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Document Number: 34098 For technical questions, contact: [email protected] www.vishay.comRevision: 10-Aug-06 183
Engineering Note ILB, ILBB, IMC, ISC, IFCVishay Dale
Circuit Simulation of Surface Mount Inductorsand Impedance Beads
INTRODUCTIONWith the advent of higher component densities, smallercomponents, and reduced design to market times, many oftodays complex circuits are designed using a computer andcircuit simulation software rather actual physical breadboarding.
Inductors can be one of the most difficult passivecomponents to accurately simulate, due to their inherentparasitic capacitive and resistive elements. These parasiticelements are the result of the resistance and turn-to-turncapacitance of the current conductor, which will affect thecharacteristic impedance of the inductor, particularly athigher frequencies. Figure 1 illustrates the equivalent circuitmodel for a real inductor with parasitic elements.
SIMULATING THE PERFORMANCE OF ANINDUCTORIn many computer based circuit simulators, if a singleelement inductor is placed in the circuit, it will be representedas an ideal inductor. This may be acceptable if the simulationis at a frequency well below the series resonant frequency(SRF) of the inductor, as the impedance curve for the ideal
and the real inductors are identical over frequency until apoint that is about 20 % of the inductors SRF. At this point,the impedance curves diverge due to the effects of theparasitic elements.However, the accuracy of the ideal inductor model will beginto increase beyond 20 % of the inductors SRF.
Figure 2 is a graph of the impedance versus frequencycharacteristics of a real and ideal inductor.
Most inductors can be represented with an acceptabledegree of accuracy by one of the circuits shown in Figure 1.Circuit A typically represents an inductor that uses amagnetic core material such as ferrite or powdered iron.Circuit B will accurately represent most nonmagnetic coreinductors commonly referred to as air cores. If theequivalent circuit values of the parasitic capacitance andresistance are known along with the effective inductance, theinductor model can be inserted in the circuit simulator andprovide an accurate representation of the inductors trueperformance in the A circuit.
Vishay Dale has generated the equivalent circuit values formany of its surface mount product lines. A table illustratingthe equivalent circuit values for each of the current VishayDale product lines follows this discussion.
LIMITATIONS OF INDUCTOR MODELSMost inductors are used well below their series resonantfrequency (SRF) and these basic, three element inductormodels will be very accurate under these simulationconditions. The SRF of the inductor occurs when theinductivereactance (X L) is equal to the capacitive reactance(XC) of the conductor. The impedance of the inductor is at its
maximum and would be infinite if there were no core loss orif the resistance of the conductor were zero. Above the SRF,the X C exceeds X L and the inductor behaves like a capacitor.As the frequency increases above the SRF point, theinductor will go through several more resonant phases as aresult of secondary parasitic elements which require a morecomplex equivalent circuit. For this reason, the typical usefulrange for the three element inductor models is the SRF of theinductor plus about 25 %.
Figure 1. Equivalent Circuit for a Real Inductor
C R L CR
Circuit A Circuit B
L
Figure 2. Impedance/Frequency Curves of Real and Ideal 10 H Inductor
I m p e d a n c e
100 000
10 000
1000
1001 10 100
Frequency (MHz)
Ideal
SRF
Approx. 20 % SRF Real
