com
Application Bulletin AB-12
Insight into Inductor Current
Introduction
The design of the main power inductor in a switching power supply provides many challenges to the engineer. Not only must an inductance value be chosen, but also how much current the inductor can handle, the winding resistance, mechanical factors, etc. This Application Bulletin looks at one of these considerations: understanding the effects of DC current on an inductor. This will provide some of the background necessary to making an informed selection of an inductor.
controller being used, this may be done in one of two ways: the connection to ground can be made with a diode, or with another ("low-side") MOSFET. In the latter case, the converter is called "synchronous". Now consider what happens to the inductor's current during these two states. In State 1, the input voltage is being applied to one side of the inductor, and the output voltage to the other side. For a buck converter, the input voltage is necessarily larger than the output voltage, and so there is a net positive voltage across the inductor. Conversely, in State 2, ground is applied to the side of the inductor that was previously attached to the input voltage. For a buck converter, the output voltage is necessarily positive, and so there is a net negative voltage across the inductor. We recall that the current through an inductor changes according to
dI V = L ---dt
Understanding the Function of the Inductor
An inductor is often described as being part of an LC filter at the output of a switching power supply (with the "C" being the output capacitors). Although this is correct, for the purposes of understanding the design of an inductor it is necessary to have deeper insight into the inductor's operation. In a buck converter (the type used by all Fairchild switching controllers), one end of the inductor is attached to the output voltage, which is DC. The other end is alternately attached to the input voltage or ground, the alternation occurring at the switching frequency (see Figure 1):
VIN State 1 DC Output Voltage + State 2
Thus when the voltage across the inductor is positive (State 1), the inductor current increases; when the voltage across the inductor is negative (State 2), the inductor current decreases. The net current through the inductor is shown in Figure 2:
IDC
IPP
Figure 1. Basic Switching Action of a Converter
State 1 State 2
In State 1, the connection is made to the input voltage: this is done by turning on a ("high-side") MOSFET. In State 2, the connection is made to ground. Depending on the type of
Figure 2. Inductor Current
Rev 1.0.0.
AB-12
APPLICATION BULLETIN
Inspection of this figure shows that the maximum current that the inductor ever sees consists of the DC current, plus half of the peak-to-peak current due to the switching. This latter is called the ripple current. Using the equation above, we can calculate this peak current as:
I PP 1 ( V in - V out ) t on I PK = I DC + ------ = I DC + -- ------------------------------------------- = L 2 2 1 ( V in - V out ) T DC I DC + -- -----------------------------------------------------L 2
Inductor Core Saturation
Having now calculated the peak inductor current, we can look at what this does to the inductor. The fundamental fact to know is that as the current through an inductor increases, its inductance decreases. This is due to the underlying physics of the core material. How much the inductance decreases is the important question: if it decreases too much, the converter may not work properly any more. The current at which the inductor does not function properly in the circuit any more is called the "saturation current", and is a fundamental parameter of the inductor. In practice, the switching power inductors used for converters always have a "soft" saturation. What this means can be understood by viewing a plot of actually measured inductance vs. DC current:
9
where ton is the time that the converter is in State 1, T is the switching period (one over the switching frequency) and DC is the Duty Cycle, that is, the percentage of time that the converter is in State 1. Caveat: This calculation has assumed that the voltage drops due to the various components (such as the resistive drop of the MOSFETs and inductor or current sense resistor, or the forward voltage of a schottky in a non-synchronous converter) are negligible compared to the input and output voltages. If they are not, use these more accurate equations instead:
8 7 6 5 4 3 2 1 0
Synchronous Converter:
I PK 1 ( V in - V out - I R ) ( V out + I R ) = I DC + -- ------------------------------------------------ ----------------------------------T L V in 2
Inductance (mH)
0
1
2
3
4
5
6
7
8
Nonsynchronous Converter:
1 ( V in - V out - I R ) ( V out + I R S + V f ) I PK = I DC + -- ------------------------------------------------ ------------------------------------------------- T L ( V in - I R M + V f ) 2
9 10 11 12 13 14 15 16 17 18 19 20 Current (A)
where Rs is the sum of the sense resistor's resistance and the winding resistance of the inductor, Vf is the forward drop of the schottky, and R is the sum of the resistance of Rs and the on-resistance of the MOSFET, R = Rs + RM.
This inductor has a "soft" saturation characteristic because its inductance doesn't radically decrease at some particular current: as the current increases, the inductance very gradually tails off. NOTE: The relatively large drop in inductance shown in this curve is typical of most inductors such as toroids, gapped Ecores, etc. However, rod core inductors show almost no change in inductance at almost any current. Given this soft saturation characteristic, it is apparent that in most converters, it is adequate to specify the inductor's minimum inductance at the DC output current; adding a little bit of extra current due to the ripple doesn't greatly affect the inductance. In most applications, ripple current will be relatively small anyway, since it directly impacts output ripple voltage. Thus it is common practice in the industry to specify inductance at the DC output current, and to ignore the ripple current in the spec.
2
APPLICATION BULLETIN
AB-12
Notes:
3
AB-12
APPLICATION BULLETIN
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 7/21/98 0.0m 001 Stock#AB00000012 O 1998 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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26
805-003-07AB12-200PA
 Glenair Inc CIRC MGHTY MSE (80/60) - CIRCULAR MIGHTY 1: USD1227.89
2: USD1104.15
4: USD926.48
7: USD891.57
10: USD650.43
 BuyNow
15

