AN-1368 APPLICATION NOTE One Technology Way • P.O. Box 9106 • Norwood, MA 02062-9106, U.S.A. • Tel: 781.329.4700 • Fax: 781.461.3113 • www.analog.com Ferrite Bead Demystified By Jefferson Eco and Aldrick Limjoco INTRODUCTION High resolution, high performance converters and radio frequency (RF) systems require a low noise design of the power supply to achieve optimum performance. Good filtering of power supply noise and high frequency crosstalk reduction between analog and digital domains is required, especially on mixed-signal converters and transceivers. Figure 1 shows an example of a filtering scheme often used in mixed-signal ICs to separate analog and digital supplies. The scheme is suitable for any power distribution network; however, understanding its effectiveness and limitations helps users to avoid characteristics that may, for example, be detrimental in high performance converter applications. Power supply noise is more evident with switching regulators, which generate undesired output artifacts that can be harmful to any noise sensitive system. However, due to their high power conversion efficiency, switching regulators are often found in portable devices where prolonged battery life is needed and in systems where thermal limitations exist. This application note discusses the important considerations that system designers need to be aware of when using ferrite beads in power supply systems, including response characteristics of the ferrite bead, a simplified ferrite bead model and simulation, dc current considerations, LC resonance effects, and damping methods. An understanding of these elements can make the system design approach fast and effective. The Analog Devices, Inc., products used to demonstrate the effects of ferrite beads as output filters are the 1.25 A, 1.2 MHz synchronous step-down switching regulator (ADP2120) and the 2 A/1.2 A dc-to-dc switching regulator with independent positive and negative outputs (ADP5071). An effective method for filtering high frequency power supply noise and cleanly sharing similar supply rails is the use of ferrite beads. A ferrite bead is a passive device that filters high frequency noise energy over a broad frequency range. It becomes resistive over its intended frequency range and dissipates the noise energy in the form of heat. The ferrite bead is connected in series with the power supply rail and is often combined with capacitors to ground on either side of the bead. This forms a low-pass filter network, further reducing the high frequency power supply noise. Rev. 0 | Page 1 of 11 DIGITAL SUPPLY ANALOG SUPPLY POWER SUPPLY FERRITE BEAD 13359-001 Similar digital and analog voltage rails of mixed-signal ICs are often powered from different power domains. This approach helps to prevent fast digital switching noise coupling onto the sensitive analog supply rail and degrading the converter performance, but it increases system level complexity and cost. With proper high frequency isolation of supply domains, power supplies can be shared between analog and digital domains, simplifying the design and reducing the cost. Figure 1. Sample Filter Scheme for a Mixed-Signal IC AN-1368 Application Note TABLE OF CONTENTS Introduction ...................................................................................... 1 LC Resonance Effect .........................................................................6 Revision History ............................................................................... 2 Damping Methods.............................................................................9 Ferrite Bead Response Characteristics .......................................... 3 Conclusion....................................................................................... 11 Ferrite Bead Simplified Model and Simulation ............................ 3 References ........................................................................................ 11 DC Bias Current Considerations .................................................... 