AC Circuits
Fundamentals of AC Circuits
Parallel AC Circuits
Power Factor Improvement in Three-Phase Systems
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
- 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.
- Synchronous Condensers:
- Over-excited synchronous motors act as capacitive loads to improve power factor.
- Suitable for large industrial setups.
- Phase Balancing:
- Redistributing loads across phases minimizes unbalanced currents, improving the overall power factor.
- 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:
- Calculate reactive power before correction:
Qinitial = P × tan(cos-1(0.7))
- Calculate reactive power after correction:
Qfinal = P × tan(cos-1(0.95))
- 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.