Richardson RFPD

Part # Manufacturer Description Price BuyNow  Qty.
SI5351A-B12935-GM
SI5351AB12935GM		 Skyworks Solutions Inc CLOCK GENERATOR RFQ
0
SI5335A-B12530-GM
SI5335AB12530GM		 Skyworks Solutions Inc CLOCK GENERATOR RFQ
0
SI5350AB12247-GM1R
SI5350AB122GM1R		 Skyworks Solutions Inc CLOCK GENERATOR RFQ
0
SI5351A-B12041-GTR
SI5351AB12041TR		 Skyworks Solutions Inc CLOCK GENERATOR RFQ
0
SI5338A-B12615-GMR
SI5338AB12615GR		 Skyworks Solutions Inc CLOCK GENERATOR RFQ
0

Rutronik

Part # Manufacturer Description Price BuyNow  Qty.
PAM2301CAAB120
ICPWM8044		 Diodes Incorporated DC-DC 1.2V 0.8A SOT23-5 D SMD 3000: USD0.231
6000: USD0.1881
9000: USD0.1798
12000: USD0.1782
15000: USD0.1749
 BuyNow
87

Sager

Part # Manufacturer Description Price BuyNow  Qty.
C54EAB125A-110Y
000000000000800839		 Sensata Technologies Sensata Technologies BuyNow
0
K5AB121DEE-Z1
000000000001594777		 OTTO Engineering Inc Rocker Switches Sealed, Illuminated Rocker Switch 8: USD24.98
17: USD22.29
73: USD19.49
156: USD17.76
391: USD17.28
838: USD15.51
 BuyNow
0
R11-2-.500A-B121CH-V
000000000001054430		 Sensata Circuit Breakers Circuit Breakers BuyNow
0
R11-2-2.50A-B121CV-V
000000000000947597		 Sensata Circuit Breakers Circuit Breakers BuyNow
0
R11-61-10.0A-B121EV
000000000000002907		 Sensata Circuit Breakers Circuit Breakers BuyNow
0

Chip 1 Exchange

Part # Manufacturer Description Price BuyNow  Qty.
1AB12312-20003
 INSTOCK RFQ
4000
DS1220AB-120
 Maxim Integrated Products INSTOCK RFQ
240
DS1220AB-120
 INSTOCK RFQ
323
1AB123850002
 INSTOCK RFQ
18455
1AB123110003
 INSTOCK RFQ
48000