4 REVISION HISTORY 8/15—Revision 0: Initial Version Rev. 0 | Page 2 of 11 Application Note AN-1368 Ferrite beads are categorized by three response regions: inductive, resistive, and capacitive. These regions can be determined by looking at a ZRX plot, where Z is the impedance, R is the resistance, and X is the reactance of the bead. To reduce high frequency noise, the bead must be in the resistive region; this is especially desirable for electromagnetic interference (EMI) filtering applications. The component acts like a resistor, which impedes the high frequency noise and dissipates it as heat. The resistive region occurs after the bead crossover frequency (X = R) and up to the point (shown in Figure 2) where the bead becomes capacitive. This capacitive point occurs at the frequency where the absolute value of capacitive reactance is equivalent to R. 1200 RESISTIVE INDUCTIVE CAPACITIVE 1000 The Tyco Electronics BMB2A1000LN2 multilayer ferrite bead is used as an example. Figure 4 shows the measured ZRX response of the BMB2A1000LN2 for a zero dc bias current using an impedance analyzer. The circuit simulator suite used was the ADIsimPE, a simulation tool optimized for the design and development of analog and mixed-signal circuits. ADIsimPE is powered by SIMetrix/SIMPLIS. 1200 Z = R; RAC 1000 IMPEDANCE (Ω) FERRITE BEAD RESPONSE CHARACTERISTICS 800 Z 600 Z ≈ XL; LBEAD R Z ≈ |XC|; CPAR 400 CROSSOVER FREQUENCY Z 200 600 0 R 1 400 10 X 100 FREQUENCY (MHz) 13359-004 IMPEDANCE (Ω) X 800 1000 Figure 4. BMB2A1000LN2 ZRX Plot 200 1 10 100 1000 FREQUENCY (MHz) For the region on the measured ZRX plot where the bead appears most inductive (Z ≈ XL; LBEAD), the bead inductance is calculated by the following equation: 13359-002 0 Figure 2. Tyco Electronics BMB2A1000LN2 ZRX Plot At relatively low frequencies below crossover, the bead response is inductive. At high frequencies, the bead response is capacitive. In this case, the falling slope of the impedance vs. frequency plot is defined by the parasitic capacitance associated with the component. FERRITE BEAD SIMPLIFIED MODEL AND SIMULATION LBEAD = (1) where: f is the frequency point anywhere in the region the bead appears inductive. In this example, f = 30.7 MHz. XL is the reactance at 30.7 MHz, which is 233 Ω. Equation 1 yields an inductance value (LBEAD) of 1.208 μH. A ferrite bead can be modeled as a simplified circuit consisting of resistors, an inductor, and a capacitor, as shown in Figure 3. RDC corresponds to the dc resistance of the bead. CPAR, LBEAD, and RAC are the parasitic capacitance, the bead inductance, and the ac resistance (ac core losses) associated with the bead. For the region where the bead appears most capacitive (Z ≈ |XC|; CPAR), the parasitic capacitance is calculated by the following equation: CPAR = CPAR 1 2×π × f × | XC | where: f is the frequency point anywhere in the region the bead appears capacitive. In this example, f = 803 MHz. |XC| is the reactance at 803 MHz, which is 118.1 Ω. LBEAD 13359-003 RDC RAC XL 2×π × f Figure 3. Simplified Circuit Model Equation 2 yields a parasitic capacitance value (CPAR) of 1.678 pF. In some cases, the simplified circuit model shown in Figure 3 can be used to approximate the ferrite bead impedance characteristic up to the sub-GHz range. Rev. 0 | Page 3 of 11 (2) AN-1368 Application Note The dc resistance (RDC), which is 300 mΩ, is acquired from the manufacturer data sheet. The ac resistance (RAC) is the peak impedance where the bead appears to be purely resistive. Calculate RAC by subtracting RDC from Z. Because RDC is very small compared to the peak impedance, it can be neglected. Therefore, in this case RAC is 1.082 kΩ. The ADIsimPE circuit simulator tool was used to generate the impedance vs. the frequency response. Figure 5 shows both the actual measurement and simulated measurement for the impedance vs. the frequency response at zero dc bias current and Figure 6 shows the circuit simulation model with the calculated