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www.vishay.com For technical questions, contact: [email protected] Document Number: 34098184 Revision: 10-Aug-06
Engineering Note ILB, ILBB, IMC, ISC, IFCVishay Dale Circuit Simulation of Surface Mount Inductors and Impedance Beads
IMC-0402EQUIVALENT CIRCUIT DATA
NOMINAL INDUCTANCE (nH) CIRCUIT RESISTANCE ( ) CAPACITANCE (pF) INDUCTANCE (nH)1.2
1.51.82.22.73.33.94.75.66.88.2
10.012.018.0
33.039.047.056.0
B
BBBBBBBBBBBBB
BBBB
75.790
50.56869.25472.76279.35787.17486.272
123.660143.730171.930230.000213.970312.950554.440
792.6501.0591.8321.987
2.12680
1.487301.320500.916370.820010.669230.571380.476810.382000.319750.283770.237230.191870.13639
0.083670.076280.060900.05267
0.896
1.2541.4692.1152.3562.9293.4524.1505.2556.3767.3298.904
11.17516.818
30.76935.93345.30054.122
IMC-0603EQUIVALENT CIRCUIT DATA
NOMINAL INDUCTANCE (nH) CIRCUIT RESISTANCE (m ) CAPACITANCE (pF) INDUCTANCE (nH)1.51.8
2.22.73.33.94.75.66.88.2
10.012.015.018.022.0
27.033.039.047.056.068.082.0
100.0
BB
BBBBBBBBBBBBB
BBBBBBBB
0.03190.0485
0.05570.05540.03740.05410.08340.11970.12090.12560.18060.21730.28120.31400.3322
0.40090.52730.58090.72270.91171.09481.43471.5531
0.00000.0000
0.00000.01250.01180.02320.03620.04390.04860.05150.05550.06200.06300.06470.0698
0.06830.07400.06940.07230.06670.07170.06840.0709
1.341.65
1.982.523.153.684.405.466.547.829.64
11.5514.6417.4521.26
25.9831.9537.2945.3053.7063.1976.6293.26
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Engineering Note ILB, ILBB, IMC, ISC, IFCCircuit Simulation of Surface Mount Inductors and Impedance Beads Vishay Dale
Document Number: 34098 For technical questions, contact: [email protected] www.vishay.comRevision: 10-Aug-06 185
IMC-0805-01EQUIVALENT CIRCUIT DATA
NOMINAL INDUCTANCE (nH) CIRCUIT RESISTANCE () CAPACITANCE (pF) INDUCTANCE (
3.94.75.66.88.21012151822273339
47566882
100120150180220270330390470560680820
1000
BBBBBBBBBBBBB
BBBBBBBBBAAAAAAAA
0.08840.09580.10530.12970.14720.14680.17490.18610.21940.24200.26380.28140.3282
0.34320.40230.43560.48800.59680.72351.16471.24141.398317.7k16.4k12.6k10.5k10.9k12.1k13.5k12.5k
0.00750.00610.03250.03200.03980.14450.05980.08360.06980.08370.09210.10460.0924
0.09750.09270.09360.15030.09680.19940.12950.16980.17190.48120.56370.87141.57011.24881.36621.19621.4749
4.34.65.55.28.1
11.212.616.418.822.427.433.439.0
45.355.767.979.894.497.7
132.9150.2194.2230.6274.2331.9425.7491.0592.1737.5859.1
IMC-1210EQUIVALENT CIRCUIT DATA
NOMINAL INDUCTANCE (H) CIRCUIT RESISTANCE ( ) CAPACITANCE (pF) INDUCTANCE (H)0.0100.012
0.0150.0180.0220.0270.0330.0390.0470.0560.0680.082
BB
BBBBBBBBBB
89.79 m107.98 m
119.35 m138.90 m135.92 m172.43 m218.71 m209.12 m215.71 m308.05 m224.86 m359.50 m
0.09840.0965
0.12850.13900.18270.22580.18760.24400.28820.32510.33690.2936
6.83 n9.09 n
11.09 n14.62 n18.48 n22.37 n30.59 n35.42 n37.57 n46.38 n54.42 n63.2 n
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www.vishay.com For technical questions, contact: [email protected] Document Number: 34098186 Revision: 10-Aug-06
Engineering Note ILB, ILBB, IMC, ISC, IFCVishay Dale Circuit Simulation of Surface Mount Inductors and Impedance Beads
IMC-1210EQUIVALENT CIRCUIT DATA
NOMINAL INDUCTANCE (H) CIRCUIT RESISTANCE ( ) CAPACITANCE (pF) INDUCTANCE (H)0.1000.1200.1500.1800.2200.2700.3300.3900.4700.5600.6800.820
1.0
1.21.51.82.22.73.33.94.75.66.85.2
10.0
BBBBBAAAAAAAA
AAAAAAAAAAAA
353.36 m363.80 m229.68 m312.54 m269.10 m
5.98 k4.11 k4.59 k7.48 k9.09 k
10.66 k11.24 k14.21 k
13.73 k15.51 k18.89 k20.98 k25.90 k24.65 k27.80 k26.43 k35.52 k38.26 k37.93 k46.21 k
0.37090.50190.60200.63530.78140.64740.68690.70500.79290.95630.87640.70701.2100
0.99001.58001.43001.12000.98001.52001.69001.41001.34001.57001.35001.5200
80.52 n103.4 n
139.55 n159.31 n205.23 n253.82 n309.87 n375.18 n439.72 n523.33 n646.61 n751.05 n
