CALCULATORS FOR USE IN POWER FACTOR CORRECTION
The calculators provided on this web page may be utilized in the design and application of power capacitor banks and harmonic filter systems.
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CALCULATION |
KNOWN VARIABLES |
UNKNOWN |
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actiVARTM - Motor Start | Xs, Xr, Vp, Vs, actiVARTMrating, Ilocked rotor | Vsag, Vdrop | Calculate |
Altitude Correction | Equipment Elevation (meters or feet), Standard Equipment Impulse Voltage (kV), Power Frequency Withstand Voltage (kV) |
Correction Factor, Sea Level Impulse Voltage (kV), Sea Level Withstand Voltage (kV) |
Calculate |
Cable (Medium Voltage Shielded) | |||
Capacitance |
SIC, L, d, D | CCABLE | Calculate |
Charging Current |
SIC, L, VLL, d, D, L, f | ICHARGE | Calculate |
Charging Reactive Power (kvar) |
SIC, L, VLL, d, D, L, f | kvarCHARGE | Calculate |
Inductive Reactance |
A, B, C, f, d, K, L | XL | Calculate |
Inductance |
A, B, C, f, d, K, L | LC | Calculate |
Resistance |
Rac20C, T, L, A, B, C, f, d, K, L | RCABLE | Calculate |
X/R Ration |
Rac20C, T, L, A, B, C, f, d, K, L | X/RCABLE | Calculate |
Surge Impedance |
Rac20C, T, L, A, B, C, f, d, K, SIC, D | ZO | Calculate |
Capacitance - Capacitors Connected in Parallel | C1, C2, C3, C4… | CTOTAL | Calculate |
fCAP1, fCAP2, fCAP3, …, XCAP1, XCAP2, XCAP3…. | CTOTAL | Calculate | |
VCAP1, VCAP2, VCAP3 ... fCAP1, fCAP2, fCAP3 ... XCAP1, XCAP2, XCAP3, ... |
CTOTAL | Calculate | |
Capacitance - Capacitors Connected in Series | C1, C2, C3, C4… | CTOTAL | Calculate |
Capacitance - Medium Voltage Cable | SIC, L, d, D | CCABLE | Calculate |
Capacitance - Single Phase Capacitors | VCAP, KVAR, f | C | Calculate |
XC, f | C | Calculate | |
Capacitive Reactance of Single Phase Capacitors | CCAP, fCAP | Xc | Calculate |
VCAP, KVARCAP | Xc | Calculate | |
VCAP, KVAR, f | Xc | Calculate | |
Capacitor Voltage Decay | KVARCAP, KVLL, f | RDISCHARGE, RWATTS, RENERGY, TIMEDISCHARGE |
Calculate |
Compensated Load KVA | KW, KVA, PFDESIRED | KVACOMPENSATED | Calculate |
KVAINITIAL, PFINITIAL, PFDESIRED | KVACOMPENSATED | Calculate | |
KW, PFINITIAL, PFDESIRED | KVACOMPENSATED | Calculate | |
KW, KVARINITIAL, PFDESIRED | KVACOMPENSATED | Calculate | |
Compensated Load KVAR | KVAINITIAL, PFINITIAL, PFDESIRED | KVARCOMPENSATED | Calculate |
KW, PFINITIAL, PFDESIRED | KVARCOMPENSATED | Calculate | |
KW, KVARINITIAL, PFDESIRED | KVARCOMPENSATED | Calculate | |
Crest Current | I1, I2, I3, I4, etc… | ICREST | Calculate |
Crest Factor (Current) | I1, I2, I3, I4, etc… | CF | Calculate |
Crest Factor (Voltage) | V1, V2, V3, V4, etc… | CF | Calculate |
Crest Voltage | V1, V2, V3, V4, etc… | VCREST | Calculate |
Electromagnetic Forces on Bus Bar | Short-Circuit Current, Phase Spacing | Multiplying Factor, Bus Bar Force |
Calculate |
Ithd - Total Harmonic Current Distortion (%) | I1, I2, I3, I4, etc… | Ithd (%) | Calculate |
Ithd - Total Harmonic Current Distortion (PU) | I1, I2, I3, I4, etc… | Ithd (PU) | Calculate |