Avnet Abacus

Part # Manufacturer Description Price BuyNow  Qty.
MVAB120-48
MVAB120-48		 Murata Manufacturing Co Ltd AC/DC Power Supply Single-OUT 48V 2.5A 75W 8-Pin (Alt: MVAB120-48) BuyNow
0
MVAB120-24
MVAB120-24		 Murata Manufacturing Co Ltd AC/DC Power Supply Single-OUT 24V 5A 75W 8-Pin (Alt: MVAB120-24) BuyNow
0
CD214A-B120LR
CD214A-B120LR		 Bourns Inc - Tape and Reel (Alt: CD214A-B120LR) BuyNow
0
P13QEJ103MAB12
P13QEJ103MAB12		 Vishay Intertechnologies Rotary Potentiometer, Cermet, 10 kOhm, 1Turn, Linear, 1.5 W, � 20% (Alt: P13QEJ103MAB12) BuyNow
0
PTV111-1415A-B1254
PTV111-1415A-B1254		 Bourns Inc Rotary Potentiometer, Carbon, 250 kOhm, 1 Turn, Linear, 50 mW, � 20% (Alt: PTV111-1415A-B1254) BuyNow
0

Avnet Silica

Part # Manufacturer Description Price BuyNow  Qty.
PAM2301CAAB120
PAM2301CAAB120		 Diodes Incorporated Conv DC-DC Single Step Down 2.5V to 5.5V 5-Pin TSOT-25 T/R (Alt: PAM2301CAAB120) BuyNow
3000
EVK-NORA-B120
EVK-NORA-B120		 u-blox AG EVK for NORA-B120, open CPU, Stand-alone Bluetooth Low Energy, u.fl antenna, USB (Alt: EVK-NORA-B120) BuyNow
10
EVK-NORA-B126
EVK-NORA-B126		 u-blox AG EVK for NORA-B126, open CPU, Stand-alone Bluetooth Low Energy, PCB antenna, USB (Alt: EVK-NORA-B126) BuyNow
10
MINI-NORA-B126
MINI-NORA-B126		 u-blox AG Mini EVK for NORA-B126 open CPU, Stand-alone Bluetooth Low Energy, PCB antenna, USB (Alt: MINI-NORA-B126) BuyNow
10
PCF7941ATTM2AB1200,118
PCF7941ATTM2AB1200		 NXP Semiconductors PHSPCF7941ATTM2AB1200,118 (Alt: PCF7941ATTM2AB1200) BuyNow
0

Chip1Stop

Part # Manufacturer Description Price BuyNow  Qty.
S-85V1AB12-I6T1U
C1S713100324889		 ABLIC Inc. DC/DC Switching Regulators 100: USD0.376
50: USD0.409
10: USD0.444
5: USD0.505
 BuyNow
100
S-85S0AB12-I6T1U
C1S713100397229		 ABLIC Inc. DC/DC Switching Regulators 100: USD0.382
50: USD0.4
10: USD0.408
1: USD0.443
 BuyNow
100
S-85S1AB12-I6T1U
C1S713100291679		 ABLIC Inc. DC/DC Switching Regulators 50: USD1.1
10: USD1.15
1: USD1.24
 BuyNow
90

Component Electronics, Inc

Part # Manufacturer Description Price BuyNow  Qty.
BCN164AB121J7
 TT electronics / BI Technologies IN STOCK SHIP TODAY 1000: USD1.5
100: USD1.73
1: USD2.31
 BuyNow
4950
DS1245AB-120
 Dallas Semiconductor IN STOCK SHIP TODAY 1000: USD12.5
100: USD14.42
1: USD19.23
 BuyNow
3

