The Power Factor Correction Equation

In summary, to achieve a 90 to 95% lagging power factor for an industrial electrical load operating at 50 Hz and 10 kV (rms), a capacitance must be placed in parallel with the load. The specific range of values for this capacitance can be determined by calculating the cos of the impedance angle.
  • #1
headshrinker
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0

Homework Statement



An industrial electrical load operates from a 50 Hz 10 kV (rms) line with a power factor of 60% lagging. Determine a range of values of a capacitance that may be placed in parallel with the load to achieve a 90 to 95% lagging power factor.

Homework Equations



Power factor = cos [tex]\phi[/tex]

The Attempt at a Solution



I am stuck because i thought I'd need at least the current or the power to work this out!

Any help is appreciated!
 
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  • #2
hi headshrinker! :smile:
headshrinker said:
I am stuck because i thought I'd need at least the current or the power to work this out!

the power factor has nothing to do with power …

it's just a name for the cos of the "angle" of the impedance …

you're being asked to change the impedance :wink:
 

Related to The Power Factor Correction Equation

1. What is power factor correction?

Power factor correction is a technique used to improve the efficiency of electrical power systems. It involves adjusting the ratio of active power (measured in watts) to reactive power (measured in volt-amperes reactive) in order to reduce the amount of wasted energy and improve the overall power factor of the system.

2. Why is power factor correction important?

Power factor correction is important because it helps to reduce the amount of electricity that is wasted in a power system. A low power factor means that the system is using more energy than is necessary to perform a given task. By improving the power factor, electricity costs can be reduced and the overall efficiency of the system can be improved.

3. How is power factor correction achieved?

Power factor correction can be achieved by installing power factor correction equipment, such as capacitors, at the point of use. These devices act to reduce the amount of reactive power in the system, thereby improving the power factor. Other methods, such as using more efficient equipment and reducing harmonics, can also help to improve power factor.

4. What are the benefits of power factor correction?

The benefits of power factor correction include reduced electricity costs, improved energy efficiency, and increased power system capacity. It can also help to extend the lifespan of equipment and reduce the risk of power outages. Additionally, implementing power factor correction can have environmental benefits by reducing the amount of energy that is wasted.

5. Can power factor correction be applied to all types of electrical systems?

Yes, power factor correction can be applied to all types of electrical systems. This includes residential, commercial, and industrial systems. However, the specific methods and equipment used for power factor correction may vary depending on the type and size of the system. It is important to consult with a qualified professional to determine the best approach for each individual system.

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