Inductance - Medium Voltage Cable | A, B, C, f, d, K, L | LC | Calculate |
KVA Reduction | KW, KVA, PFDESIRED | KVAREDUCTION | Calculate |
Load KVA | KW, PFINITIAL, PFDESIRED | KVA | Calculate |
KW, KVARINITIAL, PFDESIRED | KVA | Calculate | |
Loss Reduction in Correct PF (%) | PFINITIAL, PFDESIRED | LOSSREDUCTION (%) | Calculate |
Motor Start | Xs, Xr, Vp, Vs, actiVARTMrating, Ilocked rotor | Vsag, Vdrop | Calculate |
Motor Torque | |||
Accelerating Torque for Hollow Cylinders |
Weight (lbs), Outer Diameter (ft), Inner Diameter (ft), Change in Speed (RPM), Time to accelerate Total System (sec) | T (lbs-ft) | Calculate |
Accelerating Torque for Linear Motion |
Weight (lbs), Linear Velocity (ft/min), Speed of Driving Motor (RPM), Change in Speed (RPM), Time to Accelerate Total System (sec) | T (lbs-ft) | Calculate |
Accelerating Torque for Motor Shafts |
Speed of Moving Parts (RPM), Speed of Driving Motor (RPM), Change in Speed (RPM), Time to Accelerate System (sec) | T (lbs-ft) | Calculate |
Accelerating Torque for Solid Cylinders |
Weight (lbs), Diameter (ft), Change in Speed (RPM), Time to accelerate Total System (sec) | T (lbs-ft) | Calculate |
Torque |
Horse Power, Speed in RPM | T (lbs-ft) | Calculate |
Peak Current | I1, I2, I3, I4, etc… | IPEAK | Calculate |
Peak Inrush Current (Back-to-Back Switching) | kVLL, KAsc, Frequency, KVAR, µH | IPEAK | Calculate |
Peak Inrush Current (Single Bank Switching) | kVLL, KAsc, Frequency, KVAR, µH | IPEAK | Calculate |
Peak Inrush Current Frequency (Back-to-Back Switching) | kVLL, KAsc, Frequency, KVAR, µH | f (HZ) | Calculate |
Peak Inrush Current Frequency (Single Bank Switching) | kVLL, KAsc, Frequency, KVAR, µH | f (HZ) | Calculate |
Peak Voltage | V1, V2, V3, V4, etc… | VPEAK | Calculate |
Per-Unit And Base Impedance | Base Three Phase Power, Base Line-to-Line Voltage | Base Impedance, Base Current, Per-Unit Impedance, Per-Unit Capacitor Bank Impedance, Per Unit Impedance on New MVA Base or New KVA Base, Motor Impedance and Motor Per-Unit Impedance at specified base values | Calculate |
Power Factor (PF) | KW, KVARINITIAL, PFDESIRED | PF | Calculate |
kW, KVA | PF | Calculate | |
kW, KVAR | PF | Calculate | |
Power Factor (PF) (1-phase) | KW, KVAR | PF | Calculate |
KVLN, I, PF Angle | PF1Ø | Calculate | |
KVA1Ø, KW1Ø | PF | Calculate | |
KVA1Ø, KVAR1Ø | PF | Calculate | |
Power Factor (PF) (3-phase) | KW, KVAR | PF | Calculate |
KVA3Ø, KW3Ø | PF | Calculate | |
KVLL, I, PF Angle | PF | Calculate | |
KVA3Ø, KVAR3Ø | PF3Ø | Calculate | |
Power Factor Angle (PF Angle) | kW, KVA | Ɵ (Degrees) | Calculate |
kW, KVAR | Ɵ (Degrees) | Calculate | |
Power Factor Angle (PF Angle) (1-Phase) | KVA1Ø, KW1Ø | Ɵ (Degrees) | Calculate |
KVLN, I, PF | PF | Calculate | |
KVA1Ø, KVAR1Ø | Ɵ (Degrees) | Calculate | |
Power Factor Angle (PF Angle) (3-Phase) | KVA3Ø, KW3Ø | Ɵ (Degrees) | Calculate |
KVLL, I, PF | PF | Calculate | |
KVA3Ø, KVAR3Ø | Ɵ (Degrees) | Calculate | |
Power Factor Compensation Chart | KW, PFPRESENT, PFTARGET, Step KVAR, Dead Band Width | Var Switching Levels | Calculate |
Reactive Power | kW, KVA | KVAR | Calculate |
