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EE618 - Sensitivity and Tolerance Analysis

  • Instructor:
  • Course Web Page: EE618 - Sensitivity and Tolerance Analysis
  • COURSE INFORMATON

    Course Title

    Code

    Semester

    C +P + L  Hour

    Credits

    ECTS

    Sensitivity and Tolerance Analysis

    EE618

    Spring

    3 + 0 + 0

    3

    10

     

    Prerequisites

    Non

     

    Language of Instruction

    English

    Course Level

    Master/PhD

    Course Type

    Core/Elective

    Course Coordinator

    Cevdet Acar

    Instructors

    Cevdet Acar

    Assistants


    Goals

    To study of parameter variations due to environmental conditions and manufacturing errors. To evaluate and to reduce the deviations in objective function caused by these parameter variations. To be able to compare the circuits from sensitivity point of view, realizing the same objective function. To find out the critical elements that cause at most to the deviations in objective function when they varies.

    Content

    Sensitivity problem. Variations in parameters and in objective functions. Sensitivity definition and their types. Relations between sensitivities. Sensitivity calculation methods: Methods based on signal-flow graphs. Method based on return differences. Adjoin network approach. Deterministic and statistical tolerances of the parameters and objective function. Improving of the behaviors of the networks and systems, comparison of the networks and systems from sensitivity point of view realizing the same objective function: Deterministic and statistical sensitivity measures. Critical element analysis.

     

    Learning Outcomes

    Program Outcomes

    Teaching Methods

    Assessment Methods

    1)    Ability to find out the variations and tolerances of parameters and the objective function,

    1,2

    1,2

    A

    2)    Ability to know the sensitivity definition, sensitivity types, sensitivity relations and ability to calculate the sensitivities using well known methods,

     

    1,2

    1,2

    A

    3)    Ability to use sensitivity measures and to improve sensitivity behaviors of networks and systems,

    2,3

    1,2

    A

    4)    Ability to compare the networks and systems realizing the same objective function from sensitivity point of view,

     

    3,5

    1,2

    A

    5)    Ability to do critical element analysis.

    3,5

    1,2

    A

     

    Teaching Methods:

    1: Lecture,  2: Problem Solving,  3: Simulation,  4: Seminar,  5: Laboratory,

    6: Term Research Paper

    Assessment Methods:

    A: Exam, B: Quiz, C: Experiment, D: Homework, E: Project

     

     

    COURSE CONTENT

    Week

    Topics

    Study Materials

    1

    Sensitivity problem, variations in parameters and in objective functions. Sensitivity definitions. Sensitivity types. Single parameter and multi-parameter sensitivities.

    sources

    2

    Gain, phase, network or system function sensitivities. Relation between these sensitivities. Zero and pole sensitivities and their evaluation by the use of numerator and denominator polynomials.

     

    sources

    3

    Pole quality factor and pole frequency sensitivities. Relations between pole sensitivity and these sensitivities.

    sources

    4

    Sensitivity relations for the networks composed of R,L, C and dependent sources, driven from impedance and frequency scaling.

    sources

    5

    Some applications showing important of sensitivity: Sensitivity in LC and resistively terminated LC-filters. Orchard theorem.

    sources

    6

    Effects of topology on sensitivity: Sensitivities in amplifiers with different topology but the same gain function.

    Finding out the effects of the quality factors of inductors and capacitors on the objective function.

     

    sources

    7

    Signal-flow graphs, Determinant of signal-flow graph, loop and node expansion of signal-flow graph, graph gain and mason gain formula that gives graph gain. Relations between system function sensitivities.

    sources

    8

    Sensitivity evaluations. Methods based on signal-flow graphs: Lynch formula, chaika formula and lee’s algorithm.

    sources

    9

    Return difference, null return difference, complementary return difference and generalized return difference concepts. Sensitivity evaluation in terms of return differences.

    sources

    10

    Determination of sensitivities using adjoin network approach.

     

    sources

    11

    Investigation of the parameter and objective function variations by the use of statistic and random variables.

    sources

    12

    Deterministic and statistical tolerances of network parameters and objective function. Evaluation of objective function tolerance.

    sources

    13

    Improving of the sensitivity behavior of networks and systems. Comparison of the networks from sensitivity point of view: Deterministic and statistical sensitivity measures.

    sources

    14

    Critical element analysis.

    sources

     

    RECOMMENDED SOURCES

    Textbook

    C. Acar: Sensitivity and tolerance analysis, ITU Press, no:1156, Istanbul, 1979.

    Additional Resources

    Journal papers regarding sensitivity and tolerance analysis.

     

    MATERIAL SHARING

    Documents

    Applications and their solutions.

    Assignments


    Exams

    Solutions of exams.

     

    ASSESSMENT

    IN-TERM STUDIES

    NUMBER

    PERCENTAGE

    Midterms

    2

    30/30

    Total


    60/60

    CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE

    1

    40

    CONTRIBUTION OF IN-TERM STUDIES TO OVERALL GRADE

     

    60

    Total

     

    100

     

     

    COURSE CATEGORY

    Field Course

     

    COURSE'S CONTRIBUTION TO PROGRAM

    No

     Program Learning Outcomes

    Contribution

    1

    2

    3

    4

    5


    1

    Comprehends and applies basic sciences, mathematics and engineering sciences at the highest possible level.





    x


    2

    Demonstrates a thorough knowledge in Electrical and Electronics Engineering in breadth and depth including the current trends of development.



    x




    3

    Designs, implements and completes an original research process independently; manages this process.




    x



    4

    Can reach and grasp the most recent information in a field, has a high level of competence in the necessary methodology and skills to do research in this field.







    5

    Performs a comprehensive work that results in a new scientific method or technological product/process development, a scientific and technological innovation, or an application of a known method to a new area.




    x



    6

    Contributes to the literature of science and technology by publishing the results of academic studies in respectable academic media.







    7

    Can critically analyze, synthesize and evaluate the ideas and developments in Electrical and Electronics Engineering.







    8

    Can communicate effectively with the Electrical and Electronic Engineers and the wider scientific and social communities in written and spoken Turkish; can establish written, oral and visual communications, and can participate in discussions using one foreign language (English) at least at the General Advanced Level C1 of European Language Portfolio.







    9

    Evaluates scientific, technological, social and cultural developments, and transfers the outcomes to the society with scientific objectivity and ethical responsibility.







     

    ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

    Activities

    Quantity

    Duration
    (Hour)

    Total
    Workload
    (Hour)

    Course Duration (including 2 midterms: 14xtotal lecture hours)

    14

    3

    42

    Hours for off-the-classroom study (Pre-study, practice)

    14

    14

    196

    Midterms

    2

    3

    6

    Final examination

    1

    3

    3

    Total Work Load



    247

    Total Work Load / 25 (h)

     

     

    10

    ECTS Credit of the Course

     

     

    10

     

  • Syllabus
  • Course Outline:

    Sensitivity problem. Variations in parameters and in objective functions. Sensitivity definition and their types. Relations between sensitivities. Sensitivity calculation methods: Methods based on signal-flow graphs. Method based on return differences. Adjoin network approach. Deterministic and statistical tolerances of the parameters and objective function. Improving of the behaviors of the networks and systems, comparison of the networks and systems from sensitivity point of view realizing the same objective function: Deterministic and statistical sensitivity measures. Critical element analysis.