Question

A 200 -VDC shunt motor with an armature resistance of $0.1 \Omega$ and a field resistance of $100 \Omega$ draws a line current of 5 A when running with no load at $955 \mathrm{r} / \mathrm{min}$. Determine the motor speed, the motor efficiency, the total losses (i.e., rotational and $I^2 R$ losses), and the load torque $T_{\mathrm{sh}}$ that will result when the motor draws 40 A from the line. Assume rotational power losses are proportional to the square of shaft speed.

   A 200 -VDC shunt motor with an armature resistance of $0.1 \Omega$ and a field resistance of $100 \Omega$ draws a line current of 5 A when running with no load at $955 \mathrm{r} / \mathrm{min}$. Determine the motor speed, the motor efficiency, the total losses (i.e., rotational and $I^2 R$ losses), and the load torque $T_{\mathrm{sh}}$ that will result when the motor draws 40 A from the line. Assume rotational power losses are proportional to the square of shaft speed.
 
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Principles and Applications of Electrical Engineering
Principles and Applications of Electrical Engineering
Giorgio Rizzoni,… 7th Edition
Chapter 15, Problem 13 ↓
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A 200 -VDC shunt motor with an armature resistance of $0.1 \Omega$ and a field resistance of $100 \Omega$ draws a line current of 5 A when running with no load at $955 \mathrm{r} / \mathrm{min}$. Determine the motor speed, the motor efficiency, the total losses (i.e., rotational and $I^2 R$ losses), and the load torque $T_{\mathrm{sh}}$ that will result when the motor draws 40 A from the line. Assume rotational power losses are proportional to the square of shaft speed.
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consider-a-shunt-connceted-de-motor-that-has-the-magnctization-curve-shown-in-figure-1619-on-page-78

Consider a shunt-connceted de motor that has the magnctization curve shown in Figure 16.19 on page $786 .$ The de supply voltage is $V_{T}=200 \mathrm{V},$ the armature resistance is $R_{A}=0.085 \Omega,$ the field resistance is $R_{F}=10 \Omega$, and the adjustable resistance is $R_{\mathrm{ad}}=2.5 \Omega$. At a speed of $1200 \mathrm{rpm}$ the rotational loss is $P_{\text {tot }}=1000 \mathrm{W}$. If this motor drives a load that demands a torque of $T_{\text {out }}=200 \mathrm{Nm}$ independent of speed determine the motor speed and efficiency.

Electrical Engineering: Principles and Applications


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00:01 In this problem calculating the value of if first, so it is equal to vt by rf plus r r adjust which is equal to 200 by 10 plus 2 .5 which is equal to 16a.
00:16 Now i can draw the graph something like this just look at it carefully.
00:22 I'm drawing the round 2, 4, 6, 8, 10, 12, 14 16 18 and in this side 40 80 120 160 dot o dot 3 30 30 30 30 3 20 here so the graph will something like this just look at it carefully this will be the graph which i am drawing here.
01:26 So this will be the graph between i .f and ea.
01:34 Going forward and simplifying it further...
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