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THEVENIN’S AND NORTON’S
THEOREM
PRESENTED BY
P.ESWAR SAI (18981A0237)
P.SUPRIYA (18981A0238)
P.MOHAN (18981A0239)
P.NITISH (18981A0240)
P.SANJAYKUMAR(18981A0241)
UNDER THE GUIDANCE
Dr.SUDHEER VINNAKOTI
ASST PROFESSOR
RAGHU ENGINEERING COLLEGE
BATCH 8 1
 INTRODUCTION
 WHAT IS THEVENIN'S THEOREM?
 STEPS TO SOLVE THEVENIN'S
THEOREM
 LIMAITATION OF THEVENIN'S THEOREM
CONTENTS
RAGHU ENGINEERING COLLEGE
BATCH 8 2
INTRODUCTION
 Thevenin’s Theorem is a very important and useful
theorem.
 It is a method for the reduction of a portion of a complex
circuit into a simple one.
 It reduces the need for repeated solutions of the same
sets of equations.
RAGHU ENGINEERING COLLEGE
BATCH 8 3
NORTON’S THEOREM
 Any linear, active, bilateral dc network
having a number of voltage sources and/or
current sources with resistances can be
replaced by a simple equivalent circuit
having single current source (IN) in parallel
with a single resistance (RN).
RAGHU ENGINEERING COLLEGE
BATCH 8 4
“The Thevenin Theorem explains how to simplify a complex
circuit. It states that any linear circuit with only voltage
sources, current sources and resistors can be simplified to a
voltage source with a series resistor".
But what does this really mean?
Sometimes a picture says more than thousand words, so here are
two pictures to explain what Thevenin’s Theorem is about.
WHAT IS THEVENIN'S THEOREM?
…can be represented by this
simple circuit
RAGHU ENGINEERING COLLEGE
BATCH 8 5
STEPS TO SOLVE THEVENIN'S THEOREM
This is the circuit to explain Thevenin's theorem. Thevenin's theorem
can be explained with the help of the following simple example. The
steps are as follow:
Step1:Load resistance(RL) remove from the circuit terminal and for the
network showning.
Step2:The open circuit voltage(voc) which appear across terminala and
is calculated as
Voc is called the "Thevenin's voltage" (VTH).
RAGHU ENGINEERING COLLEGE
BATCH 8 6
Step 3:Removing the battery from the circuit leaving the internal
resistance (r) of the battery behind it (in fig.) when viewed from
terminals a and b , the internal resistance of the circuit is given by
This resistance Riis called Thevenin's
equivalent resistance (RTH).
Step 4:Thevenin's equivalent circuit is drawn as shown in
(in fig) and RL is reconnected across terminals a and b. The
current through RL is given.
RAGHU ENGINEERING COLLEGE
BATCH 8 7
Procedure for converting any circuit into Norton's equivalent circuit
Calculate Norton Current
Step 1: remove the load resistance RL (through which current is required)
and short circuit it. Let terminals of load are labelled as a-b. Therefore a-b
is the short circuited.
Step 2: Find the current through the terminal a-b by applying KCL, KVL,
Ohm’s law or Superposition principle. This current is the short circuit
current and it is known as Nortons equivalent current (IN).
Calculate Norton Resistance (equal to Thevinin resistance)
Step 3: Set all Independent voltage Sources as short circuit and Current
Sources open circuit. Dependent sources will not be changed
Step 4: Calculate the resistance as “seen” through the terminals a-b into the
network. This resistance is known as Norton’s equivalent resistance (RN ).
Draw Equivalent Circuit
Step 5: Replace the entire network by Nortons equivalent current (IN) in
parallel with Norton’s equivalent resistance (RN ) and connect the load
resistance RL.
RAGHU ENGINEERING COLLEGE
BATCH 8 8
RAGHU ENGINEERING COLLEGE
BATCH 8 9
Theoritical Calculations
Circuit1
0.157Ai1
0.25*0.628
(200/800)*ii1
0.628i
220/350
Req220/200i
150Req
120000/800Req
200)/800*(600
200toparallel600
600100500
seriesinare500,100
,KVLUsing









