EE 230 Lecture 21 Spring 2010

EE 230 Lecture 21 Spring 2010 - EE 230 Lecture 21 Nonlinear...

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EE 230 Lecture 21 Nonlinear Op Amp Applications – Nonlinear analysis methods – Comparators with Hysteresis
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Quiz 15 Plot the transfer charactristics of the following circuit. Assume the op amp has V SATH =12V and V SATL =-12V. IN R OUT 1 2
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And the number is ? 1 3 8 4 6 7 5 2 9 ?
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Quiz 15 Plot the transfer charactristics of the following circuit. Assume the op amp has V SATH =12V and V SATL =-12V. IN R OUT 1 2 Solution: + IN V V= 4 + SATH R OUT + SATL R Vi f V > V V f V < V = SATH IN OUT SATL IN f V > 1 6 V V f V < 1 6 V = SATL SATH IN 16 12 -12
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The Comparators = DD IN REF OUT SS IN REF Vf o r V > V V o r V < V = DD IN REF OUT SS IN REF o r V < V V o r V > V Op Amps make good comparators when operated open-loop Some ICs are manufactured to serve only as comparators and often have better performance than op amps (Assume V SATH =V DD , V SATL =V SS ) Review from Last Lecture
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The Op Amp is Highly Nonlinear when Over-Driven The comparator circuit is also highly nonlinear Many useful applications of op amps when operating nonlinearly Many other nonlinear devices exist that are also very useful Review from Last Lecture
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Nonlinear Circuits and Applications • Superposition can not be used to analyze circuit • Nonlinear circuit applications – Will first consider applications where op amp operates nonlinearly – Will then consider other nonlinear devices Will first discuss the concepts of nonlinear circuits and nonlinear circuit analysis techniques Definition: A circuit is nonlinear if one or more devices in the circuit do not operate linearly Review from Last Lecture
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Methods of Analysis of Nonlinear Circuits Will consider three different analysis requirements and techniques for some particularly common classes of nonlinear circuits 1. Circuits with continuously differential devices Interested in obtaining transfer characteristics of these circuits or outputs for given input signals 2. Circuits with piecewise continuous devices interested in obtaining transfer characteristics of these circuits or outputs for a given input signals 3. Circuits with small-signal inputs that vary around some operating point Interested in obtaining relationship between small-signal inputs and the corresponding small-signal outputs. Will assume these circuits operate linearly in some suitably small region around the operating point Other types of nonlinearities may exist and other types of analysis may be required but we will not attempt to categorize these scenarios in this course Review from Last Lecture
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1. Nonlinear circuits with continuously differential devices Use KVL and KCL for analysis Represent nonlinear models for devices either mathematically or graphically Solve the resultant set of equations for the variables of interest Example: V X I X Nonlinear Device Circuit with Nonlinear Device V X =?
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EE 230 Lecture 21 Spring 2010 - EE 230 Lecture 21 Nonlinear...

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