The three phase line current IL
= P / ( √ 3 ) VL Cos Ф
As the power
factor is low, the load current is high and vice versa. The low value of power
factor affects following ways.
Transformer
- The kW capacity demand of the transformer decreases due to lower power factor.
kW = kVA Cos Ф
Line loss
- As the power factor decreases, the line losses increase.
- This will increase heating of conductor as well as insulation and decreases line efficiency.
- Higher losses adversely decrease the life of insulation.
Transmission line
- The load current carries by the line increases due to decrease in the power factor for a fixed amount of power transmitted.
- As the current density of the conductor is constant, cross sectional area of the conductor increases in order to carry large amount of current.
Current density δ
= I / a ( amp / mm2)
- This will result in volume of conductor material increases which result in capital cost of conductor increases.
Generator
- The kW capacity of the generator decreases due to lower power factor.
- The generator copper losses are increases which further decreases the efficiency.
Voltage regulation
- There is large voltage drop in the transmission line as well as winding of transformer and alternator due to low power factor.
- Higher the voltage drop, poor voltage regulation and vice versa.
Cost of switch gear equipment
- The rating of switch gear equipment increases due to poor power factor therefore the cost of switch gear equipment increases.
Reactive power compensating device
- As the power factor ( Cos Ф ) decreases, the Sin Ф increases.
- This will result in increase of reactive power.
- There will be reactive power compensating devices necessary in order to reduce reactive power of the line.
kVAr = kW Sin Ф ( r = Stands for
reactive power )
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