CoreStaff Co Ltd

Part # Manufacturer Description Price BuyNow  Qty.
S-85V1AB12-I6T1U
 ABLIC Inc. RoHS(Ship within 1day) - D/C 2018 1000: USD0.587
500: USD0.618
100: USD0.687
50: USD0.866
10: USD0.962
1: USD1.749
 BuyNow
100
S-85S0AB12-I6T1U
 ABLIC Inc. RoHS(Ship within 1day) - D/C 2019 1000: USD0.759
500: USD0.799
100: USD0.888
50: USD1.119
10: USD1.243
1: USD2.261
 BuyNow
100
S-85S1AB12-I6T1U
 ABLIC Inc. RoHS2(Ship within 1day) - D/C 2017 1000: USD1.023
500: USD1.025
100: USD1.03
50: USD1.05
10: USD1.07
1: USD1.1
 BuyNow
100

DB Roberts

Part # Manufacturer Description Price BuyNow  Qty.
CAB1/2-13X4-STL-ZI
CAB1/2-13X4-STL-ZI		 CARRIAGE BOLT Carriage Bolt BuyNow
50
CAB1/2-13X3-3/4-STL-ZI
CAB1/2-13X3-3/4-STL-ZI		 CARRIAGE BOLT Carriage Bolt 1: USD1.3556
100: USD0.9526
 BuyNow
100
CAB1/2-13X7-STL-ZI
CAB1/2-13X7-STL-ZI		 CARRIAGE BOLT Carriage Bolt BuyNow
20
CAB1/2-13X4-1/2-FLTH-STL
CAB1/2-13X4-1/2-FLTH-STL		 CARRIAGE BOLT Carriage Bolt BuyNow
100
CAB1/2-13X4-SS
CAB1/2-13X4-SS		 CARRIAGE BOLT Carriage Bolt BuyNow
6

FDH Electronics

Part # Manufacturer Description Price BuyNow  Qty.
S3367AB12080342
S3367AB12080342		 SOURIAU-SUNBANK Miscellaneous 1: USD60.225
5: USD60.225
10: USD51.255
25: USD38.855
50: USD38.855
100: USD35.955
250: USD34.913
500: USD34.913
1000: USD34.913
2500: USD34.913
10000: USD34.913
 BuyNow
3

Master Electronics

Part # Manufacturer Description Price BuyNow  Qty.
AB-11AY-12
 TE Connectivity Relay - Open - DPDT - 12V Coil - 5A. 1: USD299.98
 BuyNow
2
AB-11D-12
 TE Connectivity Relay - 12V Coil. 1: USD299.98
 BuyNow
1
SIBF-12-F-S-AB
 Samtec Inc 7511: USD1.05
5032: USD1.07
2516: USD1.37
1036: USD1.49
518: USD2.03
259: USD2.09
111: USD2.2
37: USD2.35
 BuyNow
0
EA2-B2-12-810-22A-AB
 Carling Technologies 500: USD56.73
250: USD58.08
100: USD60.78
50: USD64.83
25: USD70.23
10: USD72.93
5: USD103.99
1: USD131.01
 BuyNow
0
EA2-B2-12-812-22A-AB
 Carling Technologies 500: USD56.73
250: USD58.08
100: USD60.78
50: USD64.83
25: USD70.23
10: USD72.93
5: USD103.99
1: USD131.01
 BuyNow
0

Neutron USA

Part # Manufacturer Description Price BuyNow  Qty.
AB-12
 PEPPERL + FUCHS AUTOMATION Mounting Bracket Right Angle, Retainer for all cylindrical sensors with M12 thread 1: USD42.19
 BuyNow
3
MVAB120-24
 Murata Power Solutions Switching Power Supplies Conv Cool 75W 3.13A FanCool 120W 24V 5A 1: USD149.99
 BuyNow
2
USBEXTAB12
 Addonics Technologies Inc USB 2.0 A /USB 2.0 B M/M CBL 12FT BLACK EXTENSION 1: USD34.99
 BuyNow
50
RKWOODCAB12
 StarTech StarTech.com 12U Office Server Cabinet w/ Wood Finish and Casters 1: USD829.78
 BuyNow
50
AB120718-AX
 Axiom Manufacturing 8GB DDR4-3200 UDIMM FOR DELL DESKTOPS AND 1: USD54.99
 BuyNow
50