kW, KVAR | KVAR | Calculate | |
Reactive Power (1-Phase) | KVLN, I, PF | KVAR1Ø | Calculate |
KVLN, I, PF Angle | KVAR1Ø | Calculate | |
KVA1Ø, KW1Ø | KVAR1Ø | Calculate | |
Reactive Power (3-Phase) | KVLL, I, PF Angle | KVAR3Ø | Calculate |
KVLL, I, PF | KVAR3Ø | Calculate | |
KVA3Ø, KW3Ø | KVAR3Ø | Calculate | |
Reactive Power Required to Correct PF | KW, KVA, PFDESIRED | KVARREQUIRED | Calculate |
Real Power (1-Phase) | KVLN, I, PF | KW1Ø | Calculate |
KVLN, I, PF Angle | KW1Ø | Calculate | |
KVA1Ø, KVAR1Ø | KW1Ø | Calculate | |
Real Power (3-Phase) | KVLL, I, PF Angle | KW3Ø | Calculate |
KVLL, I, PF | KW3Ø | Calculate | |
KVA3Ø, KVAR3Ø | KW3Ø | Calculate | |
Real Power (kW) | KVAINITIAL, PFINITIAL, PFDESIRED | KW | Calculate |
Released KVA | KVAINITIAL, PFINITIAL, PFDESIRED | KVARELEASED | Calculate |
KW, PFINITIAL, PFDESIRED | KVARELEASED | Calculate | |
KW, KVARINITIAL, PFDESIRED | KVARELEASED | Calculate | |
Conductor Sizing under Short-Time Over-Current Conditions | Over-current Time (Seconds), Over-Current Magnitude (RMS Amperes), Conductor Material, Operating Temperature (°C), Maximum Temperature Limit (°C) | Minimum Conductor Size Needed (Circular Mills) | Calculate |
Required Reactive Power Compensation (kvar) | KVAINITIAL, PFINITIAL, PFDESIRED | KVARREQUIRED | Calculate |
KW, PFINITIAL, PFDESIRED | KVARREQUIRED | Calculate | |
KW, KVARINITIAL, PFDESIRED | KVARREQUIRED | Calculate | |
Resistance - Medium Voltage Cable | Rac20C, T, L, A, B, C, f, d, K, L | RCABLE | Calculate |
RMS Current | I1, I2, I3, I4, etc… | IRMS | Calculate |
RMS Voltage | V1, V2, V3, V4, etc… | VRMS | Calculate |
Short Circuit Capacity (KVAsc) | Capacitor Bank kvar Rating, XFMR KVA, Transformer Impedance (%) | KVAsc | Calculate |
Capacitor Bank kvar Rating, kVLL, KAsc | KVAsc | Calculate | |
Short Time Current Rating of Conductors | Conductor cross-sectional area (Circular Mils), Conductor Material, Short Circuit/Overload Current (RMS Amperes), Operating Temperature, Maximum Temperature | Time to Reach Maximum Temperature | Calculate |
Surge Impedance - Medium Voltage Cable | Rac20C, T, L, A, B, C, f, d, K, SIC, D | ZO | Calculate |
Total Power (1-phase) | KW, KVAR | KVA3Ø | Calculate |
KVLN, I | KVA1Ø | Calculate | |
KVLN, I, PF | KVA1Ø | Calculate | |
KVLN, I, PF Angle | KVA1Ø | Calculate | |
Total Power (3-phase) | KW, KVAR | KVA3Ø | Calculate |
KVLL, I | KVA3Ø | Calculate | |
KVLL, I, PF Angle | KVA3Ø | Calculate | |
KVLL, I, PF | KVA3Ø | Calculate | |
Voltage Rise (%) | Capacitor Bank kvar Rating, KVAsc | VRISE (%) | Calculate |
Capacitor Bank kvar Rating, XFMR KVA, Transformer Impedance (%) | VRISE (%) | Calculate | |
Capacitor Bank kvar Rating, kVLL, KAsc | VRISE (%) | Calculate | |
Voltage Rise (kV) | Capacitor Bank kvar Rating, kVLL, KAsc | VRISE(kV) | Calculate |
Vthd - Total Harmonic Voltage Distortion (%) | V1, V2, V3, V4, etc… | Vthd (%) | Calculate |
Vthd - Total Harmonic Voltage Distortion (PU) | V1, V2, V3, V4, etc… | Vthd (PU) | Calculate |
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