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AC Circuits


Fundamentals of AC Circuits
  • Introduction to Alternating Current (AC)
  • R-L, R-C, and R-L-C Series Circuits
  • Resonance in Series Circuits
Parallel AC Circuits
  • R-L, R-C, and R-L-C Parallel Circuits
  • Power in Single-Phase AC Circuits
  • Power Factor Improvement
Three-Phase AC Systems
  • Fundamentals of Three-Phase AC Systems
  • Power and Energy in Three-Phase Systems
  • Power Factor Improvement in Three-Phase Systems

Power Factor Improvement in Three-Phase Systems

Previous Lesson

The Importance of Power Factor in Three-Phase Systems

Power factor (PF) is critical in determining the efficiency of three-phase systems. A poor power factor results in:

  • Increased energy losses.
  • Higher demand charges from utility companies.
  • Overloaded electrical equipment.

Causes of Poor Power Factor in Three-Phase Systems

  • Inductive Loads: Common in motors, transformers, and compressors.
  • Unbalanced Loads: Result in uneven current distribution among phases.
  • Harmonic Distortion: Nonlinear loads introduce harmonics that degrade the power factor.

Economic Benefits of Power Factor Improvement

Improving power factor reduces:

  • Electricity bills due to lower energy losses.
  • Penalties imposed by utilities for maintaining low power factor.
  • Equipment wear and tear by reducing excess current flow.

Methods of Power Factor Improvement

  1. Installation of Capacitor Banks:
    • Provides leading reactive power to offset lagging reactive power.
    • Types of capacitors used:
      • Fixed Capacitors.
      • Automatic Power Factor Correction (APFC) Panels.
  2. Synchronous Condensers:
    • Over-excited synchronous motors act as capacitive loads to improve power factor.
    • Suitable for large industrial setups.
  3. Phase Balancing:
    • Redistributing loads across phases minimizes unbalanced currents, improving the overall power factor.
  4. Harmonic Filters:
    • Eliminates harmonic currents generated by nonlinear loads.
    • Active and passive filters are commonly used.

Example Calculation

Problem: A three-phase system operates with:

  • Active Power (P) = 100 kW
  • Power Factor (PF) = 0.7
  • Target Power Factor (PFtarget) = 0.95

Solution:

  1. Calculate reactive power before correction:

    Qinitial = P × tan(cos-1(0.7))

  2. Calculate reactive power after correction:

    Qfinal = P × tan(cos-1(0.95))

  3. Determine required capacitance (Qrequired):

    Qrequired = Qinitial - Qfinal

Applications

  • Industrial Plants: Improves the efficiency of heavy machinery and motors.
  • Commercial Buildings: Reduces operating costs of HVAC systems and lighting.
  • Renewable Energy Systems: Optimizes power delivery in wind and solar farms.

Conclusion

Improving power factor in three-phase systems enhances efficiency, reduces costs, and prolongs equipment life. Techniques such as using capacitors, synchronous condensers, and harmonic filters play a vital role in modern electrical systems.

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