RAGHU ENGINEERING COLLEGE
BATCH 8 10
110vV
200*0.55V
r*iV
0.55i
220/400i
v/ri
400200200
seriesinare200,200
2CIRCUIT







RAGHU ENGINEERING COLLEGE
BATCH 8 11
0.824Ai
220/266.67i
66.67220/200i
66.67Requ
20000/300
200)/300*(100
parallelinare100,200
3Circuit





RAGHU ENGINEERING COLLEGE
BATCH 8 12
49.133
824.0/110
/
*
4




th
th
R
R
ivr
riv
circuit
RAGHU ENGINEERING COLLEGE
BATCH 8 13
Ai
i
rvi
CIRCUIT
173.0
49.633/110
/
5



RAGHU ENGINEERING COLLEGE
BATCH 8 14
Ai
i
CIRCUIT
173.0
21.0*824.0
6


RAGHU ENGINEERING COLLEGE
BATCH 8 15
CIRCUIT 1
RAGHU ENGINEERING COLLEGE
BATCH 8 16
CIRCUIT 2
RAGHU ENGINEERING COLLEGE
BATCH 8 17
CIRCUIT 3
RAGHU ENGINEERING COLLEGE
BATCH 8 18
CIRCUIT 4
RAGHU ENGINEERING COLLEGE
BATCH 8 19
CIRCUIT 5
RAGHU ENGINEERING COLLEGE
BATCH 8 20
CIRCUIT 6
LIMITATION OF THEVENIN'S THEOREM :
1. Thevenin Theorem is not applicable to the circuits that contain
nonlinear elements like transistors and diodes etc.
2. It is not applicable to the circuits having unilateral elements like
diode etc.
3. Thevenin's Theorem cannot be used for the circuits that contain
magnetic coupling between load and any other circuit element.
4. It is Not possible to apply the Thevenin's theorem to the circuits
containing load in series or parallel with controlled or dependent
sources.
RAGHU ENGINEERING COLLEGE
BATCH 8 21
RAGHU ENGINEERING COLLEGE
BATCH 8 22

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Eca on nortons and thevenins theoren and matlab simulation

