# Reducing dc/dc-switching-converter ground noise

19 Apr 2012 | Jeff Barrow, Integrated Device Technology Inc**Share this page with your friends**

**Ground noise: Problem number 1**

Figure 1 shows an ideal buck converter with a constant load current. Switches S1 and S2 toggle back and forth, chopping the input voltage across the buck inductance and capacitance. Neither inductor current nor capacitor voltage can change instantaneously, and the load current is constant.

All switching voltages and currents should successfully span buck inductance or pass through the buck capacitance, respectively, because an ideal buck converter produces no ground noise. But experienced designers know that a buck converter is a notorious noise source. This fact means that the circuit in Figure 1 is missing some important physical elements.

Whenever charge moves, a magnetic field develops. Current in a wire, resistor, transistor, superconductor, or capacitor's plate-to-plate displacement creates a magnetic field. Magnetic flux is a magnetic field passing through a current-loop area and equals the product of the field cutting the loop surface at a right angle: ?B=B×A, where ?B is the magnetic flux, B is the magnetic field, and A is the current-loop area. The magnetic field at a distance encircling a wire is directly proportional to the wire's electrical current, B=µoI/2?r, where r is the magnetic field at a distance.

Electrical components have length, and charge must flow from one device to the next in the various wire segments. Moving charge creates a magnetic field, however, the circuit in Figure 1 can be improved. Figure 2 shows a better model of a simple buck converter.

In Figure 2, the wire remains ideal in every way, except that current must flow some distance in each segment while traveling from one electrical component to the next. As this charge flows, magnetic field wraps around the energized wires and is magnetic flux passing through the S1 and S2 switch loops.

Changing S1 and S2 current-loop areas is the first major source of switching-converter ground noise. Magnetic flux in the input-voltage-to-S1-to-ground loop grows and collapses on every switch cycle. That changing flux induces voltage everywhere in that loop, including the ideal ground-return line. No amount of copper, not even a superconductor, can eliminate this induced voltage. Only a reduction in the changing magnetic flux will help.

Changing magnetic flux has three factors: rate of change, magnetic-field strength, and loop area. Because the clock frequency and the maximum output current may be design requirements, minimizing loop area becomes the best approach. Inductance is proportional to magnetic flux.

Figure 3 shows an electrical model for Figure 2 in which changing current in parasitic inductor LP1 causes ground noise, whereas constant current in parasitic LP2 does not. Although Figure 3 presents the problem in a familiar way, it makes a poor substitute for the physically enhanced model in Figure 2. Figure 3 shows parasitically induced voltage across LP1and LP2, whereas the arrangement induces voltage everywhere in a loop enclosing changing magnetic flux. This circuit element, however, still serves the purpose of showing how to reduce induced ground noise.

In Figure 3, ground-return current flows and changes in LP1, and it causes a voltage-bounce problem. A carefully placed input capacitor reduces the parasitic magnetic-flux area and routes changing buck current in a path that does not include ground return (Figure 4). In this case, current in parasitic inductors LP1 and LP2 is constant, so the ground voltage is stable. The reduction in this magnetic-flux area also proportionally reduces EMI and all other unwanted, induced loop voltages.

The first important source of switching-converter ground noise is a result of changing magnetic-flux area. Good PCB design uses both trace routing and careful bypass-capacitor placement to minimize changing current-loop areas and changing current in a ground-return path.

**Ground noise: Problem number 2**

The second major ground-noise problem results from parasitic inductor capacitance (Figure 5). Voltage cannot instantaneously change across a capacitor, and current cannot instantaneously change through an inductor. So, voltage changes on the LX node couple directly across both the parasitic buck-inductor capacitance, CL, and the buckfilter capacitor, CBUCK, to appear across parasitic ground inductors LP1 and LP2.

No charge initially flows, but, in the next moment, current builds in all of these components until the energy in the parasitic buck-inductor capacitor, ECL=½CLVLX2, transfers to the wiring's parasitic magnetic field, ELP=½LPI2CHANGINGMAX, where LP is the sum of all parasitic loop inductors. The unwanted energy then passes back and forth from the electric to the magnetic field until it radiates or dissipates in resistive elements.

Both the peak voltage and the duration of a ground noise oscillation are problems. The peak voltage, measured at node VGB, is a function of the LX node's voltage change, the parasitic buck-inductor capacitance, and additional parasitic trace capacitance. A large parasitic buck-inductor capacitance stores more energy, so using a smaller one is a better approach. After selecting the buck inductor's inductance and current rating, choose an inductor with the highest self-resonating frequency to limit the capacity of CL. An inductor's self-resonating frequency is expressed as Doubling the self-resonating frequency reduces the parasitic inductor capacitance and, therefore, the ground-noise energy, by a factor of four.

When performance takes priority over cost, maintain the same value of inductance by replacing the single buck inductor in Figure 5 with two series-connected inductors, each having half the value of the buck inductor (Figure 6). For a manufacturer's series of inductors, the parasitic capacitance is typically proportional to the rated inductance, so one-half the inductance results in one-half the parasitic capacitance. With series-connected inductors, their values add to increase inductance, but parasitic capacitors add as the inverse sum of inverse values to decrease total parasitic capacitance. In two series-connected one-half-buck-inductance inductors, total inductance will be LBUCKNEW and total parasitic capacitance will drop by a factor of four to one-quarter of buck-inductor capacitance. This reduction in parasitic inductance in turn reduces ground bounce.

By exploring the models and understanding the two sources and mechanisms of ground noise that the ubiquitous dc/dc-switching converter induces, engineers can minimize the effects in the early stages of design, component selection, and layout and can reduce the number of subsequent production headaches and re-spins.

**Acknowledgment***This article originally appeared on EDN and Power Management Designline.*

**Author's biography***Jeff Barrow is a senior director of analog-IC design at Integrated Device Technology Inc, where he works on the development and usability of power ICs. He received a bachelor's degree in electrical engineering from the University of Arizona.*

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