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In buck converters, control loop analysis involves injecting a small AC signal into the output feedback path to assess how the loop responds. This method helps evaluate the stability and dynamic behavior of the control system. The question is, what real-life scenario are we simulating by injecting this AC signal? Essentially, we're testing how the control loop reacts to disturbances, but it's unclear how this relates to typical operating conditions.

Is the goal to understand the converter's response to load steps through control loop analysis? If not load steps, is it the output ripple effects that we are trying to understand? If so, how does a small AC injection mimic the effects of a load step or output ripple voltage in a practical setting?

Ultimately, the purpose of control loop analysis is to determine the converter’s behavior in real-world conditions.

Request a simple answer to help understand intuitively.

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  • \$\begingroup\$ Is not the AC signal varied in frequency to generate a Bode plot of the loop response versus frequency to determine the stability of the feedback loop? That is a measure of how likely the circuit will oscillate under real world conditions. \$\endgroup\$ Commented Nov 28 at 5:12
  • \$\begingroup\$ Who says or where does it say that control loop analysis of buck converters has to involve the feedback path? \$\endgroup\$ Commented Nov 28 at 9:23
  • \$\begingroup\$ @Andyaka , please see this. The measurement is done in the area of the feedback resistor. electronics.stackexchange.com/questions/666877/… \$\endgroup\$ Commented Nov 28 at 10:12
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    \$\begingroup\$ I always try to do load and supply step analyses because they will reveal problems. Any modification to the feedback network can introduce problems. I'm not saying that everyone agrees with my take on this and, that is why I'm not making a formal answer. \$\endgroup\$ Commented Nov 28 at 11:02
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    \$\begingroup\$ I would say that measuring the loop gain on the prototype comes first why step-load response comes second. The first one is important for determining margins and how robust the compensation strategy is. You can use averaged models of course, but real measurements are important. The step load test is good to check how nonlinear behaviors affect the response, provided it is large-signal of course. But solely observing the transient response and inferring the converter will be stable along its operating lifetime is not something I recommend. \$\endgroup\$ Commented 2 days ago

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Measuring the compensating loop gain \$T\$ on a final prototype is essential to check the robustness of the compensation strategy. By compensation strategy, I imply the poles and the zeroes, placed to force a given crossover \$f_c\$ with adequate phase and gain margins. Once the theoretical analysis has been done - using equations or with an averaged model - the measurement on the prototype will tell if your model matches the real board. If not, then you need to feed it back with properly-characterized components.

The keyword here is margin: how much margin does your compensated loop gain have, before it becomes unstable? You know that the output capacitor ESR will move with temperature, age and production spread. Same with the optocoupler CTR and pole and so on. How will your converter react when these are varying along the power supply lifetime? If you don't have an idea of the margin you have, you can't be sure you have a solid design. And the only way to obtain an answer is by measuring the small-signal response of the loop via a frequency-response analyzer or FRA (see my answer on SE here).

The small-signal transient response of a converter depends on its output impedance \$Z_{out}\$. This output impedance is linked to the loop gain by \$Z_{out}(s)=\frac{Z_{out,OL}}{1+T(s)}\$ in which \$Z_{out,OL}\$ designates the open-loop output impedance (without the loop closed). You can therefore intuitively see that the transient response is intimately linked to the loop gain and how you have shaped its response. Without entering into the details, crossover frequency will give you how much undershoot is linked to the output capacitance while phase margin will affect the recovery time of the converter in a transient step.

As I said in the comments section, transient steps are important parts of the validation process, but they come second to loop measurements.

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