Harmonic Filter Calculations

Harmonic Filter Calculations

Harmonic Filter Calculations:

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SYSTEM INFORMATION: 5 th

Filter Specification (e.g., 5):

500 kVAr 481 Amps 480 Volts

Three-Phase Capacitor Bank Rating: Rated Capacitor Bank Current: Nominal Bus Voltage:

60 Hz

Power System Frequency: Capacitor Voltage Rating: Capacitor Frequency Rating: Derated Capacitor Size:

600 Volts 60 Hz 320 kVAr

Total Harmonic Load:

500 kVA

Capacitor Bank Current (actual):

384.9 Amps

Filter Tuning Harmonic (e.g., 4.7):

4.7 th

Filter Tuning Frequency:

282 Hz

0.7200 Ω 2.1600 Ω 0.0326 Ω

Capacitor Rating (wye): Capacitor Rating (delta): Filter Reactor Rating:

3684.15 µF 1228.05 µF 0.0865 mH

Capacitor Impedance (wye): Capacitor Impedance (delta): Filter Reactor Impedance: Filter Full Load Current (actual): Filter Full Load Current (rated): Transformer Nameplate Rating: Transformer Nameplate Impedance:

403.2 503.9 1500 6.00

Amps Amps kVA %

Load Harmonic Current:

30.00 % Fund

Utility Harmonic Current:

42.7 Amps

Fundamental Frequency Compensation:

335 kVAr

Utility Side Voltage Distortion (Vh): (Utility Harmonic Voltage Source)

1.00 %

Load Harmonic Current:

180.4 Amps

Maximum Total Harmonic Current:

223.1 Amps

Fund. Freq. Capacitor Voltage:

502.8 Volts

CAPACITOR DUTY CALCULATIONS: Harmonic Filter RMS Current:

460.8 Amps

Harmonic Capacitor Voltage:

55.6 Volts

Maximum Peak Voltage:

558.4 Volts

505.8 Volts

Maximum Peak Current:

626.2 Amps

RMS Capacitor Voltage: CAPACITOR LIMITS: (IEEE Standard 18-2002) Peak Voltage: RMS Current: KVAr: RMS Voltage:

Limit 100% 100% 100% 100%

Contingency 120% 135% 135% 110%

FILTER CONFIGURATION: Actual 93% 96% 81% 84%

Value 558 461 404 506

480 Volt Bus

Xl =

0.0326

Ω

500 kVAr @ 600 Volts

FILTER REACTOR DESIGN SPECIFICATIONS: 0.0326 Ω 403.2 Amps 460.8 Amps

Reactor Impedance: Fundamental Current: RMS Current Requirement:

Reactor Rating: Harmonic Current: Voltage Requirement:

0.0865 mH 223.1 Amps 277.1 Volts

TOLERANCE EVALUATION: Capacitor Tolerance: Reactor Tolerance:

0.00 2.50

+ 10.00 2.50

ftuned = fno min al ×

1 (1 + t r )(1 + t c )

Tuning Range 4.43 4.76

Information contained in this document is subject to change without notice. Electrotek assumes no responsibility for any damages resulting from use of the information contained within. Copyright © 2000-2003 Electrotek Concepts, Inc. All rights reserved.

Electrotek Concepts, Inc.

2/19/2003