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Reducing ground bounce in dc/dc-converter applications

Electrical ground, which looks simple on a schematic, can become complex depending on how you lay out the pc board. Unfortunately, ground-node analysis is difficult. However, understanding the physics of ground noise helps to reduce the problem.

By Jeff Barrow, Analog Devices -- EDN, 7/6/2006

Sidebars:
PC-board-layout configurations affect ground bounce

"Ground bounce" is the amount that a ground return rises or falls relative to the system's 0V reference, and, in a dc/dc-switching converter, ground bounce can be many volts, often because of changing magnetic flux. Magnetic flux is proportional to a magnetic field that passes through a loop area. Figure 1 illustrates magnetic flux in a simple circuit loop. A voltage source pushes current through a resistor and around a loop of wire. Imagine that you are grabbing the wire with your right hand. Pointing your thumb in the direction of current flow, your fingers wrap around the wire in the direction of the magnetic-field lines. As those field lines pass through the loop, they establish magnetic flux. If you change either the magnetic-field strength or the loop area, the flux will change, inducing a voltage in the wire. Figure 2 shows the same circuit with an added switch. When the switch opens, current stops flowing, so the magnetic flux collapses, inducing a voltage everywhere along the wire.

Generally, pc-board-ground-plane resistance is a less important source of ground bounce than magnetic-flux change. (The sheet resistance of 1-oz copper is about 500 µΩ/∉, so a 1A change in current produces 500 µV/∉ of bounce—a problem for thin, long, or daisy-chained grounds or precision electronics.) Parasitic capacitance is a path for large transient currents to a ground return. The change in magnetic flux from those current spikes induces ground bounce. Therefore, the best way to reduce ground bounce in a switching dc/dc converter is to control changes in magnetic flux.

In a basic circuit, output current remains constant, but the loop area changes (Figure 3). In Figure 3a, ideal wires connect an ideal voltage source to an ideal current source. Current flows in a loop that includes ground return. In Figure 3b, the switch changes position. The current source is still dc, but the loop area changes and generates a magnetic-flux change, inducing a ground-bounce voltage (see sidebar "Five pc-board-layout configurations affect ground bounce").

Buck-converter ground bounce

The buck converter in Figure 4 is similar to the simple circuit in Figure 3. At high frequencies, a large capacitor, such as a buck input capacitor, looks like a dc voltage source. Similarly, the large output buck inductor looks like a dc current source. Magnetic flux changes as the switch moves between the positions (Figure 5). The large buck inductor, LBUCK, holds the output current roughly constant. Similarly, CVIN maintains a more or less constant voltage across the parasitic-input inductance, so the input current is also approximately constant. Although the input and output currents are roughly dc, as the switch moves from Position 1 to Position 2, the total loop area rapidly changes in the circuit's middle. This change means that magnetic flux is changing, which in turn induces ground bounce along the return wire.

Buck converters comprise semiconductor switches (Figure 6). But, as the complexity increases, the analysis of ground bounce that changing magnetic flux induces remains simple and intuitive. Knowing that a change in magnetic flux induces voltage everywhere along a ground return brings up an interesting question: Where is true ground? After all, ground bounce means a ground-return trace is bouncing with respect to ground, and you must identify that point.

In the case of power-regulation circuits, true ground needs to be at the point of load. A dc/dc converter delivers quality voltage and current to the load. All other points returning current are not grounds but just return lines to ground. Figure 7 shows how careful placement of CVIN reduces ground bounce. Capacitor CVIN bypasses the top of the high-side switch to the bottom of the low-side switch, shrinking the changing-loop area. Additionally, the changing-loop area is isolated from the ground return. From the ground of VIN to the true ground of the load, no loop area or switch-current changes flow from one case to the next. Consequently, ground return does not bounce.