  • 1. THEVENIN’S AND NORTON’S THEOREM PRESENTED BY P.ESWAR SAI (18981A0237) P.SUPRIYA (18981A0238) P.MOHAN (18981A0239) P.NITISH (18981A0240) P.SANJAYKUMAR(18981A0241) UNDER THE GUIDANCE Dr.SUDHEER VINNAKOTI ASST PROFESSOR RAGHU ENGINEERING COLLEGE BATCH 8 1
  • 2.  INTRODUCTION  WHAT IS THEVENIN'S THEOREM?  STEPS TO SOLVE THEVENIN'S THEOREM  LIMAITATION OF THEVENIN'S THEOREM CONTENTS RAGHU ENGINEERING COLLEGE BATCH 8 2
  • 3. INTRODUCTION  Thevenin’s Theorem is a very important and useful theorem.  It is a method for the reduction of a portion of a complex circuit into a simple one.  It reduces the need for repeated solutions of the same sets of equations. RAGHU ENGINEERING COLLEGE BATCH 8 3
  • 4. NORTON’S THEOREM  Any linear, active, bilateral dc network having a number of voltage sources and/or current sources with resistances can be replaced by a simple equivalent circuit having single current source (IN) in parallel with a single resistance (RN). RAGHU ENGINEERING COLLEGE BATCH 8 4
  • 5. “The Thevenin Theorem explains how to simplify a complex circuit. It states that any linear circuit with only voltage sources, current sources and resistors can be simplified to a voltage source with a series resistor". But what does this really mean? Sometimes a picture says more than thousand words, so here are two pictures to explain what Thevenin’s Theorem is about. WHAT IS THEVENIN'S THEOREM? …can be represented by this simple circuit RAGHU ENGINEERING COLLEGE BATCH 8 5
  • 6. STEPS TO SOLVE THEVENIN'S THEOREM This is the circuit to explain Thevenin's theorem. Thevenin's theorem can be explained with the help of the following simple example. The steps are as follow: Step1:Load resistance(RL) remove from the circuit terminal and for the network showning. Step2:The open circuit voltage(voc) which appear across terminala and is calculated as Voc is called the "Thevenin's voltage" (VTH). RAGHU ENGINEERING COLLEGE BATCH 8 6
  • 7. Step 3:Removing the battery from the circuit leaving the internal resistance (r) of the battery behind it (in fig.) when viewed from terminals a and b , the internal resistance of the circuit is given by This resistance Riis called Thevenin's equivalent resistance (RTH). Step 4:Thevenin's equivalent circuit is drawn as shown in (in fig) and RL is reconnected across terminals a and b. The current through RL is given. RAGHU ENGINEERING COLLEGE BATCH 8 7
  • 8. Procedure for converting any circuit into Norton's equivalent circuit Calculate Norton Current Step 1: remove the load resistance RL (through which current is required) and short circuit it. Let terminals of load are labelled as a-b. Therefore a-b is the short circuited. Step 2: Find the current through the terminal a-b by applying KCL, KVL, Ohm’s law or Superposition principle. This current is the short circuit current and it is known as Nortons equivalent current (IN). Calculate Norton Resistance (equal to Thevinin resistance) Step 3: Set all Independent voltage Sources as short circuit and Current Sources open circuit. Dependent sources will not be changed Step 4: Calculate the resistance as “seen” through the terminals a-b into the network. This resistance is known as Norton’s equivalent resistance (RN ). Draw Equivalent Circuit Step 5: Replace the entire network by Nortons equivalent current (IN) in parallel with Norton’s equivalent resistance (RN ) and connect the load resistance RL. RAGHU ENGINEERING COLLEGE BATCH 8 8
  • 9. RAGHU ENGINEERING COLLEGE BATCH 8 9 Theoritical Calculations Circuit1 0.157Ai1 0.25*0.628 (200/800)*ii1 0.628i 220/350 Req220/200i 150Req 120000/800Req 200)/800*(600 200toparallel600 600100500 seriesinare500,100 ,KVLUsing         
  • 10. RAGHU ENGINEERING COLLEGE BATCH 8 10 110vV 200*0.55V r*iV 0.55i 220/400i v/ri 400200200 seriesinare200,200 2CIRCUIT       
  • 11. RAGHU ENGINEERING COLLEGE BATCH 8 11 0.824Ai 220/266.67i 66.67220/200i 66.67Requ 20000/300 200)/300*(100 parallelinare100,200 3Circuit     
  • 12. RAGHU ENGINEERING COLLEGE BATCH 8 12 49.133 824.0/110 / * 4     th th R R ivr riv circuit
  • 13. RAGHU ENGINEERING COLLEGE BATCH 8 13 Ai i rvi CIRCUIT 173.0 49.633/110 / 5   
  • 14. RAGHU ENGINEERING COLLEGE BATCH 8 14 Ai i CIRCUIT 173.0 21.0*824.0 6  
  • 21. LIMITATION OF THEVENIN'S THEOREM : 1. Thevenin Theorem is not applicable to the circuits that contain nonlinear elements like transistors and diodes etc. 2. It is not applicable to the circuits having unilateral elements like diode etc. 3. Thevenin's Theorem cannot be used for the circuits that contain magnetic coupling between load and any other circuit element. 4. It is Not possible to apply the Thevenin's theorem to the circuits containing load in series or parallel with controlled or dependent sources. RAGHU ENGINEERING COLLEGE BATCH 8 21