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Power Factor Correction - Tutorial

Note: This is the first part of the PF Correction tutorial series.

In industrial plants, induction motors comprises majority of the load. Without power factor correction, the nominal industrial plant overall power factor ranges from about 0.70 to 0.80 lagging.

A low power factor means that the I2R losses is high. Some electrical utility companies also penalize plant with low power factors as this leads to a high system loss. On the hand, plant with high power factor are given incentive discounts on the billing which will make any investment on a power factor correction equipment viable.

To illustrate this better, let us provide a real world example.

Plant A Monthly average

Monthly energy consumption : 125 000 kwhs
Power Factor : 0.75 Lagging
Utilization Voltage : 400V, 3 phase

What is the size of capacitor bank needed to raise the power factor to 0.95 lagging?

Solution:

Number of hours per month : 720 h

The formula of KVAR in terms or the kwh and PF is
KVAR = [kwh/720] * [ (1/PF)2 - 1 ]0.5

Let us calculate the reactive power of the plant at 0.75 PF and at 0.95 PF. The difference of the two KVARs shall be the size of the capacitor bank.

At 0.75 PF

KVAR0.75 = [125 000/720] * [ (1/0.75)2 - 1 ]0.5
KVAR0.75 = 153.10 kVAR

At 0.95 PF

KVAR0.95 = [125 000/720] * [ (1/0.95)2 - 1 ]0.5
KVAR0.95 = 57.06 kVAR

KVAR = KVAR0.75 - KVAR0.95
KVAR = 153.10 - 57.06
KVAR = 96.04 kVAR
say 100 kVAR

The best combination for the capacitor bank may be

4 x 25kVAR or
5 x 20kVAR
The higher the number of steps the better the PF regulation will be when it is used with a PF controller. This however has a cost implication as the latter will be most costly than the former. A 20kVAR unit does not cost much less than a 25VAR unit. Proper selection of combination is desirable when designing PF correction system.

Next time - we shall be calculating the savings for using power factor correction. Will it pay for itself? Will find that out on the next tutorial.

 

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Design Stages

Successful projects were not developed overnight. They have undergone through several stages. Missing any one stage may have caused disastrous effect on the projects causing failure.

Conceptual Design
To develop your project ideas into a more tangible perspective.
Front End Engineering and Design (FEED)
To explore possibilities to enable better control on the outcome of ideas, getting the final result without delay but more importantly without overshooting your budget.
All ideas need to be developed at this stage of the project.
Detail Design
The final stage of the design aspect of your project. Only minor, unforeseen and uncontrollable by the project team need to be implemented at this stage.
Injecting radical changes at this stage could mean redevelopment of the project concepts leading to project delays and budget overshoot.

We could offer the Electrical Engineering aspect of your project ideas. If you want to seek our help, contact us at HELP@FILIPINOENGINEER.


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