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ElectricalMachine
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Which of the following is/are the must condition during Self-Excited Dynamic Braking of three-phase induction motor?

A

A) Disconnect All phases from Line

B

B) Three capacitors are permanently connected to the motor

C

C) The capacitor must enough to supply reactive power

D

D) All of these

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalMachine
Option D

All of these

Quick Summary:

Self-excited dynamic braking (or capacitive braking) of a three-phase induction motor requires disconnecting the motor from the AC supply line and connecting a capacitor bank across its stator terminals. The kinetic energy of the rotating rotor provides mechanical input while the connected capacitors supply the necessary reactive power (QQQ) for self-excitation, establishing a rotating magnetic field to produce braking torque.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Self-excited dynamic braking (or capacitive braking) of a three-phase induction motor requires disconnecting the motor from the AC supply line and connecting a capacitor bank across its stator terminals. The kinetic energy of the rotating rotor provides mechanical input while the connected capacitors supply the necessary reactive power (QQQ) for self-excitation, establishing a rotating magnetic field to produce braking torque.

ЁЯФв Key Formulas

XC=12╧АfCтЙдXmX_C = \frac{1}{2\pi f C} \le X_mXCтАЛ=2╧АfC1тАЛтЙдXmтАЛ тАФ Condition for self-excitation (Capacitive reactance must be less than or equal to magnetizing reactance)

QC=3V2╧ЙCQ_C = 3 V┬▓ \omega CQCтАЛ=3V2╧ЙC тАФ Reactive power supplied by delta-connected capacitors to stator

тЪЩя╕П Working Principle

When the stator is isolated from the 3-phase line and connected to capacitors, residual magnetism in the rotor core induces a small voltage in the stator windings. This voltage drives a capacitive current through the capacitor bank, which leads the voltage by 90┬░ and supplies magnetizing reactive power. This reinforces the air-gap magnetic flux, building up stator voltage through a process analogous to self-excitation in a DC shunt generator. As the motor rotates, kinetic energy is dissipated as electrical energy in the stator/rotor resistances, bringing the machine to a smooth stop.

ЁЯУМ Key Points
  • тЦ╕

    The stator must be disconnected from the mains supply to prevent short-circuiting or power feed-back.

  • тЦ╕

    Capacitors must be permanently or selectively switched across stator terminals during the braking cycle.

  • тЦ╕

    Presence of residual magnetism in the rotor core is mandatory to initiate voltage buildup.

  • тЦ╕

    The minimum capacitance value must be sufficient to supply the required magnetizing reactive VARs.

тЬЕ Advantages
  • тЦ╕

    No external DC auxiliary supply required (unlike conventional DC dynamic braking).

  • тЦ╕

    Energy dissipated is purely proportional to speed, producing smooth deceleration without mechanical shock.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Braking torque drops rapidly as motor speed decreases, collapsing entirely at lower speeds (around 20-30% of rated speed).

  • тЦ╕

    Requires large and expensive AC capacitors for effective braking.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Emergency stopping of industrial drives where external power failure may co-occur.

  • тЦ╕

    Textile mill drives and machine tools requiring controlled deceleration without external DC sources.

ЁЯУД Additional Information
  • тЦ╕

    Option A is correct because isolating the motor from the AC line is essential before applying self-excitation.

  • тЦ╕

    Option B is correct because capacitors connected across the terminals provide the leading current required for excitation.

  • тЦ╕

    Option C is correct because if capacitance CCC is too small, the magnetizing curve will not intersect the capacitor IтИТVI-VIтИТV line, preventing self-excitation.

ЁЯУК Diagram / Illustration
Self-Excited Dynamic Braking Scheme3-Phase ACSupplyCapacitorBank (C)3-PhaseInduction MotorOPENReactive PowerRotor Kinetic Energy тЖТ Electrical Loss (Heat)Requirement: Residual Magnetism +Adequate C
тЬЕ

D is correct тАФ All listed conditions (isolating the mains, connecting capacitors, and ensuring adequate capacitive reactive power capacity) are mandatory for self-excited dynamic braking.

Core Concepts Used
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Capacitive Self-Excitation Dynamic Braking of Induction Motors Reactive Power Requirements
ЁЯТб EXAM TIP

For competitive exams (GATE/ESE/SSC JE), remember that self-excitation fails if the motor lacks residual magnetism or if the connected capacitance is less than the critical capacitance (C<CcritC < C_{crit}C<CcritтАЛ).

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