0.99
1.15 1.46 1.72 2.11 2.66 3.16 3.67 4.5
5.28 6.32 7.52 9.43
IMC-1210-100EQUIVALENT CIRCUIT DATA
NOMINAL INDUCTANCE (H) CIRCUIT RESISTANCE ( ) CAPACITANCE (pF) INDUCTANCE (H)0.0100.0120.0150.0180.0220.0270.0330.0390.0470.0560.0680.0820.1000.100.120.150.180.220.27
BBBBBBBBBBBBBAAAAAA
64.188.7
130.7143.7200.2156.7273.4197.6212.7277.6314.1325.6412.811.4613.6913.6918.4528.1445.62
0.13570.14630.17460.19260.18920.22270.15970.29760.26300.32890.29580.24830.34690.53510.46970.47570.52310.45440.4926
9.9 n11.8 n14.6 n17.4 n21.3 n29.2 n38.4 n34.0 n44.2 n48.1 n61.8 n84.9 n84.9 n
0.0935 0.1177 0.1424 0.1623 0.2012 0.2408
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Engineering Note ILB, ILBB, IMC, ISC, IFCCircuit Simulation of Surface Mount Inductors and Impedance Beads Vishay Dale
Document Number: 34098 For technical questions, contact: [email protected] www.vishay.comRevision: 10-Aug-06 187
IMC-1812EQUIVALENT CIRCUIT DATA
NOMINAL INDUCTANCE (H) CIRCUIT RESISTANCE (k ) CAPACITANCE (pF) INDUCTANCE (H)0.330.390.470.560.680.821.001.201.501.802.20
AAAAAAAAAAA
28.0029.2429.4741.3632.5132.7612.4012.3314.9218.8923.51
0.53650.51270.54270.44980.47920.46741.69201.67401.69301.44101.6220
0.29570.34290.45080.51040.60670.74120.95131.16401.40201.73702.1300
ILBB-0603EQUIVALENT CIRCUIT DATA
NOMINAL IMPEDANCE CIRCUIT RESISTANCE ( ) CAPACITANCE (pF) INDUCTANCE (H)40606880
120220300450600750
1000
AAAAAAAAAAA
6580
1001181573154205456908101.1k
0.9000.9000.9001.0001.2000.9000.8000.8000.8000.9000.658
0.09520.15330.17790.19930.33560.60370.79541.11861.45312.01822.4001
ILBB-0805EQUIVALENT CIRCUIT DATA
NOMINAL IMPEDANCE CIRCUIT RESISTANCE ( ) CAPACITANCE (pF) INDUCTANCE (H)11326090
120150300400600
100015002000
AAAAAAAAAAAA
185082
125165208350510636975
16002500
0.900.850.701.001.001.001.000.901.201.001.000.90
0.02730.10530.21140.28360.29690.44370.86211.32741.34542.75734.74127.4365
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www.vishay.com For technical questions, contact: [email protected] Document Number: 34098188 Revision: 10-Aug-06
Engineering Note ILB, ILBB, IMC, ISC, IFCVishay Dale Circuit Simulation of Surface Mount Inductors and Impedance Beads
ILB-1206EQUIVALENT CIRCUIT DATA
NOMINAL IMPEDANCE CIRCUIT RESISTANCE ( ) CAPACITANCE (pF) INDUCTANCE (H)
1926503170
120150300500600
AAAAAAAAAA
2737753795
150180330485610
0.90.80.41.00.21.50.91.82.12.0
63.51 n75.00 n
109.60 n73.34 n
174.12 n352.33 n492.76 n
1.05 1.69 2.49
ISC-1210 0.10 H - 1 HEQUIVALENT CIRCUIT DATA
NOMINAL INDUCTANCE CIRCUIT RESISTANCE ( ) CAPACITANCE (pF) INDUCTANCE (H)0.0100.0120.0150.0180.0220.0270.0330.0390.047
0.0560.0680.0820.1000.1200.1500.1800.2200.2700.3300.3900.4700.560
0.6800.8201.000
AAAAAAAAA
AAAAAAAAAAAAA
AAA
1.041.211.802.502.353.003.073.634.39
5.474.74
10.127.502.393.373.203.994.274.753.007.496.19
7.796.85
10.40
0.10030.10510.21780.24870.24340.22790.19830.44370.2873
0.42330.32590.35060.41300.55360.53820.68480.65730.62290.63770.91181.10160.9598
0.73701.01871.3400
0.007410.007820.012840.015640.018890.024660.031880.034270.03947
0.044780.060280.076960.082880.120070.147000.164200.221310.256780.316730.390580.440610.50199
0.625920.804020.98740
IFC-0805/0603
Contact Factory for Current Data
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Engineering Note ILB, ILBB, IMC, ISC, IFCCircuit Simulation of Surface Mount Inductors and Impedance Beads Vishay Dale
Document Number: 34098 For technical questions, contact: [email protected] www.vishay.comRevision: 10-Aug-06 189
FREQUENTLY ASKED QUESTIONSWhy is the equivalent circuit inductance less than thenominal value of the inductor? For instance, the equivalentcircuit inductance listed for an IMC-1210 0.82 H inductor isonly 0.74 H.
