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A 20kw 230 v dc shunt motor has armature circuit resistance of 0.4ohms and field circuit resistance of 230ohms at no load and rated voltage the motor run at 1500rpm and the line current drawn by the motor is 5A at full load the motor draws a line current of 70A neglect armature reaction the full load speed of motor in rpm is?
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A 20kw 230 v dc shunt motor has armature circuit resistance of 0.4ohms...
Calculation of Full Load Speed of 20kW 230V DC Shunt Motor

Given Parameters:
- Power (P) = 20kW
- Voltage (V) = 230V
- Armature circuit resistance (Ra) = 0.4Ω
- Field circuit resistance (Rf) = 230Ω
- No Load Speed (N0) = 1500 rpm
- Line Current at No Load (I0) = 5A
- Line Current at Full Load (IL) = 70A

Step 1: Calculation of Armature Current (Ia) at Full Load

Ia = IL
Ia = 70A

Step 2: Calculation of Field Current (If) at Full Load

If = V / Rf
If = 230 / 230
If = 1A

Step 3: Calculation of Total Current (It) at Full Load

It = Ia + If
It = 70 + 1
It = 71A

Step 4: Calculation of Full Load Torque (T)

T = (P * 60) / (2 * π * N)
T = (20000 * 60) / (2 * π * 1500)
T = 63.66 Nm

Step 5: Calculation of Armature Resistance Drop (IaRa)

IaRa = Ia * Ra
IaRa = 70 * 0.4
IaRa = 28V

Step 6: Calculation of Terminal Voltage (Vt)

Vt = V - IaRa
Vt = 230 - 28
Vt = 202V

Step 7: Calculation of Full Load Speed (N)

N = (Vt / K) - ((T * K) / K^2)
where, K = (2 * π * N) / 60

Let's assume N = 1500 rpm (No Load Speed) to start the calculation.

K = (2 * π * 1500) / 60
K = 157.08

Substituting the values in the above equation, we get:

1500 = (202 / 157.08) - ((63.66 * 157.08) / 157.08^2)
1500 = 1.285 - (1.087)
1500 = 0.198
This value is not the correct answer.

We need to repeat the above calculation by assuming a different value of N. We can use trial and error method to get the correct answer.

Let's try assuming N = 1400 rpm.

K = (2 * π * 1400) / 60
K = 146.67

Substituting the values in the above equation, we get:

1400 = (202 / 146.67) - ((63.66 * 146.67) / 146.67^2)
1400 = 1.379 - (0.964)
1400 = 0.415
This value is not the correct answer.

We can repeat the above calculation by assuming different values of N until we get the correct
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A 20kw 230 v dc shunt motor has armature circuit resistance of 0.4ohms and field circuit resistance of 230ohms at no load and rated voltage the motor run at 1500rpm and the line current drawn by the motor is 5A at full load the motor draws a line current of 70A neglect armature reaction the full load speed of motor in rpm is?
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A 20kw 230 v dc shunt motor has armature circuit resistance of 0.4ohms and field circuit resistance of 230ohms at no load and rated voltage the motor run at 1500rpm and the line current drawn by the motor is 5A at full load the motor draws a line current of 70A neglect armature reaction the full load speed of motor in rpm is? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 20kw 230 v dc shunt motor has armature circuit resistance of 0.4ohms and field circuit resistance of 230ohms at no load and rated voltage the motor run at 1500rpm and the line current drawn by the motor is 5A at full load the motor draws a line current of 70A neglect armature reaction the full load speed of motor in rpm is? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 20kw 230 v dc shunt motor has armature circuit resistance of 0.4ohms and field circuit resistance of 230ohms at no load and rated voltage the motor run at 1500rpm and the line current drawn by the motor is 5A at full load the motor draws a line current of 70A neglect armature reaction the full load speed of motor in rpm is?.
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