Page 40 - Solutions Manual to accompany Electric Machinery Fundamentals
P. 40

% Calculate the full-load current
                 i_fl = S / Vrms;

                 % Calculate the percentage of full-load current
                 percnt = irms / i_fl * 100;
                 disp(['The magnetization current is ' num2str(percnt) ...
                       '% of full-load current.']);

                 % Plot the magnetization current.
                 figure(1)
                 plot(time,im);
                 title ('\bfMagnetization Current at 120 V and 60 Hz');
                 xlabel ('\bfTime (s)');
                 ylabel ('\bf\itI_{m} \rm(A)');
                 axis([0 0.04 -0.5 0.5]);
                 grid on;

                 When this program is executed, the results are

                 » prob2_5a
                 The rms current at 120 V and 60 Hz is 0.31863
                 The magnetization current is 3.8236% of full-load current.
                 The rms magnetization current is 0.318 A.  Since the full-load current is 1000 VA / 120 V = 8.33 A, the
                 magnetization current is 3.82% of the full-load current.  The resulting plot is


























                 (b)  When this transformer is connected to a 240-V 50 Hz source, the flux in the core will be given by
                 the equation
                                                V
                                        (t )     M    cos     t
                                                N S

                 The magnetization current required for any given flux level can be found from Figure P2-2, or alternately
                 from the equivalent table in file p22_mag.dat.  The MATLAB program shown below calculates the
                 flux level at each time, the corresponding magnetization current, and the rms value of the magnetization
                 current.

                 % M-file: prob2_5b.m
                 % M-file to calculate and plot the magnetization
                 % current of a 120/240 transformer operating at
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