Document 267 SPICE Model – LPS4012 This lumped-element (SPICE) model data simulates the frequency-dependent behavior of Coilcraft power inductors within the frequency range shown in the accompanying table for each individual inductor. The data represents de-embedded measurements, as described below. Effects due to different customer circuit board traces, board materials, ground planes or interactions with other components are not included and can have a significant effect when comparing the simulation to measurements of the inductors using other production verification instruments and fixtures. The value of the frequency-dependent variable resistor RVAR1 is calculated from: RVAR1 = k1 * • k1 is shown for each value in the accompanying table. • f is the frequency in Hz • RVAR1 is the resistance in Ohms The value of the frequency-dependent variable resistor RVAR2 is calculated from: RVAR2 = k2 * Lumped Element Modeling Method • k2 is shown for each value in the accompanying table. Measurements were made using a 50 Ohm impedance analyzer. Fixture compensation was performed to remove fixture effects. No DC bias current was applied in any of the measurements. The lumped element values were determined by optimizing the simulation model to an average of the measurements. This method results in a model that represents as closely as possible the typical frequency-dependent behavior of the component within the model frequency range. • f is the frequency in Hz The equivalent lumped element model schematic is shown below. Each model should be analyzed only at the input and output ports. Conclusions based on individual lumped element values may be erroneous. • k3, k4, and k5 are shown in the accompanying table. • RVAR2 is the resistance in Ohms Note: The log function in the following equation is the natural logarithm, base e, not base 10. The value of the frequency-dependent inductance LVAR is calculated from: LVAR = k3 − k4 * LOG (k5 * f) • f is the frequency in Hz • LVAR is the inductance in µH • LOG is the natural LOG (base e) Disclaimer RVAR2 VAR C R2 RVAR1 VAR R1 LVAR Coilcraft makes every attempt to provide accurate measurement data and software, representative of our components, in a usable format. Coilcraft, however, disclaims all warrants relating to the use of its data and software, whether expressed or implied, including without limitation any implied warranties of merchantability or fitness for a particular purpose. Coilcraft cannot and will not be liable for any special, incidental, consequential, indirect or similar damages occurring with the use of the data and/or software. Specifications subject to change without notice. © Coilcraft, Inc. 2007 Document 267-1 Revised 08/03/07 Document 267 SPICE Model for Coilcraft LPS4012 Power Inductors Part number LPS4012-331 LPS4012-681 LPS4012-102 LPS4012-152 LPS4012-222 LPS4012-332 LPS4012-472 LPS4012-562 LPS4012-682 LPS4012-103 LPS4012-153 LPS4012-223 LPS4012-333 LPS4012-473 LPS4012-683 LPS4012-104 LPS4012-124 LPS4012-154 LPS4012-184 LPS4012-224 LPS4012-334 LPS4012-474 LPS4012-564 LPS4012-684 LPS4012-824 LPS4012-105 LPS4012-155 LPS4012-185 LPS4012-225 LPS4012-335 Frequency limit of model (MHz) Lower Upper 0.1 100 0.1 200 0.1 100 0.1 100 0.1 100 0.1 100 0.1 100 0.1 100 0.1 80 0.1 60 0.1 40 0.1 40 0.1 40 0.1 40 0.1 30 0.1 20 0.1 20 0.1 10 0.1 10 0.1 8 0.1 7 0.1 7 0.1 5 0.1 5 0.1 5 0.1 5 0.1 3 0.1 2 0.1 2 0.1 1 LVAR Coefficients ⏲) R1 (⏲ 220 550 155 160 110 165 165 240 105 400 300 200 16 55 170 1000 150 3300 170 1080 1030 650 1000 280 280 275 1000 2000 5300 2100 ⏲) R2 (⏲ 0.023 0.055 0.060 0.070 0.100 0.100 0.175 0.260 0.340 0.350 0.550 0.600 0.825 1.40 1.70 2.40 3.30 3.50 5.00 5.20 7.20 10.0 12.5 13.5 20.0 21.5 35.0 36.0 40.0 76.0 C (pF) 1.70 0.790 2.06 2.36 2.36 2.35 2.41 2.80 3.36 2.14 3.25 3.27 1.49 1.83 1.32 3.12 1.93 8.60 1.88 5.51 5.34 3.17 3.81 2.73 3.67 3.03 2.95 3.30 7.72 6.93 k1 6.00E-05 2.00E-06 6.00E-05 8.00E-05 9.00E-05 1.40E-04 7.00E-05 5.00E-05 5.00E-05 1.00E-05 1.00E-06 3.50E-04 2.00E-04 1.00E-06 2.00E-05 1.00E-06 4.00E-04 1.00E-06 1.00E-06 1.00E-06 1.00E-06 2.00E-03 1.00E-06 1.00E-04 1.00E-04 1.00E-06 1.00E-06 1.00E-06 1.00E-06 1.00E-06 k2 0.128 0.191 0.210 0.290 0.425 0.350 0.598 0.695 1.10 0.950 2.08 3.40 5.57 11.6 16.0 18.0 30.0 9.05 44.0 20.0 30.0 82.0 60.0 160 160 204 250 173 100 310 k3 0.33 0.68 1.0 1.5 2.2 3.3 4.7 5.6 6.8 10 15 22 33 47 68 100 120 150 180 220 330 470 560 680 820 1000 1500 1800 2200 3300 Specifications subject to change without notice. © Coilcraft, Inc. 2006 k4 0.007 0.012 0.024 0.034 0.034 0.085 0.085 0.111 0.120 0.158 0.245 0.410 0.452 0.452 0.620 0.460 1.20 0.800 1.23 1.80 3.58 4.00 5.80 9.20 8.50 9.00 10.4 16.0 9.30 44 k5 9.70E-06 9.70E-06 9.70E-06 9.70E-06 9.60E-06 9.60E-06 9.70E-06 9.80E-06 9.90E-06 9.70E-06 9.90E-06 9.82E-06 9.86E-06 9.96E-06 9.96E-06 1.00E-05 1.00E-05 8.97E-06 1.01E-05 1.00E-05 1.02E-05 1.05E-05 1.05E-05 1.05E-05 1.11E-05 1.13E-05 1.26E-05 1.24E-05 3.06E-05 1.89E-05 Document 267-52 Revised 11/01/06