Maximum Power Transfer

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Presentation transcript:

Maximum Power Transfer The end of this lesson, students should be able to : State Maximum transfer theorem Describe the following ; The maximum power transfer based on circuit diagram. The power versus load resistance graph Determine the load needed for maximum power transfer to a circuit ET101 ELECTRICAL TECHNOLOGY

ET101 ELECTRICAL TECHNOLOGY 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 ET101 ELECTRICAL TECHNOLOGY

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? ET101 ELECTRICAL TECHNOLOGY

General Case (continued) ET101 ELECTRICAL TECHNOLOGY

Take the Thevenin equivalent of the circuit

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

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

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

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

Determine the Thevenin Equivalent ECE 201 Circuit Theory I

ET101 ELECTRICAL TECHNOLOGY Maximum Power Transfer RTH = RL = 25Ω ET101 ELECTRICAL TECHNOLOGY

Example 1.1 continued b) Calculate the maximum power that can be delivered to RL. ECE 201 Circuit Theory I

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

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

i. The source in Figure 1 has an internal source resistance 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 ; 25Ω 50Ω 75Ω 100Ω 125Ω Draw a graph showing the load power versus the load resistance. RS = 75Ω + - VS=10V Figure 1 RL