values. In this example, the impedance curve from the circuit simulation model closely matches the measured one. 1200 IMPEDANCE (Ω) 1000 800 DC BIAS CURRENT CONSIDERATIONS Selecting the right ferrite bead for power applications requires careful consideration not only of the filter bandwidth, but also of the impedance characteristics of the bead with respect to dc bias current. In most cases, manufacturers only specify the impedance of the bead at 100 MHz and publish data sheets with frequency response curves at zero dc bias current, similar to those shown in Figure 2. However, when using ferrite beads for power supply filtering, the load current going through the bead is never zero, and as dc bias current increases from zero, all of these parameters change significantly. As the dc bias current increases, the core material begins to saturate, which significantly reduces the inductance of the ferrite bead. The degree of inductance saturation differs depending on the material used for the core of the component. Figure 7 shows the typical dc bias dependency of the inductance for two ferrite beads. With 50% of the rated currents, the inductance decreases by up to 90%. 450 600 UP TO 90% DECREASE IN BEAD INDUCTANCE AT 50% RATED CURRENT 400 400 350 INDUCTANCE (nH) SIMULATION 1 10 100 1000 FREQUENCY (MHz) 13359-005 ACTUAL MEASUREMENT 0 300 250 200 MPZ1608S101A (100Ω, 3A, 0603) 150 Figure 5. Actual Measurement vs. Simulation IMPEDANCE 50 C1 1.208µF R2 L1 0 0 1.082kΩ R1 1 2 3 4 DC BIAS CURRENT (A) 5 Figure 7. Effect of DC Bias on Bead Inductance 13359-205 AC 1A I1 300mΩ 742 792 510 (70Ω, 6A, 1812) 100 1.678pF 13359-006 200 Figure 6. Circuit Simulation Model The ferrite bead model can be useful in noise filtering circuit design and analysis. For example, approximating the inductance of the bead can be helpful in determining the resonant frequency cut-off when combined with a decoupling capacitor in a low-pass filter network. However, the circuit model specified in this application note is an approximation with a zero dc bias current. This model may change with respect to dc bias current, and in other cases, a more complex model is required. For effective power supply noise filtering, use ferrite beads at about 20% of their rated dc current. As shown in these two examples, the inductance at 20% of the rated current drops to about 30% for the 6 A bead and to about 15% for the 3 A bead. The current rating of ferrite beads is an indication of the maximum current the device can take for a specified temperature rise and not a real operating point for filtering purposes. Rev. 0 | Page 4 of 11 Application Note AN-1368 In addition, the effect of dc bias current can be observed in the reduction of impedance values over frequency, which in turn reduces the effectiveness of the ferrite bead and its ability to remove EMI. Figure 8 and Figure 9 show how the impedance of the ferrite bead varies with dc bias current. 160 System designers must be fully aware of the effect of dc bias current on bead inductance and effective impedance, as this can be critical in applications that demand high supply current. Figure 10 shows the measured attenuation for a 100 Ω, 3 A rated ferrite bead plus a 1 μF capacitor in various dc bias currents, and Figure 11 shows the test circuit model. 10 140 0mA 100mA 250mA 500mA 750mA 1000mA 1500mA 2000mA 3000mA 100 80 INSERTION LOSS (dB) IMPEDANCE (Ω) 120 IBIAS = 0mA IBIAS = 100mA IBIAS = 250mA 0 60 40 –10 –20 –30 –40 –50 20 100 1000 FREQUENCY (MHz) –70 0.01 Figure 8. TDK MPZ1608S101A Impedance Curves with Respect to DC Bias Current 120 IMPEDANCE (Ω) 80 60 1 10 100 FREQUENCY (MHz) Figure 10. Measured Response of the Bead and Capacitor Low-Pass Filter vs. DC Bias Current FERRITE BEAD: TDK MPZ1608S101A (100Ω, 3A, 0603) 0mA 100mA 250mA 500mA 1000mA 1500mA 2000mA 3000mA 4000mA 5000mA 100 0.1 13359-009 10 CAPACITOR: MURATA GRM188R61A105KA61 (1µF, X5R, 0603) IBIAS 13359-209 1 13359-007 –60 0 Figure 11. Test Circuit Model 40 For a 3 A bead with 250 mA of bias current, the resonance cutoff moves to the right mainly due to the inductance drop described in Figure 7. 