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ElectricalPower System
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saturated reactor will generate harmonics of the order of

A

16k┬▒116k \pm 116k┬▒1

B

9k┬▒19k \pm 19k┬▒1

C

18k┬▒118k \pm 118k┬▒1

D

20k┬▒120k \pm 120k┬▒1

Correct Answer

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

9k┬▒19k \pm 19k┬▒1

Quick Summary:

A saturated reactor, acting as a static VAR compensator, introduces non-linear magnetizing characteristics into the power system. Due to the symmetry of the saturation curve, the induced harmonic currents produced by the reactor follow the order h=9k┬▒1h = 9k \pm 1h=9k┬▒1 for a three-phase configuration utilizing specific transformer connections.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

A saturated reactor, acting as a static VAR compensator, introduces non-linear magnetizing characteristics into the power system. Due to the symmetry of the saturation curve, the induced harmonic currents produced by the reactor follow the order h=9k┬▒1h = 9k \pm 1h=9k┬▒1 for a three-phase configuration utilizing specific transformer connections.

ЁЯФв Key Formulas

h=9k┬▒1h = 9k \pm 1h=9k┬▒1 тАФ Generalized harmonic order for saturated reactors in three-phase configurations

тЪЩя╕П Working Principle

The reactor operates in the deep saturation region of its B-H curve, causing the flux linkage to be non-linear with respect to the magnetizing current. In a three-phase system, when using three single-phase saturated reactors or specific polyphase arrangements, the phase cancellation effects eliminate specific triplen harmonics, leaving only the 9k┬▒19k \pm 19k┬▒1 series (e.g., 8th, 10th, 17th, 19th harmonics).

ЁЯУМ Key Points
  • тЦ╕

    Saturated reactors are essentially non-linear inductors used for voltage control.

  • тЦ╕

    The generation of harmonics is a direct consequence of the non-linear relationship between flux and current in the iron core.

  • тЦ╕

    The 9k ┬▒ 1 series is specific to the magnetic circuit architecture of these reactors in FACTS applications.

тЬЕ Advantages
  • тЦ╕

    Provides continuous, fast-acting reactive power compensation.

  • тЦ╕

    Excellent for stabilizing voltage in weak transmission systems.

тЭМ Disadvantages / Limitations
  • тЦ╕

    High harmonic distortion necessitates the use of heavy filtering.

  • тЦ╕

    Significant noise and vibration due to magnetostriction in the core.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Static VARCompensation (SVC) in long distance transmission lines.

  • тЦ╕

    Voltage support in high-voltage industrial distribution grids.

ЁЯУД Additional Information
  • тЦ╕

    The 6k ┬▒ 1 series is typically associated with standard 6-pulse converter bridges.

  • тЦ╕

    The reactor must be designed to withstand high thermal stress due to harmonic currents.

ЁЯУК Diagram / Illustration
Saturated Reactor HarmonicsCharacteristic Harmonic Order (h)9k ┬▒ 1where k = 1, 2, 3...Examples: 8th, 10th, 17th, 19th
тЬЕ

B is correct тАФ Saturated reactors generate harmonics of the order 9k┬▒19k \pm 19k┬▒1 due to the specific saturation characteristics of the multi-phase iron-core magnetic circuit.

Core Concepts Used
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Non-linear Magnetization FACTS Devices Harmonic Distortion
ЁЯТб EXAM TIP

In competitive exams, always distinguish between converter-based harmonics (6k┬▒16k \pm 16k┬▒1) and reactor-saturation-based harmonics (9k┬▒19k \pm 19k┬▒1 or others depending on phase configuration).

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