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Equations used in the ideal transformer model (V and I are RMS phasor magnitudes

ID: 1995878 • Letter: E

Question

Equations used in the ideal transformer model (V and I are RMS phasor magnitudes): V_1/V_2 = N_1/N_2 I_1/I_2 = N_2/N_1 Z_1/Z_2 = (N_1/N_2)^2 For the circuit in Figure 1, make the following assumptions: Turns ratio N_1:N_2 = 10:1 R_P = 800 (primary winding resistance) R_S = 20 (secondary winding resistance) Source voltage V_rms = 1V. Part 1: Assume Z_L = 10 ohm. Find the value of Z_L when reflected into the primary, and calculate the current in the primary. Part 2: Calculate the Thevenin equivalent impedance (Z_th) at the terminals marked A and B on Figure 1: add together the values of R(series), R_p, and the reflected value of R_s. Assume R_g = 0. Find the value of Z_L that, when reflected into the primary, allows maximum power transfer to Z_L (the reflected value of Z_L must equal Z_th).

Explanation / Answer

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As your lab is not yet completed the following information regarding transformer may help you..

We know that, Transformer always rated in kVA.  Below are the two simple formulas to find the rating of Single phase and Three phase Transformers.

Find Rating of Single Phase Transformer

Rating of Single Phase Transformer:

P = V x I.

Rating of a single phase transformer in kVA

kVA= (V x I) / 1000

Rating of a Three Phase Transformer

Rating of a Three Phase Transformer:

P = 3. V x I

Rating of a Three phase transformer in kVA

kVA = (3. V x I) /1000