0 1 10 100 FREQUENCY (MHz) 1000 13359-008 20 Figure 9. Wurth Elektronik 742 791 510 Impedance Curves with Respect to DC Bias Current As shown in Figure 8 and Figure 9, the effective impedance at 100 MHz dramatically drops from 100 Ω to 10 Ω for the TDK MPZ1608S101A (100 Ω, 3 A, 0603) and from 70 Ω to 15 Ω for the Wurth Elektronik 742 792 510 (70 Ω, 6 A, 1812) by applying just 50% of the rated current. In addition, the effective attenuation of the network reduces by as much as 15 dB at 1 MHz, where most modern switching regulators operate. This reduction can cause problems if the system engineer relies solely on the data sheet, which shows the impedance at zero dc bias current only. Therefore, to validate the effectiveness of the ferrite bead filter and for accurate results, model the inductance over a range of dc bias current and identify its impedance characteristics under the actual operating conditions. Rev. 0 | Page 5 of 11 AN-1368 Application Note C1 0.1µF CIN 22µF X5R 6.3V R1 10Ω ADP2120ACPZ-2.5-R7 EN 10 1 VIN 2 PVIN SYNC/MODE 9 MPZ1608S101A VOUT 2.5V COUT1 22µF X5R 6.3V C 1µF COUT2 10µF X5R 6.3V 3 SW L 1.5µH PGOOD 8 4 PGND RL 10Ω 5 GND R2 10kΩ TRK 7 FB 6 13359-010 VIN 5V Figure 12. ADP2120 Application Circuit with Bead and Capacitor Low -Pass Filter Implementation for DC Bias Effect 70 60 ADP2120 NO LOAD OUTPUT SPECTRUM ADP2120 + UNDAMPED BEAD-C, ILOAD = 250mA ADP2120 + UNDAMPED BEAD-C, ILOAD = NO LOAD AMPLITUDE (dBµV) 50 40 30 20 10 –10 0.01 0.1 1 10 FREQUENCY (MHz) 100 Resonance peaking is possible when implementing a ferrite bead together with a decoupling capacitor. This commonly overlooked effect can be detrimental because it may amplify ripple and noise in a given system instead of attenuating it. In many cases, this peaking occurs around popular switching frequencies of dc-to-dc converters. Peaking occurs when the resonant frequency of a low-pass filter network, formed by the ferrite bead inductance and the high Q decoupling capacitance, is below the crossover frequency of the bead. The resulting filter is underdamped. Figure 14 shows the measured impedance vs. frequency plot of the TDK MPZ1608S101A. The resistive component, which is depended upon to dissipate unwanted energy, does not become significant until about 20 MHz to 30 MHz. Below this frequency, the ferrite bead still has a very high Q and acts like an ideal inductor. LC resonant frequencies for typical bead filters are generally in the 0.1 MHz to 10 MHz range. For typical switching frequencies in the 300 kHz to 5 MHz range, additional damping is required to reduce the filter Q. 160 13359-011 0 LC RESONANCE EFFECT 140 Z Figure 13. Measured Response of the Bead and Capacitor Low-Pass Filter vs. DC Bias Current IMPEDANCE (Ω) As the load current increases in Figure 13, the filter cutoff frequency moves to the right from approximately 180 kHz with no load to approximately 370 kHz with 250 mA (red trace vs. green trace). The fundamental ripple at around 1.2 MHz attenuates by 30 dB with no load but reduces to about 18 dB with a load of 250 mA. 120 100 CROSSOVER FREQUENCY 80 60 R X INDUCTIVE REGION 40 20 0 1 10 100 FREQUENCY (MHz) 1000 Figure 14. Measured Impedance vs. Frequency Plot for the TDK MPZ1608S101A Rev. 0 | Page 6 of 11 13359-012 Figure 12 shows an application circuit that uses the ADP2120 buck regulator running in forced pulse-width modulation (FPWM) mode with the ferrite bead filter of Figure 11. With the ADP2120 in FPWM mode, the switching noise spectral output does not change significantly with respect to load current. For more details about FPWM mode, see the ADP2120 data sheet. The spectral output is plotted in Figure 13, showing the effects of dc bias on ferrite bead response. Application Note AN-1368 An undamped ferrite bead filter can exhibit peaks from approximately 10 dB to approximately 15 dB depending on the Q of the filter circuit. In Figure 