I'm an electronics student.. while reading the operational amplifiers in detail, I came across the word "internal compensation" in the summed up features of an op-amp. please give me the detailed explanation of this feature.
Assuming you've already studied the internal schematic of the classic 741 op-amp, you already know the major internal blocks are a differential-to-single-ended input stage (differential pair fed by current source), a common-emitter amplifier stage, and an output driver stage. The
internal compensation is a small negative feedback capacitor within the common-emitter amplifier stage. If you refer to TI LM741 datasheet, 7.2 Functional Block Diagram, the internal compensation capacitor is C1 30pF near the center of the schematic. (Note: TI's block diagram has an error, they have two transistors labeled Q15 and one unlabeled transistor.)
The purpose of this internal compensation is to reduce the open-loop gain at higher frequency, so that there will be less than unity gain at the frequency where the phase shift becomes 180 degrees. This is a heuristic to help ensure that there is sufficient phase margin to avoid oscillating, when the op-amp is externally configured as a unity-gain amplifier.
This is also a marketing feature for the IC manufacturer. They can make one version of the op amp that has internal compensation, for customers who care about unity-gain configuration. Then they also make a slightly different version that does not have the internal compensation, and thus will not be unity-gain stable. However the "uncompensated" op-amp will be stable at some minimum gain, for example 2V/V or 5V/V -- this will be specified on the data sheet.
Frequency compensation of a multi-stage amplifier is frequently necessary to prevent oscillation when feedback is applied. Op-amps are often intenaly compensated for unity gain (worst-case) by inserting a dominant pole at a low frequency such as 10Hz. Sometimes they are compensated for a minimum gain that is higher than 1, 5 or 10, for example, which allows better performance, provided you always need a gain that is that high. The size of capacitor required (maybe low double-digit pF) can be made on the IC with little trouble.
Uncompensated amplifiers have an external RC network or two that can be optimized for the situation. They used to be quite common (eg. LM709) but are relatively rare these days.
Here is the internal circuitry of the LM324 (one amplifier, simplified) showing the compensation capacitor Cc.
And the LM709, showing the external input and output compensation networks for unity gain.
As you can see, there are no capacitors on the chip:
More mathematics here. Google op-amp frequency compensation for much more information.