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ElectricalPower System
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The pu synchronous reactance X (at rated MVA) of a turbo alternator comes in the range of

A

to 5

B

25 to 0.90

C

20 to 30

D

to 2

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalPower System
Option D

to 2

Quick Summary:

The per-unit (pu) synchronous reactance XsX_sXsтАЛ of a turbo alternator typically ranges from 0.5 to 2.0. Turbo alternators feature cylindrical rotors with a small air gap, leading to higher leakage reactance compared to salient pole machines.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The per-unit (pu) synchronous reactance XsX_sXsтАЛ of a turbo alternator typically ranges from 0.5 to 2.0. Turbo alternators feature cylindrical rotors with a small air gap, leading to higher leakage reactance compared to salient pole machines.

ЁЯФв Key Formulas

Xs=Xl+XaX_s = X_l + X_aXsтАЛ=XlтАЛ+XaтАЛ тАФ Where XlX_lXlтАЛ is leakage reactance and XaX_aXaтАЛ is armature reaction reactance

Xs(pu)=Isc┬аat┬аrated┬аvoltageIratedX_s(pu) = \frac{I_{sc} \text{ at rated voltage}}{I_{rated}}XsтАЛ(pu)=IratedтАЛIscтАЛ┬аat┬аrated┬аvoltageтАЛ тАФ Definition based on Short Circuit Ratio (SCR)

тЪЩя╕П Working Principle

The synchronous reactance XsX_sXsтАЛ represents the sum of leakage reactance XlX_lXlтАЛ and armature reaction reactance XaX_aXaтАЛ. In high-speed turbo alternators (typically 2-pole or 4-pole), the rotor design restricts the physical dimensions, leading to higher flux density and a relatively higher reactance value compared to low-speed machines.

ЁЯУМ Key Points
  • тЦ╕

    Turbo alternators are high-speed machines with cylindrical rotors.

  • тЦ╕

    Low Short Circuit Ratio (SCR) is characteristic of high-reactance turbo alternators.

  • тЦ╕

    Synchronous reactance directly influences the voltage regulation and stability of the generator.

  • тЦ╕

    The typical range is 0.5 pu to 2.0 pu.

тЬЕ Advantages
  • тЦ╕

    High reactance limits short-circuit currents during faults.

  • тЦ╕

    Improved stability during sudden load changes in large power systems.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Higher reactance leads to poorer voltage regulation.

  • тЦ╕

    Reduced synchronizing power compared to low-reactance machines.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Large-scale base-load power generation.

  • тЦ╕

    Thermal and nuclear power plants.

ЁЯУД Additional Information
  • тЦ╕

    The term 'pu' (per-unit) normalizes the machine parameters, making them independent of the machine rating.

  • тЦ╕

    Salient pole machines (hydro-generators) typically have higher values (0.6 to 1.5) compared to turbo-alternators because of their physical construction.

ЁЯУК Diagram / Illustration
Synchronous Reactance FormulaXтВЫ = XтВЧ + XтВРXтВЫ: Synchronous Reactance (pu)
тЬЕ

D is correct тАФ The per-unit synchronous reactance of a turbo alternator typically lies between 0.5 and 2.0.

Core Concepts Used
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Synchronous Reactance Turbo Alternator Construction Short Circuit Ratio (SCR) Per-unit System
ЁЯТб EXAM TIP

Always remember that SCR=1Xs(pu)SCR = \frac{1}{X_s(pu)}SCR=XsтАЛ(pu)1тАЛ. Since SCRSCRSCR for turbo alternators is usually 0.50.50.5 to 0.70.70.7, their XsX_sXsтАЛ is mathematically inferred to be in the 1.51.51.5 to 2.02.02.0 range.

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