Analysis of circuits towards stability

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SUMMARY

The discussion focuses on analyzing circuits for stability, particularly in the context of analog circuits and the concepts of poles and zeros. Participants emphasize the importance of understanding complex numbers, circuit analysis techniques, and control systems theory to effectively analyze circuits. While shortcuts are desired, it is established that thorough analysis and practice are essential for accurately determining stability and bandwidth. The consensus is that visual inspection alone is insufficient for complex stability assessments.

PREREQUISITES
  • Complex numbers and complex algebra
  • Circuit analysis techniques
  • Transistor circuit design
  • Control systems theory and stability
NEXT STEPS
  • Study Bode plots and their role in stability analysis
  • Explore advanced circuit analysis techniques for analog circuits
  • Learn about the mathematical foundations of poles and zeros
  • Investigate practical applications of control systems theory in circuit design
USEFUL FOR

Electrical engineers, circuit designers, and students in control systems looking to enhance their understanding of analog circuit stability and analysis techniques.

rama1001
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analysis of circuits towards stability ...

I studied so many materials and some of those are describing about analogue corcuits for many purposes. In part of that everytime they explaine about pole ZERO concepts(whenever i seen those words in paragraph i feel that is bad ). I need to overcome that by your help.

First of all if you are designing any system which mixed up with analogue circuits. how can i decide myself and analyze after seeing that circuits(like that resistor will cause for dominant pole or may be it can make zero) like you are analyzing now.

Dont say me like you need to draw bode plot for that system. tell if there is any shortcuts. and how you are analyzing circuits by telling those points. how can i improve in that area..

need any suggestions to analyze the circuit.
 
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rama1001 said:
I studied so many materials and some of those are describing about analogue corcuits for many purposes. In part of that everytime they explaine about pole ZERO concepts(whenever i seen those words in paragraph i feel that is bad ). I need to overcome that by your help.

First of all if you are designing any system which mixed up with analogue circuits. how can i decide myself and analyze after seeing that circuits(like that resistor will cause for dominant pole or may be it can make zero) like you are analyzing now.

Dont say me like you need to draw bode plot for that system. tell if there is any shortcuts. and how you are analyzing circuits by telling those points. how can i improve in that area..

need any suggestions to analyze the circuit.

I'm barely understanding your question. I also don't know what you know about circuit analysis, control systems theory and the math of both. What do you know about:

  • Complex numbers and complex algebra
  • Circuit analysis techniques
  • Transistor circuit design
  • Control systems theory and stability

If you know these already, then don't take it as an insult; I need to know "who" I'm talking to technically answer your question without wasting your or my time. The answer will start with the above areas of knowledge.

In practice, you would have internalized/learned the above (which includes Bode Plots but other stability criteria as well) and then only with practice do you reach a point where you can say "by inspection" (just by looking at the circuit) how the bandwidth or stability might be affected. Strictly you are still going to write out some equations and do some calculations to be sure.

Something as complex (no pun intended) as stability usually can't be done "by inspection" visually. You really only can go through the work of analysis. Folks who do analog design have simply done it some many times that we make it look easy. It's not.

I don't know of any shortcuts to anything in life that actually work.
 


Poles are where the dependent variable goes to infinity. Zero's are when it goes to zero. That's all.

The independent variable is complex, so a pole is just some place on the complex plan where the independent variable goes to infinity.

Some pictures. http://www.chem.mtu.edu/~tbco/cm416/PolesAndZeros.html"
 
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