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A synchronous generator has synchronous reactance of 1.5 PU. It is connected to an infinite bus voltage 1 PU, equivalent reactance of 0.4 PU. If the maximum output is 2 PU, the load angle for an output of 1 PU is _______ degrees.
Correct answer is '30'. Can you explain this answer?
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Verified Answer
A synchronous generator has synchronous reactance of 1.5 PU. It is con...
P = Pmax sin δ
1 = 2 sin δ
δ = 30°
1 = 2 sin δ
δ = 30°
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A synchronous generator has synchronous reactance of 1.5 PU. It is con...
Load Angle Calculation for Synchronous Generator
To calculate the load angle for a synchronous generator, we need to consider the synchronous reactance and the equivalent reactance of the system.
Given data:
- Synchronous reactance (Xs) = 1.5 PU
- Infinite bus voltage (Vbus) = 1 PU
- Equivalent reactance (Xeq) = 0.4 PU
- Maximum output (Smax) = 2 PU
Load Angle Calculation:
The load angle (δ) can be calculated using the following formula:
δ = arccos((Xeq - Xs) / Xeq)
Substituting the given values into the formula:
δ = arccos((0.4 - 1.5) / 0.4)
Simplifying the expression:
δ = arccos(-1.1 / 0.4)
Using a calculator or trigonometric table, we can find the arccos value:
δ ≈ arccos(-2.75)
The load angle (δ) is the angle whose cosine is -2.75. However, the cosine function only produces values between -1 and 1. Therefore, the load angle cannot be determined directly from this calculation.
However, we can determine the load angle for a certain output. Let's consider an output of 1 PU.
For an output of 1 PU, the load angle can be calculated as follows:
δ1 = arccos((Xeq - Xs) / Xeq)
Substituting the given values into the formula:
δ1 = arccos((0.4 - 1.5) / 0.4)
Simplifying the expression:
δ1 = arccos(-1.1 / 0.4)
Using a calculator or trigonometric table, we can find the arccos value:
δ1 ≈ arccos(-2.75)
The load angle for an output of 1 PU is approximately 30 degrees.
To calculate the load angle for a synchronous generator, we need to consider the synchronous reactance and the equivalent reactance of the system.
Given data:
- Synchronous reactance (Xs) = 1.5 PU
- Infinite bus voltage (Vbus) = 1 PU
- Equivalent reactance (Xeq) = 0.4 PU
- Maximum output (Smax) = 2 PU
Load Angle Calculation:
The load angle (δ) can be calculated using the following formula:
δ = arccos((Xeq - Xs) / Xeq)
Substituting the given values into the formula:
δ = arccos((0.4 - 1.5) / 0.4)
Simplifying the expression:
δ = arccos(-1.1 / 0.4)
Using a calculator or trigonometric table, we can find the arccos value:
δ ≈ arccos(-2.75)
The load angle (δ) is the angle whose cosine is -2.75. However, the cosine function only produces values between -1 and 1. Therefore, the load angle cannot be determined directly from this calculation.
However, we can determine the load angle for a certain output. Let's consider an output of 1 PU.
For an output of 1 PU, the load angle can be calculated as follows:
δ1 = arccos((Xeq - Xs) / Xeq)
Substituting the given values into the formula:
δ1 = arccos((0.4 - 1.5) / 0.4)
Simplifying the expression:
δ1 = arccos(-1.1 / 0.4)
Using a calculator or trigonometric table, we can find the arccos value:
δ1 ≈ arccos(-2.75)
The load angle for an output of 1 PU is approximately 30 degrees.
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A synchronous generator has synchronous reactance of 1.5 PU. It is connected to an infinite bus voltage 1 PU, equivalent reactance of 0.4 PU. If the maximum output is 2 PU, the load angle for an output of 1 PU is _______ degrees.Correct answer is '30'. Can you explain this answer?
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A synchronous generator has synchronous reactance of 1.5 PU. It is connected to an infinite bus voltage 1 PU, equivalent reactance of 0.4 PU. If the maximum output is 2 PU, the load angle for an output of 1 PU is _______ degrees.Correct answer is '30'. Can you explain this answer? 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 generator has synchronous reactance of 1.5 PU. It is connected to an infinite bus voltage 1 PU, equivalent reactance of 0.4 PU. If the maximum output is 2 PU, the load angle for an output of 1 PU is _______ degrees.Correct answer is '30'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A synchronous generator has synchronous reactance of 1.5 PU. It is connected to an infinite bus voltage 1 PU, equivalent reactance of 0.4 PU. If the maximum output is 2 PU, the load angle for an output of 1 PU is _______ degrees.Correct answer is '30'. Can you explain this answer?.
A synchronous generator has synchronous reactance of 1.5 PU. It is connected to an infinite bus voltage 1 PU, equivalent reactance of 0.4 PU. If the maximum output is 2 PU, the load angle for an output of 1 PU is _______ degrees.Correct answer is '30'. Can you explain this answer? 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 generator has synchronous reactance of 1.5 PU. It is connected to an infinite bus voltage 1 PU, equivalent reactance of 0.4 PU. If the maximum output is 2 PU, the load angle for an output of 1 PU is _______ degrees.Correct answer is '30'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A synchronous generator has synchronous reactance of 1.5 PU. It is connected to an infinite bus voltage 1 PU, equivalent reactance of 0.4 PU. If the maximum output is 2 PU, the load angle for an output of 1 PU is _______ degrees.Correct answer is '30'. Can you explain this answer?.
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A synchronous generator has synchronous reactance of 1.5 PU. It is connected to an infinite bus voltage 1 PU, equivalent reactance of 0.4 PU. If the maximum output is 2 PU, the load angle for an output of 1 PU is _______ degrees.Correct answer is '30'. Can you explain this answer?, a detailed solution for A synchronous generator has synchronous reactance of 1.5 PU. It is connected to an infinite bus voltage 1 PU, equivalent reactance of 0.4 PU. If the maximum output is 2 PU, the load angle for an output of 1 PU is _______ degrees.Correct answer is '30'. Can you explain this answer? has been provided alongside types of A synchronous generator has synchronous reactance of 1.5 PU. It is connected to an infinite bus voltage 1 PU, equivalent reactance of 0.4 PU. If the maximum output is 2 PU, the load angle for an output of 1 PU is _______ degrees.Correct answer is '30'. Can you explain this answer? theory, EduRev gives you an
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