15, peaking occurs at around 2.5 MHz with as much as 10 dB gain. As an example of this effect, Figure 15 shows the S21 frequency response of the bead and capacitor low-pass filter, which displays a peaking effect. The ferrite bead used is a TDK MPZ1608S101A (100 Ω. 3 A, 0603) and the decoupling capacitor used is a Murata GRM188R71H103KA01 low ESR ceramic capacitor (10 nF , X7R, 0603). Load current is in the microampere range. In addition, signal gain can be seen from 1 MHz to 3.5 MHz. This peaking is problematic if it occurs in the frequency band in which the switching regulator operates. This amplifies the unwanted switching artifacts, which can wreak havoc on the performance of sensitive loads such as the phased-lock loop (PLL), voltage-controlled oscillator (VCO), and high resolution analog-to-digital converter (ADC). The result shown in Figure 15 has been taken with a very light load (in the microampere range), but this is a realistic application in sections of circuits that need just a few microamperes to 1 mA of load current or sections that are turned off to save power in some operating modes. This potential peaking creates additional noise in the system that can create unwanted crosstalk. 20 10 0 –20 –30 –40 –50 –60 1k 10k 100k 1M As an example, Figure 17 shows an ADP5071 application circuit with an implemented bead filter and Figure 18 shows the spectral plot at the positive output. The switching frequency is set at 2.4 MHz, the input voltage is set at 9 V, the output voltage is set at 16 V, and the load current is set at 5 mA. 13359-013 –70 100 10M FREQUENCY (Hz) Figure 15. S21 Response for Bead and Capacitor Low-Pass Filter DC BIAS CURRENT (µA) CAPACITOR: MURATA GRM188R7H103KA01 (10nF, X7R, 0603) 13359-213 FERRITE BEAD: TDK MPZ1608S101A (100Ω, 3A, 0603) Figure 16. Bead and Capacitor Low-Pass Filter Test Model ADP5071 RC1 118kΩ CC1 820pF CIN1 10µF RC2 57.6kΩ CC2 2.7nF VREG INBK L1 2.2µH COMP1 EN1 CVREG 1µF VIN +9V SS VREG FB1 PVIN1 PVIN2 PVINSYS PGND EN2 VREF COMP2 SYNC/FREQ SLEW SEQ AGND D1 MBR130T1G MPZ1608S101A +16V SW1 RFT1 68.1kΩ RFB1 3.57kΩ COUT1 10µF C 10nF RL 3.2kΩ CVREF 1µF RFB2 3.09kΩ FB2 COUT2 10µF RFT2 64.9kΩ –16V SW2 D2 MBR130T1G L2 6.8µH 13359-014 GAIN (dB) –10 Figure 17. ADP5071 Application Circuit with Bead and Capacitor Low-Pass Filter Implementation on Positive Output Rev. 0 | Page 7 of 11 AN-1368 Application Note 60 Figure 21 shows a circuit simulation changing from a 1 MΩ load to a 10 Ω load using the same source resistance. Peaking is significantly reduced and damped for lower load resistance. Note that in actual applications (see Figure 13), higher dc load current significantly affects ferrite bead performance. The inductance of the bead drops as dc current increases and affects the resonant frequency cutoff. 40 30 20 ADP5071 OUTPUT SPECTRUM WITH BEAD AND C LOW-PASS FILTER (UNDAMPED) 0 ADP5071 OUTPUT SPECTRUM WITHOUT BEAD AND C LOW-PASS FILTER 40 10Ω LOAD 1MΩ LOAD 1 10 100 FREQUENCY (MHz) Figure 18. ADP5071 Spectral Output at 5 mA Load Resonant peaking occurs at around 2.4 MHz due to the inductance of the bead and the 10 nF ceramic capacitor. Instead of attenuating the fundamental ripple frequency, a gain of 10 dB occurs. Other factors that have an effect on the resonant peaks are the series and load impedances of the ferrite bead filter. Figure 19 shows the circuit simulation result comparing a 10 Ω resistor and a 0.1 Ω series source resistor. Peaking significantly reduces and damps for higher source resistance. However, the load regulation degrades with this approach, making it unrealistic in practice. The dc voltage at the load droops with load current due to the drop from the series resistance. INSERTION LOSS (dB) 0.1 13359-015 20 –10 0.01 –20 –40 –60 –80 –100 1 10 1k 10k 100k 1M 10M 100M Figure 21. Circuit Simulation Comparison of 10 Ω Load vs. 1 MΩ Load 200fF 100mΩ 30mΩ IN 10Ω SOURCE 0.1Ω SOURCE 20 100 FREQUENCY (Hz) 40 INSERTION LOSS (dB) 0 + R3 R5 C2 800nH L1 150Ω AC1 V1 0 R4 –20 OUT C1 10nF L2 2nH R1 10mΩ LOAD