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Power Electronics Technology

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“Time ago, when amplifiers or servomechanisms were driven by<br />

vacuum tubes-based circuits, warm-up times during the power-on<br />

sequence could induce large loop gain variations.”<br />

point as well as the phase margin. We know by experience<br />

that the elements constitutive of the converter will<br />

exhibit variations along the product life cycle. These<br />

variations can be linked to natural production spreads<br />

(for instance, resistors or capacitors affected by lot-tolot<br />

tolerance). The converter environmental operating<br />

conditions also have an impact on components. Among<br />

these variables, temperature plays an important role<br />

and affects passive or active component parameters. It<br />

can be capacitors or inductors equivalent series resistors<br />

(ESR), the optocoupler current transfer ratio (CTR),<br />

or the beta of bipolar transistors for instance. These<br />

variations impact the loop gain by shifting it up or down<br />

depending on the affected parameters.<br />

If the gain curve undergoes a shift, the 0-dB cross-<br />

over frequency will transition to a new value imposing a<br />

different bandwidth to the converter. How can the converter<br />

stability be affected under these changes? Well, if<br />

the new crossover tales place at a point where the phase<br />

margin is weak, you may degrade the transient response<br />

so that the overshoot is no longer acceptable. It is thus<br />

your responsibility, as a designer, to ensure that these<br />

dispersions do not suddenly increase the gain at a frequency<br />

where you approach the -180° limit. You need<br />

sufficient gain margin as defined by<br />

www.powerelectronics.com June 2013 | <strong>Power</strong> <strong>Electronics</strong> <strong>Technology</strong> 17

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