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Unformatted text preview: LECTURE 3. AC NETWORK ANALYSIS MAE307 Applied Electronics © Inkyu Park, 2010 Instructor: Prof. Inkyu Park Department of Mechanical Engineering Korea Advanced Institute of Science and Technology (KAIST) Review of Lecture #2 MAE307 Applied Electronics © Inkyu Park, 2010 Node Voltage Method Select one of the node as the reference node (usually ground). Define the voltage at each node as “independent variables”. Use the Ohm’s law to determine the current along the branch between nodes. Apply Kirchoff’s Current Law (KCL) at each node . MAE307 Applied Electronics © Inkyu Park, 2010 Mesh Current Method Identify the meshes in the circuit and assign the current flowing in each mesh . Apply Kirchoff’s Voltage Law (KVL) for each mesh. Mesh 1 ∆V across R 1 MAE307 Applied Electronics © Inkyu Park, 2010 ) ( 2 2 1 1 1 = R i i R i v s source Current through R 2 is (i 1i 2 ),not i 1 ∆V across R 2 Mesh 2 ) ( 4 2 3 2 2 1 2 = + + R i R i R i i ∆V across R 2 ∆V across R 3 ∆V across R 4 Be consistent when assigning the direction of current. (CCW or CW) s v i R i R R = + 2 2 1 2 1 ) ( ) ( 2 4 3 2 1 2 = + + + i R R R i R The Principle of Superposition In LINEAR* circuit that contains N sources, each branch voltage and current is the sum of N voltages and currents (i.e. sum of the results from N independent sources). Each set of these voltages and currents can be computed by setting only one (voltage or current) source ON and all others ZERO (i.e. OFF) and solving the circuit containing that single source. MAE307 Applied Electronics © Inkyu Park, 2010 * Linearity of system Additivity : f (x+y) = f (x) + f (y) Homogeneity : f (αx) = α f(x) The Principle of Superposition Setting the Voltage source equal to zero : replace w/ a short circuit MAE307 Applied Electronics © Inkyu Park, 2010 Setting the Current source equal to zero : replace w/ a open circuit Thevenin and Norton Equivalent Circuits The source circuits can be viewed as the equivalent circuits with either voltage source + R (serially connected) or current source + R (parallelly connected). Thevenin Theorem When viewed from the load, any network composed of ideal voltage and current sources, and of linear resistors, may be represented by an equivalent circuit consisting of an ideal voltage source v T in series with an equivalent resistance R T . MAE307 Applied Electronics © Inkyu Park, 2010 Norton Theorem When viewed from the load, any network composed of ideal voltage and current sources, and of linear resistors, may be represented by an equivalent circuit consisting of an ideal current source i N in parallel with an equivalent resistance R N . Outline Energy Storage Circuit Elements A. Capacitor B. Inductor Time Dependent Signal Sources Solution of Circuits Containing Energy Storage Elements Phasor Solution of Circuits with Sinusoidal Excitation AC Circuit Analysis Methods MAE307 Applied Electronics © Inkyu Park, 2010 Energy Storage Circuit Elements Resistor: Energy dissipation element...
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This note was uploaded on 11/21/2010 for the course MECHANICAL mae302 taught by Professor Jang during the Spring '10 term at Seoul National.
 Spring '10
 jang
 Mechanical Engineering

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