R2 Figure 22. Circuit Simulation Model of 10 Ω Load vs. 1 MΩ Load –40 –60 1 10 100 1k 10k 100k FREQUENCY (Hz) 1M 10M 100M 13359-016 –80 –100 Figure 19. Circuit Simulation Comparison of 0.1 Ω Source vs. 10 Ω Source 200fF + R3 30mΩ C2 800nH R5 L1 150Ω AC1 V1 R4 C1 10nF L2 2nH R1 10mΩ OUT R2 1MΩ 13359-216 SOURCE IN 13359-116 10 13359-316 50 AMPLITUDE (dBµV) Load impedance also affects the peaking response. Peaking is worst for light load conditions. PEAKING OCCURS AT ~2.5MHz DUE TO RESONANCE Figure 20. Circuit Simulation Model of 0.1 Ω Source vs. 10 Ω Source Rev. 0 | Page 8 of 11 Application Note AN-1368 FERRITE BEAD: TDK MPZ1608S101A (100Ω, 3A, 0603) DAMPING METHODS This section describes three damping methods that a system engineer can use to reduce the level of resonant peaking significantly (see Figure 23). IN OUT PARALLEL RESISTOR ACROSS FERRITE BEAD 20 CAPACITOR: MURATA GRM188R71H103KA01 (10nF, X7R, 0603) 13359-019 10 Figure 25. Parallel Resistor Across Ferrite Bead C 160 A –20 BEAD ONLY, DC BIAS 0mA R X Z 140 B 120 IMPEDANCE (Ω) –30 –40 –60 UNDAMPED METHOD A: SERIES 10Ω RESISTOR TO DECOUPLING CAPACITOR METHOD B: PARALLEL 10Ω RESISTOR ACROSS FERRITE BEAD METHOD C: DAMPED: C DAMP (1µF) + RDAMP (2Ω) BEAD: TDK MPZ1608S101A (100Ω, 3A, 0603) CAPACITOR: MURATA GRM188R71H103KA01 (10nF, X7R, 0603) –70 0.0001 0.001 0.01 0.1 1 60 40 10 FREQUENCY (MHz) 20 Figure 23. Actual Frequency Response for Various Damping Methods 0 1M Method A consists of adding a series resistor to the decoupling capacitor path (see Figure 24), which dampens the resonance of the system but degrades the bypass effectiveness at high frequencies. 10M 1G 100M FREQUENCY (Hz) Figure 26. MPZ1608S101A Impedance Curve 12 FERRITE BEAD: TDK MPZ1608S101A (100Ω, 3A, 0603) 10 SERIES RESISTOR TO DECOUPLING CAPACITOR IMPEDANCE (Ω) OUT CAPACITOR: MURATA GRM188R71H103KA01 (10nF, X7R, 0603) 13359-018 IN 80 Figure 24. Series Resistor to Decoupling Capacitor 8 BEAD ONLY, DC BIAS 0mA R X Z BEAD WITH 10Ω RESISTOR, DC BIAS 0mA R X Z 6 4 2 Method B consists of adding a small parallel resistor across the ferrite bead (see Figure 25), which also dampens the resonance of the system. However, the attenuation characteristic of the filter is reduced at high frequencies. Figure 26 and Figure 27 show the impedance vs. frequency curve of the MPZ1608S101A with and without a 10 Ω parallel resistor. The green dashed curve is the overall impedance of the bead with a 10 Ω resistor in parallel. The impedance of the bead and resistor combination is significantly reduced and is dominated by the 10 Ω resistor. However, the 3.8 MHz crossover frequency for the bead with the 10 Ω parallel resistor is much lower than the crossover frequency of the bead on its own at 40.3 MHz. The bead appears resistive at a much lower frequency range, lowering the Q for improved damped performance. Rev. 0 | Page 9 of 11 0 1M 10M 100M 1G FREQUENCY (Hz) Figure 27. MPZ1608S101A Impedance Curve, Zoom View 13359-022 –50 BEAD WITH 10Ω RESISTOR, DC BIAS 0mA R X Z 100 13359-021 –10 13359-017 INSERTION LOSS (dB) 0 AN-1368 Application Note Method C consists of adding a large capacitor (CDAMP) with a series damping resistor (RDAMP), which is often optimum (see Figure 28). Figure 29 shows the ADP5071 positive output spectral plot with Method C damping implemented on the application circuit shown in Figure 17. The CDAMP and RDAMP used are a 1 μF ceramic capacitor and a 2 Ω SMD resistor, respectively. The fundamental ripple at 2.4 MHz is reduced by 5 dB as opposed to the 10 dB gain shown in Figure 18. FERRITE BEAD: TDK MPZ1608S101A (100Ω, 3A, 0603) OUT CDAMP CAPACITOR: MURATA GRM188R71H103KA01 (10nF, X7R, 0603) 60 50 Figure 28. Additional RC Decoupling Filter Adding the capacitor and resistor dampens the resonance of the system and does not degrade the bypass effectiveness at high frequencies, as shown in Figure 23. Implementing this method avoids excessive power dissipation on the resistor due to a large dc blocking capacitor. The capacitor must be much larger