THEVENIN THEOREM & NORTON

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Presentation transcript:

THEVENIN THEOREM & NORTON Lecture 06 THEVENIN THEOREM & NORTON

OBJECTIVES Apply Thevenin’s theorem to simplify AC circuits for analysis. List the steps for determining the Thevenin Equivalent of an actual electronic circuit. Using Thevenin’s theorem, analyze complex series-parallel circuits with multiple load values. Calculate the average power dissipated by a load.

THÉVENIN’S THEOREM Used to reduce an AC circuit to a single voltage source “VTH” in series with a single Impedance “ZTH “

THEVENIN VOLTAGE “VTH” is: the “Open Circuit Voltage” measured across the load, with the load removed.

THEVENIN IMPEDANCE “ZTH ” is: the “Total Equivalent Impedance” of the circuit as seen from the load position with the load removed and all sources zeroed.

Steps for Thevenin circuit Step 1: Open the two terminals between which you want to find the Thevenin circuit. Step 2: Determine the voltage across the terminals. Step 3: Determine the impedance viewed from the terminals with all sources zeroed. Step 4: Connect VTH and ZTH in series to produce the Thevenin Equivalent circuit.

Step 5: Redraw the Thevenin equivalent circuit as a single Impedance “ZTH” in series with the load impedance “ZL” and voltage source “ETH”.

Ex: Calculate the Thévenin Equivalent circuit. Given: Vs = 25<0 V; R1 = 100Ω ; R2 = 25 Ω; RL = 1kΩ, XL = 80 Ω, f = 509 Hz

Solution: Find VTH

Calculate VTH (open circuit)

Find ZTH

Calculate ZTH

Draw Thevenin equivalent circuit

Ex: NORTON THEOREM

STEP 1: Find ZN = ZTH

Calculate ZN = ZTH

STEP 2: Find IN = Isc

Calculate IN = Isc Note that,

Equation for Mesh 1

Equation for Mesh 2

Calculate IN

Norton Equivalent Circuit

NORTON THEOREM

THEVENIN THEOREM

RELATIONSHIP Keep in mind that the two equivalent circuits (Thevenin and Norton) are related as:

RELATIONSHIP