Superposition Theorem: A Practical Experiment in Power Electronics, Thesis of Power Electronics

To study Superposition theorem practically

Typology: Thesis

2016/2017

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University of Technology
Laser and Optoelectronics Engineering Department
Laser Engineering Branch
Power electronics 2010-2011
Experiment No.12
Superposition Theorem
Aim of experiment: To study Superposition theorem practically.
Apparatus
1. DC circuit training system
2. Set of wires.
3. DC Power supply
4. Digital A.V.O. meter
Theory
The superposition theorem is very useful for finding the voltages and currents
in a circuit with two or more sources of supply, and is usually easier to use than
Kirchoff ’s law equations. One supply is selected and the circuit is redrawn to
show the other supply (or supplies) short-circuited (leaving only the internal
resistance of each supply). The voltage and current caused by the first supply can
then be calculated, using V = RI methods together with the rules for combining
series and parallel resistors. Each supply is treated in turn in the same way, and
finally the voltages and currents caused by each supply are added.
Hence, this theorem may be state as follows:
Example: In the network shown, find the voltage across the 2.2 k resistor.
In a network of linear resistances containing more than one generator (or
source of e.m.f.), the current which flows at any point is the sum of all the
currents which would flow at that point if each generator were considered
separately and all the other generators replaced for the time being by
resistances equal to their internal resistances.
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Laser and Optoelectronics Engineering Department Laser Engineering Branch Power electronics 2010- 2011

Experiment No.

Superposition Theorem

Aim of experiment: To study Superposition theorem practically.

Apparatus

1. DC circuit training system

2. Set of wires.

3. DC Power supply

4. Digital A.V.O. meter

Theory

The superposition theorem is very useful for finding the voltages and currents

in a circuit with two or more sources of supply, and is usually easier to use than

Kirchoff ’s law equations. One supply is selected and the circuit is redrawn to

show the other supply (or supplies) short-circuited (leaving only the internal

resistance of each supply). The voltage and current caused by the first supply can

then be calculated, using V = RI methods together with the rules for combining

series and parallel resistors. Each supply is treated in turn in the same way, and

finally the voltages and currents caused by each supply are added.

Hence, this theorem may be state as follows:

Example: In the network shown, find the voltage across the 2.2 k resistor.

In a network of linear resistances containing more than one generator (or

source of e.m.f.), the current which flows at any point is the sum of all the

currents which would flow at that point if each generator were considered

separately and all the other generators replaced for the time being by

resistances equal to their internal resistances.

Laser and Optoelectronics Engineering Department Laser Engineering Branch Power electronics 2010- 2011

Procedure

1. Connect the circuit shown below.

2. Measure values of ( I 1 , I 2 , I 3 ) and record it in the table

I 1 (mA) I 2 (mA) I 3 (mA)

In this network, there are two generators and three resistors. The generators might be batteries, oscillators, or other signal sources.

To find the voltage caused by the 6V generator, replace the 4 V generator by its internal resistance of 0.5k. Using Ohm’s law, and the potential divider equation: V = 1.736V.

To find the voltage caused by the 4 V generator, the 6 V generator is replaced by its 1 k internal resistance. In this case: V = 2.315 V.

Now the total voltage in the original circuit across the 2.2k resistor is simply the sum of these: 4.051 V

Laser and Optoelectronics Engineering Department Laser Engineering Branch Power electronics 2010- 2011

5. Connect the circuit below, when V 1 =short and V 2 = on

5. Measure values of ( I 1 , I 2 , I 3 ) and record it in the table

I 1 (mA) I 2 (mA) I 3 (mA)

6. From results, calculate the current pass through each resistor and

voltage across each resistor.

Discussion

1. Compare between the theoretical and practical results.

2. Comment on your results.

3. Find ( Ia ) by using superposition theorem for the circuit below.

9 V

A

I 2

A

I 1

I 3 A

Laser and Optoelectronics Engineering Department

Laser Engineering Branch Power electronics 2010- 2011