4t1~ 09 om o po 12-2 Electronic Feedback Systems Blackboard 12.1 Blackboard 12.2 Feedback Compensation of an OperationalAmplifier Viewgraph 12.1 t Open-loop transfer function for one-pole compensation. o Viewgraph 12.2 Cc Vi VO 01 Noninverting amplifier. 12-3 12-4 Electronic FeedbackSystems Viewgraph 12.3 This side to input of highgain stage This side from output of highgain stage Vn Network for two-pole compensation Viewgraph 12.4 \,-Approximation t M -90 t -180 -2700| Open-loop transfer function for two-pole compensation. Feedback Compensation of an OperationalAmplifier Viewgraph 12.5 2.2 k92 301+ 7 0 A 3OpF 30pF *-~- Open this connection for one-pole compensation. Unity-gain inverter with two-pole compensation. IiViewgraph Dominant pole pair A beyond here for high ao f0 High-frequency amplifier poles -1.1 X 10 Dominant pole pair in this region for low ao f 0 s -p s plane Root-locus diagram for inverter with two-pole compensation. 12.6 12-5 12-6 ElectronicFeedback Systems Demonstration Photograph 12.1 Operational-amplifier compensation demonstration Demonstration Photograph 12.2 Close-up of operationalamplifier for compensation circuit Feedback Compensation of an OperationalAmplifier In this session we show how minor-loop compensation is used to control the dynamics of an available integrated-circuit operational amplifier. We find that in certain applications, dramatic performance improvements are possible compared with a similar amplifier that uses fixed compensation that is selected for unity-gain stability. Comments While specific values for the compensating components are selected based on parameters of the amplifier type used, the general methods are applicable to any amplifier that allows the choice of the components used for minor-loop compensation. In about the middle of the first blackboard I give the expression for the closed-loop gain as: Correction 1 f 2Ces f+ 1 2Ces 1 + 2Cs The final expression should read: 1 1 f 2Ces g,nf + 1 (There is a g,, missing in the equation on the blackboard.) Textbook: Sections 13.3.2 and 13.3.3. Reading 12-7 12-8 Problems Problem 12.1 (P13.5) Problem 12.2 (P13.6) Problem 12.3 (P13.7) Problem 12.4 (P13.8) MIT OpenCourseWare http://ocw.mit.edu RES.6-010 Electronic Feedback Systems Spring 2013 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.