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Maximum power transfer theorem
1. (Series of Lectures for DAE / B-Tech / BS
Electrical)
Presented by. Engr. Fazal Ur Rehman
Lecturer Electrical GPI Karak
Former HOD Electrical RPI, Rwp
2. NEED.
In Communication circuits if we need to transfer
maximum power from source (Transmitter) to
Load ( Receiver) then it can be made possible
via implementation of MPTT.
3. Maximum power will transferred from source
to load if the source impedance is equal to
load impedance.
OR
Maximum power is delivered to the load
when the load resistance is equal to the
internal resistance of a source.
4.
5. The original two terminal circuit is replaced
with a Thevenin’s equivalent circuit across
the variable load resistance. The current
through the load for any value of load
resistance is
6. For maximum transfer of power the load
resistance (RL as shown in the figure) must be
equal to source resistance (RTh in this case)
Note. RTh will be found out by using Thevinine
Theorem. (will be discussed in the upcoming
lectures)
The maximum power
Delivered to the load is.
The maximum power
Transferred from source is.
PT = IL
2 (RTH + RL)
= 2 IL
2 RL
7. It can be shown by power transfer curve shown
below;
The efficiency under the condition of maximum
power transfer is
Efficiency = Output / Input × 100
= IL
2 RL / 2 IL
2 RL × 100
= 50 %
8.
9. Step 1. Eliminate the load element from the
circuit.
Step 2. Find the VTh on load terminals.
Step 3. Secondly sources are assigned zero.
voltage source= short circuited
Current Source = Open Circuited.
Step 4. Then Calculate Total Resistance of the
remaining circuit. Mark it RTh.
Finally Connect VTh and RTh in series and
reconnect your load.
Then find Pmax at the end using Superposition
Theorem.
Pmax = V2
TH / 4 RTH
10.
11. Will there be maximum transfer of power
from audio amplifier to loudspeaker???
Answer is…