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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
Back to Practice Questions
ElectricalMachine
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When a constant power output is desired to maintain ________

A

Ebsin⁡\sinsinδ is to be maintained constant

B

Iacos⁡\coscosθ is to be maintained constant

C

Ebsin⁡\sinsinδ and Iacos⁡\coscosθ are to be maintained constant

D

Ebsin⁡\sinsinδ and Iasin⁡\sinsinθ are to be maintained constant

Correct Answer

⚙️ TE • Technical Concept & PrincipleElectricalMachine
Option C

Ebsin⁡\sinsinδ and Iacos⁡\coscosθ are to be maintained constant

Quick Summary:

The correct answer is C, which states that both Ebsin⁡δE_b \sin \deltaEb​sinδ and Iacos⁡θI_a \cos \thetaIa​cosθ are to be maintained constant when a constant power output is desired in synchronous motors. This is essential for stable and efficient operation of the motor.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

The correct answer is C, which states that both Ebsin⁡δE_b \sin \deltaEb​sinδ and Iacos⁡θI_a \cos \thetaIa​cosθ are to be maintained constant when a constant power output is desired in synchronous motors. This is essential for stable and efficient operation of the motor.

🔢 Key Formulas

P=EbIasin⁡δP = E_b I_a \sin \deltaP=Eb​Ia​sinδ — represents the power generated in synchronous motors.

δ\deltaδ = torque angle

⚙️ Working Principle

In synchronous motors, EbE_bEb​ represents the back electromotive force, while IaI_aIa​ is the armature current. To achieve constant power output, the torque must remain stable, which requires maintaining these two parameters constant, ensuring that the power produced matches the power absorbed by the load.

📌 Key Points
  • ▸

    Synchronous motors operate at constant speed under normal operation.

  • ▸

    Power output is a function of both the back EMF and the current flowing through the armature.

✅ Advantages
  • ▸

    High efficiency and performance at rated load.

  • ▸

    Ability to control power factor through excitation.

❌ Disadvantages / Limitations
  • ▸

    Requires additional equipment for starting.

  • ▸

    Sensitive to load variations.

🛠️ Applications / Uses
  • ▸

    Used in industrial drives requiring high efficiency.

  • ▸

    Power plants for synchronous generation.

📄 Additional Information
  • ▸

    Standard value or specification includes maintaining voltage levels to ensure operational efficiency.

  • ▸

    Option A is incorrect as it mentions only Ebsin⁡δE_b \sin δEb​sinδ. Option B is incorrect as it mentions only Iacos⁡θI_a \cos θIa​cosθ. Option D contains an incorrect trigonometric function for armature current.

📊 Diagram / Illustration
Synchronous Motor Power OutputEb sin δIa cos θ
✅

C is correct — both Ebsin⁡δE_b \sin \deltaEb​sinδ and Iacos⁡θI_a \cos \thetaIa​cosθ must be maintained constant to ensure stable power output in synchronous motors.

Core Concepts Used
Click any tag to open in AI Tutor
Constant power operation in synchronous machinery. Understanding of torque angle and its impact on performance. Role of back EMF in synchronous motors.
💡 EXAM TIP

In power systems, understanding the power factor and torque angle can significantly enhance your ability to solve related problems in synchronous machines.

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