Figure 8 shows an inferior but perhaps typical pc-board layout of the buck schematic in Figure 6. In Figure 8, the high-side switch is on, and dc current flow follows the outer red loop. The low-side switch is on, and dc current flow now follows the blue loop. Note the changing loop area and, hence, the changing magnetic flux. So, this arrangement induces voltage, and the ground bounces. Figure 9 provides an example in which a solid ground plane may be a poor choice. In this case, designers constructed a two-layer pc board so that a bypass capacitor attaches at a right angle to a top-layer supply line. In Figure 9a, the ground plane is solid and uncut, a common but sometimes poor layout practice. Top-trace current flows through the capacitor, down the via, and out the ground plane.

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Because ac current always takes the path of least impedance, ground-return current cuts the corner on its way back to the source. But the current has a magnetic field and draws out a loop area that changes with a change in current magnitude or frequency. Magnetic flux is in that loop and changes if either the current magnitude or the frequency changes. That change means that a sheet ground plane—even if it's superconducting—can bounce. However, a careful cut in the ground plane constrains the return current to a minimum loop area and fixes the bounce. This approach also isolates the cut return line's bounce voltage from the general ground plane.

The pc-board layout in Figure 10 uses the same principle as the one in Figure 9 to reduce ground bounce. Designers built a two-layer pc board's input capacitor and both switches over an island in the ground plane. This layout is not necessarily the best, but it works well and illustrates the key principles. Note the large loop areas traced out by the red and blue current paths in Figure 10. But the two loops differ only slightly. The small change in loop area means a small change in magnetic flux and, hence, a small ground bounce. Additionally, in the ground-return island in which magnetic fields and loop area do change, the cut contains any ground-return bounce. Also, the input capacitor, CVIN (Figure 10), may look as if it resides in a different area from the high- and low-side switches from CVIN in Figure 7, but it is actually electrically nearby. Physical proximity can be good, but the electrical proximity that you achieve by minimizing the loop area is more important.

Boost-converter ground bounce

A boost converter is the inverse of a buck converter, so you must place the output capacitor so that it goes from the top of the high-side switch to the bottom of the low-side switch to minimize the change in loop area (Figure 11). Ground bounce results primarily from a change in magnetic flux, which induces a ground-bounce voltage. In a dc/dc-switching power supply, the flux changes because high-speed switches direct current to different current-loop areas. However, careful placement of the buck/boost-input/output capacitor and a surgical cut to a ground plane can isolate bounce. Be careful when cutting a ground plane, because doing so can increase the loop area for some other return current in the circuit.


Author Information
Jeff Barrow is a design manager for the Display Technology Products Group at Analog Devices (Tucson, AZ), where he is responsible for the development of multichannel power ICs and analog-signal conditioners for LCD TVs and monitors. He received a bachelor's degree in electrical engineering from the University of Arizona (Tucson), and his personal interests include physics and electronics.

PC-board-layout configurations affect ground bounce

Conductors that cross at right angles do not interact magnetically: The magnetic field from the vertical trace induces positive and negative voltages that cancel in the horizontal trace (Figure A).

Magnetic-field lines around parallel wires with equal currents cancel everywhere between the wires, so the total stored energy is less than what you would find for the individual wires. Wide pc-board traces have less inductance than narrow traces (Figure B).

Magnetic-field lines around parallel conductors with opposite current flow cancel everywhere outside the conductors and add everywhere inside. If you make the inside loop area small, then the total magnetic flux and, therefore, the inductance will also be small (Figure C). This behavior is the reason that the ac ground-plane return current always flows under the top-trace conductor.

Corners have more inductance because both the vertical and horizontal traces see a magnetic field from themselves as well as from the perpendicular trace (Figure D). A current flows into a top trace, down a via, into a ground plane, and back up a via to the bottom of the source (Figure E). The return current flows, with dc current taking the path of least resistance and ac current taking the path of least impedance. Because top-trace corners and ground-plane cuts increase impedance, you can expect ground bounce. The change in magnetic flux at those points induces the bounce.

The upper trace in Figure F shows good layout practice; the capacitor is in line with the current flow, creating a minimal loop size. The bottom trace, with the capacitor at right angles to the current flow, creates an unnecessarily large loop, resulting in ground bounce.




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