EE_10_F07_Lecture 7

EE_10_F07_Lecture 7 - UCLA ELECTRICAL ENGINEERING DEPARTMENT EE 10 CIRCUIT ANALYSIS 1 LECTURE 7 LECTURE NOTES OCT 29 2007 OUTLINE REVIEW 1 THE

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UCLA E LECTRICAL E NGINEERING D EPARTMENT : EE 10: C IRCUIT A NALYSIS 1 L ECTURE 7 LECTURE NOTES: OCT. 29, 2007 OUTLINE REVIEW . ....................................................................................................................................... 1 THE PRINCIPLE OF SUPERPOSITION. ................................................................................. 6 PROBLEM SOLVING PROCEDURES USING THE SUPERPOSITION PRINCIPLE . .... 7 EQUIVALENT CIRCUITS: SOURCE EQUIVALENTS. ........................................................ 9 DERIVING THEVENIN AND NORTON EQUIVALENT CIRCUITS. ............................... 11 PROCEDURES FOR THEVENIN EQUIVALENT CIRCUITS . ............................................................. 11 PROCEDURES FOR NORTON EQUIVALENT CIRCUITS. ................................................................ 12 REVIEW OF PROCEDURES FOR COMPUTING SOURCE EQUIVALENTS. ............... 16 PROCEDURES FOR THEVENIN EQUIVALENT CIRCUITS . ............................................................. 16 PROCEDURES FOR NORTON EQUIVALENT CIRCUITS. ................................................................ 16 NORTON EQUIVALENT CIRCUITS. .................................................................................... 17 PROCEDURES FOR THEVENIN EQUIVALENT CIRCUITS . ............................................................. 18 PROCEDURES FOR NORTON EQUIVALENT CIRCUITS. ................................................................ 19 SOURCE EQUIVALENT CIRCUITS WITH DEPENDENT SOURCES . ........................... 21 APPLICATIONS OF EQUIVALENT CIRCUITS. ................................................................. 24 REVIEW 1. Dependent Sources 2. Node Voltage Methods for Circuits with Dependent Sources 3. Simplified Node Voltage Solution for Circuits Containing Voltage Sources Linking Essential Nodes. 4. Mesh Current Analysis Methods 5. Mesh Current Analysis Methods for Circuits with Dependent Sources 1
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UCLA E LECTRICAL E NGINEERING D EPARTMENT : EE 10: C IRCUIT A NALYSIS 1 L ECTURE 7 EXAMPLE PROBLEM WITH INDEPENDENT SOURCES FOR MESH CURRENT ANALYSIS 1A 6 Ω 8 Ω 2 Ω b a c d 29V 4 Ω + - Figure 1. An Example Problem for illustrating the Super Mesh. This problem is similar to the problem we solved previously to illustrate the Mesh Current method. However, this circuit has been modified to insert a current source connecting to nodes. We will proceed to solve for the currents and voltage values in this circuit. Lets follow our procedures. 1) List the information that is requested by the problem. a. We wish to obtain the power dissipation in the sources. 2) Examine the circuit to determine the approach for a solution a. Determine if a circuit simplification may be accomplished using an equivalent circuit, for example, a parallel, series, delta, or Y, circuit structure. b. None is recommended. 3) List known values of circuit variables 2
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UCLA E LECTRICAL E NGINEERING D EPARTMENT : EE 10: C IRCUIT A NALYSIS 1 L ECTURE 7 a. Source potential 4) Identify and label the N E Essential Nodes and N EB Essential Branches a. N E : a, b, c, d b. N EB : All branches 5) Draw and label Mesh Currents a. This is shown below. 1A 6 Ω 8 Ω 2 Ω b a c d 29V B A C 4 Ω + - 6) Use KVL and Ohm’s Law to write down an equation for each Mesh, writing the equations in terms of the resistances, and Mesh Currents. This KVL sum will have to include the unknown voltage across the 1A current source. a. Mesh Current A) -4(i A ) - 6( i A - i C ) - ( v b – v d ) = 0 a. Mesh Current B) ( ) - 8( i B i C ) – 29V = 0 b. Mesh Current C) - 6( i C - i A ) – 2( i C ) - 8( i C i B ) = 0 7) Include any Dependent Source constraint equations in terms of Mesh Currents a. There are none.
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This note was uploaded on 03/06/2008 for the course EE 10 taught by Professor Chang during the Fall '07 term at UCLA.

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EE_10_F07_Lecture 7 - UCLA ELECTRICAL ENGINEERING DEPARTMENT EE 10 CIRCUIT ANALYSIS 1 LECTURE 7 LECTURE NOTES OCT 29 2007 OUTLINE REVIEW 1 THE

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