Maximum Power Transfer The end of this lesson

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Maximum Power Transfer The end of this lesson, students should be able to :

Maximum Power Transfer The end of this lesson, students should be able to : i. State Maximum transfer theorem ii. Describe the following ; a. The maximum power transfer based on circuit diagram. b. The power versus load resistance graph iii. Determine the load needed for maximum power transfer to a circuit ET 101 ELECTRICAL TECHNOLOGY 1

DEFINITION OF POWER MAXIMUM TRANSFER The maximum power transfer theorem is stated that maximum

DEFINITION OF POWER MAXIMUM TRANSFER The maximum power transfer theorem is stated that maximum power is transferred from a source to a load when the load resistance is equal To the internal source resistance. Maximum power is transferred to the load when RL=RTH ET 101 ELECTRICAL TECHNOLOGY 2

Consider the General Case • A resistive network contains independent and dependent sources. •

Consider the General Case • A resistive network contains independent and dependent sources. • A load is connected to a pair of terminals labeled a – b. • What value of load resistance permits maximum power delivery to the load? ET 101 ELECTRICAL TECHNOLOGY 3

General Case (continued) ET 101 ELECTRICAL TECHNOLOGY 4

General Case (continued) ET 101 ELECTRICAL TECHNOLOGY 4

Take the Thevenin equivalent of the circuit 5

Take the Thevenin equivalent of the circuit 5

Look at the power developed in the load ECE 201 Circuit Theory I 6

Look at the power developed in the load ECE 201 Circuit Theory I 6

Find the value of Rload that maximizes power ECE 201 Circuit Theory I 7

Find the value of Rload that maximizes power ECE 201 Circuit Theory I 7

The maximum power delivered to the load ECE 201 Circuit Theory I 8

The maximum power delivered to the load ECE 201 Circuit Theory I 8

Example 1 a) Find the value of RL for maximum power transfer to RL.

Example 1 a) Find the value of RL for maximum power transfer to RL. ECE 201 Circuit Theory I 9

Determine the Thevenin Equivalent ECE 201 Circuit Theory I 10

Determine the Thevenin Equivalent ECE 201 Circuit Theory I 10

Maximum Power Transfer RTH = RL = 25Ω ET 101 ELECTRICAL TECHNOLOGY 11

Maximum Power Transfer RTH = RL = 25Ω ET 101 ELECTRICAL TECHNOLOGY 11

Example 1. 1 continued • b) Calculate the maximum power that can be delivered

Example 1. 1 continued • b) Calculate the maximum power that can be delivered to RL. ECE 201 Circuit Theory I 12

Example 2 continued • What percentage of the power delivered by the 360 V

Example 2 continued • What percentage of the power delivered by the 360 V source reaches RL? + Isource Vab - ECE 201 Circuit Theory I 13

Example 2 continued • Percentage of source power delivered to the load ECE 201

Example 2 continued • Percentage of source power delivered to the load ECE 201 Circuit Theory I 14

Exercise ; i. The source in Figure 1 has an internal source resistance of

Exercise ; i. The source in Figure 1 has an internal source resistance of 75Ω. Determine The load power for each of the following values of load resistances ; a) 25Ω b) 50Ω c) 75Ω d) 100Ω e) 125Ω Draw a graph showing the load power versus the load resistance. RS = 75Ω RL VS=10 V + 15 Figure 1