Question

Transformer Parameter Extraction R2 N. Ideal Figure 5 Pre-Lab The equivalent circuit of a transformer can be represented as in Figure 5. 1. 2. 3. Provide the name of the tests to be done to extract the equivalent circuit parameters. Derive the equations needed to calculate the parameters. Get the equations and procedure checked by the TA

Answer 1

Given that the equivalent circuit of a transfer can be represented as in figure 5 Provide the name of the test to be done to extract the equivalent circuit parameters. to calculate shunt branch parameters (R_c, x_m) we have perform open circuit test (oc test) rightarrow to calculate genies parameters (R_1, R_2, x_1 x_2) we have perform short circuit test (sc test) derive the equations needed to calculate parameters. open circuit test from above test meter readings \r\n cos Phi = w_0c/v_0 c I Phi = cos^-1(w_0c/v_0c I) R_e = v_oc^2/w_0c x_0 = v_0c/squareroot I_0^2 I_c^2 = v_0/I_m I_e = I_0 cos Phi I_m = I_0 sin Phi short circuit test watt meter reading w_sc voltmeter reading v_sc Ammeter reading v_sc Ammeter reading I_sc z_eq = v_sc/I_sc R_eq = w_sc/I_sc^2 (k = n_2/n_1 Transformation ratio) x_eq = squareroot z^2_eq R^2eq R_eq = R_1 + R_2/K^2 = w_sc/I^2_sc x_eq = x_1 + x_2/k^2 = squareroot z_eq^2, k_eq^2