The effective inductance of a component can be adverselyaffected by the parasitic elements. Capacitance cancels outsome of the inductive reactance and reduces the effectiveinductance of the device. Throughout a family of inductors,wire size, core size, core material and number of turns will bevaried to achieve the proper inductance. The most efficientinductors (with smallest parasitic element) have the lowestnumber of turns, the largest wire and the optimum coredimensions.
Since it is not economically feasible to have ideal core andwire sizes for each inductance value in a series, some valueswill have more significant parasitic elements that affect theperformance of the inductor. For example, one core and wire
size may be used for as many as 5 adjacent values in aninductor series. The number of turns is varied to achieve thehigher inductance values. An inductor with more turns willhave more inter-winding capacitance so the highest inductorwith the same core and wire size will typically be moreaffected by the winding capacitance than the lower values.
I would like to perform a Monte Carlo analysis that willexamine my circuit over the tolerance range of all mycomponents. How much can I expect the parasitic elementsto change due to manufacturing tolerances?
This is a tough question to answer.
Vishay Dale and other inductor manufacturers sell inductors
based on four major specifications:Inductance a percentage tolerance
Minimum Q at a specified frequency
Maximum DCR of the winding or conductor
Minimum SRF
In order to achieve these specifications, core size and material,wire size, and number of turns can be varied. Due tomanufacturing tolerances on all of the inductor components,wire size and/or number of turns may vary on the same valueacross production lots. Varying the wire size and/or turns willaffect the values of the parasitic components, however, thespecified L, Q, DCR, and SRF will always be in tolerance.Vishay Dale designs and manufactures inductors withrespect for the behavior of parasitic elements. Typically, thebasic tolerance of the purchased inductor (i.e., 10 H 10 %)can be applied to all the equivalent circuit elements in theinductor model with good success.
I use S parameters in my circuit simulator. Are theyavailable for Vishay Dale inductors?
Because of the complexity of distributing S parameters forall the inductor series, we have opted not to provide S
parameters for these products. As an alternative, most circuitsimulation programs will generate S parameters for asimulated circuit. The equivalent circuit elements for theVishay Dale inductors can be entered as a separate circuitinto the simulator which can in turn generate a table or file ofS parameters for the inductor model.
I am interested in simulating the performance of a VishayDale inductor that is not on the charts contained within thisapplication note. How can I get equivalent circuit informationfor this inductor?
Vishay Dale will be adding equivalent circuit information forother products as demand requires. If there is a specificinductor you would like information on that has not been
published, we can normally supply this information withinone week of the request.
My circuit simulator already contains a library of inductivecomponents models from Vishay Dale and other vendor products. How do I know if these are accurate models?
Some component libraries contain models that have beenempirically generated from catalog specifications, and sothese models may not accurately depict productperformance. To have full confidence in your library ofinductive component models, we strongly suggest that youcontact the vendor of your circuit s imulator to determine thesource of the supplied inductor model data. All data includedhere in our Application Note has been generated by testingnormally processed product and represents the typicalperformance you can expect from the Vishay Dale product.