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Formula Symbols

C Capacitance (farads)

fs System Frequency

f Frequency (Hertz)

I Current (amps)

I1, I2 Currents of bank or stages being sitc!ed and of bank or stage a"ready energized

Ima# peak $ peak %a"ue ca"cu"ated it!out damping& In practica" circuits it i"" be about '

percent of t!is %a"ue

I! *S current (amps) at !armonic (!)

+%ar eacti%e oer (k%ar)

k-$t# .!ree/p!ase transformer rating

0t# amep"ate impedance ()

k-$r .!ree/p!ase capacitor bank rating

+-$ .ota" oer (k-$)

k- ki"o%o"ts (k%)

+3 ea" oer (k)

4eq .ota" equi%a"ent inductance per p!ase beteen capacitor banks or stages, in

micro!enrys

F oer Factor (no unit)

ea" oer (+3)

5 eacti%e oer (k%ar)

S .ota" oer (+-$)

Subscript I Initia"

Subscript d 6esired

Subscript .!ree !aseSubscript Sing"e !ase

Subscript 4 4ine to eutra"

Subscript 44 4ine to 4ine

Subscript SC S!ort Circuit

.! Sing"e Frequency .IF at !armonic (!)

-n Harmonic -o"tage magnitude

-rms oot mean square (rms) %a"ue of %o"tage

-44 ated ma#imum %o"tage in ki"o%o"ts

I rms oot mean square (rms) %a"ue of current

Isc Symmetrica" rms s!ort/circuit current, in amperes

-pkeak magnitude

7c Capaciti%e eactance (o!ms)

7C Capaciti%e reactance ()

74 Inducti%e reactance ()

esistance ()

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7n Fi"ter inductor / reactance ()

n Harmonic at !ic! fi"ter is tuned

oer factor ang"e

Formula Index

$) Capacitors Connected in ara""e"

8) Capacitors Connected in Series

C) Capaciti%e eactance

6) Capacitance

9) Capacitor +i"o%ars

F) oer Factor

:) +i"o%ars equired to C!ange oer Factor

H) 9quations for .ota" oer Factor

I) .ota" oer

;) eacti%e oer

+) -o"tage ise

4) e"eased System Capacity for oer Factor Impro%ement

*) 4oss eduction for Correcting oer Factor) Capacitor Current

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B) Capacitors Connected in Series

C) Capacitive Reactance Xc

D) Capacitance C

E) Capacitive ilovars

http://www.nepsi.com/kvar_calculation.htmhttp://www.nepsi.com/cap_calculation.htmhttp://www.nepsi.com/capacitivereactance.htmhttp://www.nepsi.com/cap_series.htm

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F) Po!er Factor

") vars Re#uired to C$an%e Po!er Factor

!ere?

@ Initia" oer Factor $ng"e

@ Fina" oer Factor $ng"e

&) E#uations 'or (otal Po!er

good for bot! A p!ase and

sing"e p!ase ca"cu"ations

I) (otal Po!er

http://www.nepsi.com/reactive_power_calculation.htmhttp://www.nepsi.com/total_power_calculation.htmhttp://www.nepsi.com/kvars_required_calculation.htmhttp://www.nepsi.com/power_factor_calculation.htm

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) E#uations For Reactive Po!er

) Approximate *olta%e Rise 'or Addition o' Capacitors

where:

+) Released System Capacity 'or Po!er Factor Improvement

,) - +oss Reduction 'or Correctin% Po!er Factor

.) Capacitor Current

/) (otal &armonic Distortion

http://www.nepsi.com/voltagerise.htmhttp://www.nepsi.com/real_power_calculation.htm

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P) Root ,ean S#uare0 R,S

1) Displacement Po!er Factor

R) (otal Po!er Factor0 (PF

S) Resonant Fre#uency

() I2( Product

3) 1uality Factor0 1

*) Crest Factor0 CF

4) Inrus$ Current and Fre#uency Calculation 'or Sin%le Capacitor Ban5 S!itc$in%

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X) Inrus$ Current and Fre#uency Calculation 'or Bac56(o6Bac5 Capacitor Ban5S!itc$in%