Many EMI and SI problems are related to a combination of inductance and capacitance without losses. High peak voltages and currents, ringing, emissions, etc., are the result. Damping with resistors or ferrites is a common solution.
Many EMI and Signal Integrity problems are related to the existence of some resonance between inductance and capacitance without damping.
The ringing can create emissions, distortion, damage, etc. in electronic circuits, and usually, a solution for this problem is to include losses using resistors or ferrites.
One possibility for this problem is when using high-quality components. High-quality components can be characterized by low ESR (Equivalent Series Resistance) and high ESP (Equivalent Parallel Resistance)
Consider, for example, the situation in Figure 1. A PC board is being powered by a +12Vdc switching-mode power supply, and a Lo-Co low-pass filter is used at the input of the board to obtain a clean supply system.
The designer is using a 100uH inductor and two parallel 47uF capacitors. The high-quality components create a peak of voltage when the PSU is turned ON. Note how the peak voltage reaches 17.3V in our circuit, and one component was damaged sometimes during the operation.
The anomalous situation was analyzed using a single-shot scope trigger.
From a theoretical point of view, a step voltage function is applied to the second-order underdamped system, and you can obtain up to Q times the input voltage, where Q is the quality factor of the resonant circuit: the more Q, the more peak voltage.
The result for this peak (and ringing) could be damage in the powered circuits, EMI problems, or unexpected behavior in power integrity.
That is because I am usually VERY careful when using high-value and high-quality inductors.
In Figure 2, a simple analysis of the filter is included both in the time domain and the frequency domain. The underdamped behavior is clearly identified in both time and frequency plots.
Typically, to solve the problem using the same Lo and Co values we can: 1) use a lower quality capacitor (higher ESR); 2) use a lower quality inductor (lower EPR inductor); 3) including some Rd damping resistor in series with Co or in parallel with Lo; and 4) including some ferrite in series with Co or Lo.
Solution 3) was analyzed with a 1ohm resistor in series with the parallel capacitors. The ringing disappears in the time and frequency domains (see Figure 3). Note the included resistor reduces the low-pass effect between 10kHz and 1MHz because a series resistance with Co reduces the possibility for this component to offer a short circuit to ground in that frequency compared with the original situation.
My final advice: avoid high-quality and high-value combinations of inductors and capacitors without losses. If an underdamped situation is identified, add damping with resistors or ferrites.
