written 6.6 years ago by | modified 6.6 years ago by |
- 2 stage opamps are used when the output voltage swing must be maximised.
- As shown in figure, we can identify 3 poles,
- at X (or Y)
- at E (or F)
- at A (or B)
- Pole X lies at relatively high frequencies.
- At node A, the small signal resistance is lower bu the value of $C_L$ may be quite high.
- Therefore circuit exhibits 2 dominant poles.
- In bode plot,(fig:b)
$\omega_{P,E}$ -assumed more dominant
$\hspace{1cm}$- but relative positions of $\omega_{P,E}$ & $\omega_{P,A}$
$\hspace{1cm}$ depends on design and load capacitance.
Since, the plots at 'E' & 'A' are relatively close to origin, the phase approaches -$180^0$ well below 3rd pole.
Therefore,PM=>quite close to zero.One of the dominant poles must be moved towards origin so as to place the gain cross over well below phase crossover.
However, the unity gain BW after compensation cannot exceed the frequency of 2nd pole of the open loop system.
Thus if the magnitude of $\omega_{P,E}$ is decreasing, the available BW is limited to approx, $\omega_{P,A}$ a low value.
Furthermore, the very small magnitude of the required dominant pole translates to a very large compensation capacitor.
- In fig:(c)
It can be observed that the 1st stage- exhibited high output impedance & 2nd stage provides moderate gain, thereby providing suitable environment for Miller multiplication of capacitors.
The idea is to create large capacitance at node 'E' equal to $(1+A_{v2})C_C$ moving the corresponding pole to
$\hspace{3cm} R_{out}^{-1}\Big[ C_E+(1+A_{v2})C_C \Big]^{-1}$
$\hspace{2cm} $ where, $C_E$ -> capacitance at node E before adding $C_C$.As a result, a low frequency pole can be established with a moderate capacitance value, saving considerable chip area.