Methods of Analysis in Electric Circuits: Independent vs. Dependent Sources
Explore the concepts of independent and dependent sources in electric circuits, including voltage-controlled and current-controlled sources. Learn about mesh analysis, nodal analysis, source conversions, and more in this comprehensive guide with helpful visual examples.
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Presentation Transcript
Chapter 17 Methods of Analysis and Selected Topics (ac) Independent Versus Dependent (Controlled) Sources Source conversions Mesh analysis (formatted approach) Nodal analysis (formatted approach) Bridge networks (ac) Star-Delta conversions 1
Independent and Dependent Sources An independent voltage or current source can be AC or DC but does not depend on other voltages or currents in the circuit. Dependent Sources Voltage-controlled voltage source (VCVS) Voltage-controlled current source (VCCS) Current-controlled voltage source (CCVS) Current-controlled current source (CCCS) 2
Mesh Analysis (Example) Loop 1: 5 ?6 ?1 4 ?8 ?2= 6.92 52.64 Loop 2: 4 ?8 ?1+ 4 ?2 ?2= 10 6
Mesh Analysis (Example) 6.92 52.64 10 5 ?6 4 + ?8 4 + ?8 4 ?2 4 + ?8 4 ?2 ?1= Loop 1: 5 ?6 ?1 4 ?8 ?2= 6.92 52.64 Loop 2: 4 ?8 ?1+ 4 ?2 ?2= 10 5 ?6 4 + ?8 5 ?6 4 + ?8 6.92 52.64 10 4 + ?8 4 ?2 ?2= = 1.27 86.92 ? 7
Mesh Analysis (Example) Loop 1: (?1+?2)?1 ?2?2= ?1 Loop 2: ?2?1+ ?2+ ?3?2= ??? ??= ?1 ?2?2 ?2?1+ ?2+ ?3?2= ? ?1 ?2?2 8
Supermesh Analysis (Example) Supermesh loop: ?1?1+ ?2?2= ?1+ ?2 Current Source: ?1 ?2= ?? 9
Supermesh Analysis (Example 2) Supermesh loop: 1? ?1+ 1? ?2+ 4? + ?6? ?3= 10 Current Sources: ?1= 6? 0 1? ?2+ 4? + ?6? ?3= 16 ?3 ?2= 0.1 ?? ??= (?1 ?2) 1? ?3 ?2= 100 ?1 ?2 99 ?2+ ?3= 0.6 10
Nodal Analysis (Example) ?1= 7 + ?8 ?2= 4 + ?5 ?3= ?10 ?4= 8 11
Nodal Analysis (Example) 1 ?1 +1 +1 1 ?3 ?2=?1 ?1 ?2 1 ?3 ?3 ?1 1 ?3 +1 ?1+ ?2= ?1 ?4 12
Supernode Analysis (Example) 1 1 ?1+ ?2= 5? 0 3?1 2? 1? ?2 ?1= 2?? ????1? ??= ?1 ?1= 2?? 1?= 2?1 1? 0.5? ?1+ 1? ?2= 5? + 6? ?1 5.5? ?1+ 1? ?2= 5? ?2 3?1= 0 2.5?1= 5? ?1= 2 ?,?2= 6 ? 13
Bridge Network IF: Then: 14
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