3-Lesson_Notes_Lecture_28

# 3-Lesson_Notes_Lecture_28 - EE 204 Lecture 28 Maximum Power...

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EE 204 Lecture 28 Maximum Power Transfer in Sinusoidal Circuits Important Note: It is customary in power engineering to refer to “average power”, using the single word “power”. In this course, whenever we deal with sinusoidal circuits, the term “power” will be understood to mean “average power”. Maximum Power Transfer in Sinusoidal Circuits: Given the Thevenin’s Equivalent Circuit (TEC) [ th V in series with th Z ], what value of load impedance L Z results in maximum power absorption? th V L Z th Z Figure 1 It can be shown (no proof is given) that maximum power is absorbed by L Z if the following condition is satisfied: L th Z Z = ( L Z = the complex conjugate of th Z ) th V th Z * = L th Z Z Figure 2 Which means that:

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() L Lt h t h t h R jX R jX R jX +=+ = The above equation leads to the following conditions: L th R R = [Load resistance = Thevenin’s resistance] L th XX =− [Load reactance = Minus the Thevenin’s reactance] = L th th Z Rj X th V = + th th th Z X Figure 3 The maximum power transferred to L Z can be obtained as follows: th th th t h L t h t ht h VV V I ZZ X X ∗∗ === ++ + + + ( ) ( ) 2 th th th th th th th th th
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3-Lesson_Notes_Lecture_28 - EE 204 Lecture 28 Maximum Power...

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