New Advantage Corporation

Part # Manufacturer Description Price BuyNow  Qty.
NORA-B126-00B
 u-blox AG 500: USD17.59
1000: USD16.41
 BuyNow
1000
PAM2301CAAB120
 Diodes Incorporated TSOT25/800mA STEP-DOWN DC-DC CONVERTER 3000: USD0.2623
 BuyNow
3000
P13QAP104MAB12H174
 Vishay Sfernice 10: USD94.04
20: USD87.77
 BuyNow
20
SKIIP38NAB12T4V1
 SEMIKRON Igbt Module, Six, 1.2Kv, 103A 20: USD128.75
100: USD115.69
500: USD103.65
1000: USD94.55
 BuyNow
2442
SW-PB8-AB12A1QE-1
 Adam Technologies Inc 200: USD2.91
400: USD2.72
 BuyNow
400

Ozdisan Elektronik

Part # Manufacturer Description Price BuyNow  Qty.
JQ1A-B-12V-F
 Panasonic Electronic Components RELAY POWER 10A 12VDC 1PNC PANASONIC 100: USD0.7333
1: USD0.84329
 RFQ
0
6MSI100VAB-120-50
 Fuji Electric Semiconductors IGBT MOD.SIX 100A 1200V HYBIRD 10: USD651.795
1: USD684.38477
 RFQ
0

Perfect Parts Corporation

Part # Manufacturer Description Price BuyNow  Qty.
MKP-105K0275AB1221
 MFG UPON REQUEST RFQ
36288
HAB120-V/SP5
 MFG UPON REQUEST RFQ
121
25HK-AB-120A250-D56-FR
 MFG UPON REQUEST RFQ
4
SW-520DS-AB12G
 MFG UPON REQUEST RFQ
224
AB12-M20
 MFG UPON REQUEST RFQ
45

South Electronics

Part # Manufacturer Description Price BuyNow  Qty.
SKIIP34NAB12T4V1
 SEMIKRON SKIIP34NAB12T4V1 RFQ
0
MVAB120-48
 Murata Manufacturing Co Ltd MVAB120-48 RFQ
0
SKIIP35NAB12T4V1
 SEMIKRON SKIIP35NAB12T4V1 RFQ
0
SKIIP23NAB126V1
 SEMIKRON SKIIP23NAB126V1 RFQ
0
SKIIP36NAB126V1
 SEMIKRON SKIIP36NAB126V1 RFQ
0

Symmetry Electronics

Part # Manufacturer Description Price BuyNow  Qty.
NORA-B121-00B
 u-blox AG Bluetooth Low Energy Module, stand-alone, antenna pin, open CPU 10.4x14.3 mm, 500 pcs/reel 1: USD16.1
10: USD14.65
50: USD13.47
100: USD12.53
 BuyNow
0
EVK-NORA-B120
 u-blox AG EVK for NORA-B120, open CPU, Stand-alone Bluetooth Low Energy, u.fl antenna, USB 1: USD109
 BuyNow
1
NORA-B120-00B
 u-blox AG Bluetooth Low Energy Module, stand-alone, U.FL connector, open CPU, 10.4x14.3 mm, 500 pcs/reel 1: USD17.18
10: USD15.63
50: USD14.38
100: USD13.38
 BuyNow
0
NORA-B126-00B
 u-blox AG Bluetooth Low Energy Module, stand-alone, pcb antenna, open CPU 10.4x14.3 mm, 500 pcs/reel 1: USD16.78
10: USD15.27
50: USD14.05
100: USD13.07
 BuyNow
1
MINI-NORA-B126
 u-blox AG Mini EVK for NORA-B126 open CPU, Stand-alone Bluetooth Low Energy, PCB antenna, USB 1: USD79
 BuyNow
1

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