than the sum of all decoupling capacitors, which reduces the required damping resistor value. The capacitor impedance must be sufficiently smaller than the damping resistance at the resonant frequency to reduce the peaking. Determine the RDAMP range by using Equation 3 and Equation 4. Using a ratio of 16 or higher between damping capacitance (CDAMP) and decoupling capacitance (CDECOUP) provides a range of damping resistance that satisfies both equations. RDAMP ≥ 2 RDAMP ≤ 0.5 LBEAD C DAMP (3) LBEAD C DECOUP AMPLITUDE (dBµV) USING ADDITIONAL RC DECOUPLING FILTER 13359-020 RDAMP RIPPLE SPUR AT 2.4MHz IS REDUCED BY 5dB 40 30 20 10 0 –10 0.01 ADP5071 OUTPUT SPECTRUM WITH BEAD AND C LOW-PASS FILTER (METHOD C DAMPING) ADP5071 OUTPUT SPECTRUM WITHOUT BEAD AND C LOW-PASS FILTER 0.1 1 FREQUENCY (MHz) 10 100 13359-023 IN Figure 29. ADP5071 Spectral Output plus Bead and Capacitor Low-Pass Filter with Method C Damping Generally, Method C is the most elegant and is implemented by adding a resistor in series with a ceramic capacitor rather than buying an expensive dedicated damping capacitor. The safest designs always include a resistor that can be tweaked during prototyping and that can be eliminated if not necessary. The only drawbacks are the additional component cost and greater required board space. (4) where: RDAMP is the damping resistance. LBEAD is the bead inductance from Equation 1, including external inductance such as the parasitic trace inductance of the board. CDAMP is the damping capacitance. CDECOUP is the decoupling capacitance. Rev. 0 | Page 10 of 11 Application Note AN-1368 CONCLUSION REFERENCES This application note shows key considerations that must be taken into account when using ferrite beads. The application note also details a simple circuit model representing the bead. The simulation results show good correlation with the actual measured impedance vs. the frequency response at zero dc bias current. AN 583 Application Note. Designing Power Isolation Filters with Ferrite Beads for Altera FPGAs. Altera Corporation, 2009. The application note also discusses the effect of the dc bias current on the ferrite bead characteristics. It shows that a dc bias current greater than 20% of the rated current can cause a significant drop in the bead inductance. Such a current can also reduce the effective impedance of the bead and degrade its EMI filtering capability. When using ferrite beads in supply rail with dc bias current, ensure that the current does not cause saturation of the ferrite material and produce significant change of inductance. Because the ferrite bead is inductive, do not use it with high Q decoupling capacitors without careful attention. Doing so can do more harm than good by producing unwanted resonance in a circuit. However, the damping methods proposed in this application note offer an easy solution by using a large decoupling capacitor in series with a damping resistor across the load, thus avoiding unwanted resonance. Applying ferrite beads correctly can be an effective and inexpensive way to reduce high frequency noise and switching transients. Applications Manual for Power Supply Noise Suppression and Decoupling for Digital ICs, Murata Manufacturing Co., Ltd., 2010. Burket, Chris. All Ferrite Beads Are Not Created Equal – Understanding the Importance of Ferrite Bead Material Behavior. TDK Corporation, 2011. Fancher, David B. ILB, ILBB Ferrite Beads: Electro-Magnetic Interference and Electro-Magnetic Compatibility (EMI/EMC). Vishay Dale, 1999. Hill, Lee and Rick Meadors. Steward EMI Suppression Technical Presentation. Steward. Kundert, Ken. Power Supply Noise Reduction. Designer’s Guide Consulting, Inc., 2004. Solving Electromagnetic Interference (EMI) with Ferrites, Fair-Rite Products Corp. Weir, Steve. PDN Application of Ferrite Beads. IPBLOX, LLC, 2011 ©2015 Analog Devices, Inc. All rights reserved. Trademarks and registered trademarks are the property of their respective owners. AN13359-0-8/15(0) Rev. 0 | Page 11 of 11