3. The plot shown in figure P3 below relates the operating frequency to the total power losses (due to
hysteresis and eddy currents combined) per kilogram of core mass for a particular material used in
laminated transformer construction. As indicated in figure P3, the material is 0.356 [mm] thick electrical
sheet steel. Compute the total core power loss, $P_e$, for a core constructed in an El configuration with the
material represented by the plot if:
a. the total core volume is $V_e = 0.009$ [$m^3$],
b. the stacking factor is $SF = 0.90$,
c. the M-36 sheet steel density is $d = 7.70$ [$g/cm^3$],
d. the transformer operates at a frequency of $f = 100$ [Hz], and
e. the maximum flux density in the core is $B_{max} = 0.7$ [T].
$P_c$ W/kg
20
10
1
0.1
10
20
50 100
200
500 1000 2000 5000 10,000
$f$, Hz
$B$, tesla
1.0 0.7 0.5 0.3
0.1
100
Total Core Losses for M-36, 0.356 [mm] Electrical Sheet Steel
Figure P3
