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hw2 - tions of all currents and voltages b For this system...

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ECE 610 -HW#2, Due September 9, 2011 1) Problems 4, 5, and 6 of KWS. 2) a) Given the following input currents on windings 1 and 2 of the transformer given above, plot the voltage seen at the voltmeter. Include magnitude and time scales. b) Plot the voltage if you would reverse the direction coil 2 is wound. 3) A system with 2 windings has a flux linkage versus current profile of Table 1: Transformer Parameters (cross sectional area) m (mean length of mate- rial) Wb/A*m N1 + - Figure 1 N2 v 1 i 1 r 1 v 2 + i 2 - r 2 Voltmeter N3 N1 N2 (very large impedance) + - v 3 N 1 200 = N 2 150 = N 3 100 = A t 0.002 = m 2 l t 0.128 = μ r 2000 = u o 4 π 10 7 = r 1 0.5 = r 2 0.5 = i 1 2 π t ( 29 sin = i 2 4 3 ( 29 2 π t ( 29 sin = λ 1 0.1 0.03 x ---------- + i 1 0.01 x --------- i 2 = λ 2 0.0111 0.03 9 x ---------- + i 2 0.01 x --------- i 1 =
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The resistance of he coils are and , respectively. The voltage equations are expressed in a form: a) Draw the T-equivalent circuit model for this system. Show all component values. Label direc-
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Unformatted text preview: tions of all currents and voltages. b) For this system, describe 2 conditions under which you cannot make the approximation that . 4) Simulation : Due September 16th:. Using Simulink, model a single-phase transformer using the C-H Thomas Form. The parameters of the transformer are: Rated input voltage = 120 V (rms). Rated secondary voltage = 240 V (rms). Rated power = 1.5 kVA. Rated frequency = 60 Hz. , , , , . Model a load that represents a 1.5 kVA load (at 0.8 pf). Compare the steady-state currents obtained from an ana-lytical model with that obtained from simulation. r 1 1 = Ω r 2 0.3 = Ω v 1 r 1 i 1 p λ 1 + = v 2 r 2 i 2 p λ 2 + = I 1 I 2 ′ – = r 1 0.25 = Ω r 2 ′ 0.134 = Ω X l 1 0.056 = Ω X l 2 ′ 0.056 = Ω X m 1 708.8 = Ω...
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