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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalPower System
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Which factor to be considered while designing the foundation of electrical machines?

A

Height

B

Weight

C

A and B

D

Resonance

Correct Answer

Concept & PrincipleElectricalPower System
Option D

Resonance

Quick Summary: Resonance is the most critical factor to consider when designing the foundation of electrical machines because machine vibrations can coincide with the natural frequency of the foundation-soil system. If the excitation frequency of the machine matches the natural frequency of the foundation, resonance occurs, leading to high-amplitude vibrations that can cause catastrophic structural failure.

💡 Explanation

Resonance is the most critical factor to consider when designing the foundation of electrical machines because machine vibrations can coincide with the natural frequency of the foundation-soil system. If the excitation frequency of the machine matches the natural frequency of the foundation, resonance occurs, leading to high-amplitude vibrations that can cause catastrophic structural failure.

🔢 Key Formulas

fn=12πkmf_n = \frac{1}{2\pi} \sqrt{\frac{k}{m}}fn​=2π1​mk​​ — Natural frequency of the foundation system, where kkk is stiffness and mmm is the mass.

ωn=km\omega_n = \sqrt{\frac{k}{m}}ωn​=mk​​ — Natural angular frequency in radians per second.

⚙️ Working Principle

All foundations have a natural frequency fnf_nfn​ determined by their mass, stiffness (kkk), and damping characteristics. Electrical machines, especially rotating ones, produce dynamic forces at an operating frequency fef_efe​. When fef_efe​ approaches fnf_nfn​, the amplitude of vibration increases significantly due to the magnification factor in the vibration transmissibility curve. The foundation must be designed such that the operating frequency is kept away from the natural frequency of the system, typically by maintaining a ratio fefn\frac{f_e}{f_n}fn​fe​​ significantly different from 1.

📌 Key Points
  • ▸

    Dynamic loads from rotating machinery create cyclical forces that must be isolated.

  • ▸

    Soil-foundation interaction plays a key role in defining the system's overall stiffness.

  • ▸

    Damping is intentionally introduced to limit vibration amplitude during start-up or shut-down cycles where fef_efe​ might pass through fnf_nfn​.

  • ▸

    Height and weight are design constraints, but resonance is the primary safety and stability criterion.

✅ Advantages
  • ▸

    Prevents structural fatigue and damage to machinery bearings.

  • ▸

    Improves the operational lifespan of the machine installation.

  • ▸

    Reduces transmission of ground-borne vibrations to nearby sensitive equipment.

❌ Disadvantages / Limitations
  • ▸

    Complex soil analysis is required for accurate frequency estimation.

  • ▸

    Increased construction costs to achieve required stiffness and mass.

🛠️ Applications / Uses
  • ▸

    High-speed rotating machines (Turbines, Generators).

  • ▸

    Reciprocating compressors and engines.

  • ▸

    Large-scale industrial centrifugal pumps.

📄 Additional Information
  • ▸

    Standard industrial practice requires the operating speed to be at least 20-25% away from the natural frequency.

  • ▸

    Option B (Weight) is important for static stability, but dynamic resonance is the critical failure mode for machine foundations.

📊 Diagram / Illustration
Resonance Condition
Machine Excitation Frequency (fef_efe​)
Foundation Natural Frequency (fnf_nfn​)
Avoid: fe≈fnf_e \approx f_nfe​≈fn​
✅

D is correct — resonance must be avoided to prevent excessive vibration amplitude that could lead to structural failure of the machine foundation.

Core Concepts Used
Click any tag to open in AI Tutor
Vibration Analysis Natural Frequency Dynamic Loading Structural Dynamics
💡 EXAM TIP

Always remember that in civil/mechanical aspects of electrical engineering, avoid matching system excitation frequencies with the structural natural frequency to prevent resonance-induced fatigue.

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