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A synchronous motor operating at rated voltage draws 1.0 pu current at 1.0 power factor . the machine parameters are synchronous reactance 1.0 pu armature resistance negligible . Apart from supplying this rated power if the motor has to supply an additional reactive power of o.8 pu then the field current has to be increased by?
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A synchronous motor operating at rated voltage draws 1.0 pu current at...
Question: What is the increase in field current required for a synchronous motor operating at rated voltage to supply an additional reactive power of 0.8 pu?
Solution:
Given:
Steps to Find the Increase in Field Current:
Answer: The increase in field current required for the synchronous motor to supply an additional reactive power of 0.8 pu is -V^2 + 0.0265.
Solution:
Given:
- Synchronous reactance = 1.0 pu
- Armature resistance = negligible
- Rated voltage = V
- Rated current = I = 1.0 pu
- Power factor = 1.0
- Additional reactive power = 0.8 pu
Steps to Find the Increase in Field Current:
- Calculate the rated apparent power of the motor.
S = V*I = V*1.0 = V pu - Calculate the rated active power of the motor.
P = S*power factor = V*1.0 = V pu - Calculate the rated reactive power of the motor.
Q = sqrt(S^2 - P^2) = sqrt(V^2 - V^2) = sqrt(0) = 0 pu - Calculate the total reactive power that the motor has to supply.
Q_total = Q + additional reactive power = 0 + 0.8 = 0.8 pu - Calculate the field current required to supply the additional reactive power using the formula:
Q_total = (3*V^2*E_f)/(2*pi*f*X_s)
Where E_f is the field voltage, f is the frequency, and X_s is the synchronous reactance.
E_f = (2*pi*f*X_s*Q_total)/(3*V^2) = (2*pi*50*1.0*0.8)/(3*V^2) = 0.0265/V - Calculate the increase in field current required using the formula:
delta(I_f) = (E_f - E_rated)/X_s
Where E_rated is the rated field voltage.
E_rated = V/X_s = V/1.0 = V
delta(I_f) = (0.0265/V - V)/1.0 = -V^2 + 0.0265
Answer: The increase in field current required for the synchronous motor to supply an additional reactive power of 0.8 pu is -V^2 + 0.0265.
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A synchronous motor operating at rated voltage draws 1.0 pu current at 1.0 power factor . the machine parameters are synchronous reactance 1.0 pu armature resistance negligible . Apart from supplying this rated power if the motor has to supply an additional reactive power of o.8 pu then the field current has to be increased by?
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A synchronous motor operating at rated voltage draws 1.0 pu current at 1.0 power factor . the machine parameters are synchronous reactance 1.0 pu armature resistance negligible . Apart from supplying this rated power if the motor has to supply an additional reactive power of o.8 pu then the field current has to be increased by? 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 synchronous motor operating at rated voltage draws 1.0 pu current at 1.0 power factor . the machine parameters are synchronous reactance 1.0 pu armature resistance negligible . Apart from supplying this rated power if the motor has to supply an additional reactive power of o.8 pu then the field current has to be increased by? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A synchronous motor operating at rated voltage draws 1.0 pu current at 1.0 power factor . the machine parameters are synchronous reactance 1.0 pu armature resistance negligible . Apart from supplying this rated power if the motor has to supply an additional reactive power of o.8 pu then the field current has to be increased by?.
A synchronous motor operating at rated voltage draws 1.0 pu current at 1.0 power factor . the machine parameters are synchronous reactance 1.0 pu armature resistance negligible . Apart from supplying this rated power if the motor has to supply an additional reactive power of o.8 pu then the field current has to be increased by? 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 synchronous motor operating at rated voltage draws 1.0 pu current at 1.0 power factor . the machine parameters are synchronous reactance 1.0 pu armature resistance negligible . Apart from supplying this rated power if the motor has to supply an additional reactive power of o.8 pu then the field current has to be increased by? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A synchronous motor operating at rated voltage draws 1.0 pu current at 1.0 power factor . the machine parameters are synchronous reactance 1.0 pu armature resistance negligible . Apart from supplying this rated power if the motor has to supply an additional reactive power of o.8 pu then the field current has to be increased by?.
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