Friday, August 21, 2015

Power Factor

Loads in electrical distributer systems are inductive Loads which need a magnetic field to operate, Such as motors, transformers, ballasts and furnace.
In first we should know what is the two kinds of power that be needed in the inductive loads;



Active Power:  to perform the actual the actual work such as light, its unit is (KW). It Consumes watts and can be read on a wattmeter. It is measured in kilowatts (kW)

Reactive Power:  to sustain the magnetic field, its unit (KVAR), doesn’t perform useful “work,” but circulates between the generator and the load. It places a heavier drain on the power source, as well as on the power source’s distribution system. Reactive power is measured in kilovolt-amperes-reactive (kVAR)
Active power and reactive power together make up apparent power. Apparent power is measured in kilovolt-amperes (kVA).

What is the Power Factor?

Power factor is the ratio of active power to apparent power. It measures how effectively electrical power is being used. A high power factor signals efficient utilization of electrical power, while low power factor indicates poor utilization of electrical power.To determine power factor (PF), divide working power (kW) by apparent power (kVA). In a linear or sinusoidal system, the result is also referred to as the cosine θ

PF =     KW   = cosine θ     
            KVA

Low Power Factor

The main cause of low Power factor is Inductive Load. As in pure inductive circuit, Current lags 90° from Voltage, this large difference of phase angle between current and voltage causes zero power factor. Basically, all those circuit having Capacitance and inductance (except resonance circuit (or Tune Circuit) where inductive reactance = capacitive reactance (XL = Xc), so the circuit becomes a resistive circuit), power factor would be exist over there because Capacitance and inductance causes in difference of phase angle (θ) between current and voltage.
There are a lot of disadvantages of low Pf and we must improve Pf .

Following are the causes of low Power factor:

·        Single phase and three phase induction Motors

(Usually, Induction motor works  at poor power factor i.e. at:
Full load, Pf = 0.8 -0.9
Small load, Pf = 0.2 -0.3
 No Load, Pf may come to Zero (0).

·        Varying Load in Power System
(As we know that load on power system is varying. During low load period, supply voltage is increased which increase the magnetizing current which cause the decreased power factor)

·        Industrial heating furnaces

·        Electrical discharge lamps

(High intensity discharge lighting) Arc lamps (operate a very low power factor)

·        Transformers

·        Harmonic Currents

What are the disadvantages of low power factor?

·        Large Line Losses (Copper Losses):
We know that Line Losses is directly proportional to the squire of Current “I2”
Power Loss = I2xR i.e., the larger the current, the greater the line losses i.e. I>>Line Losses
In other words,  
Power Loss = I2xR = 1/CosФ2 ….. Refer to Equation “I ∝ 1/CosФ”….… (1)
Thus, if Power factor = 0.8, then losses on this power factor =1/CosФ2 = 1/ 0.82 = 1.56 times will be greater than losses on Unity power factor.

·        Large kVA rating and Size of Electrical Equipment:
As we know that almost all Electrical Machinery (Transformer, Alternator, Switchgears etc) rated in kVA. But, it is clear from the following formula that Power factor is inversely proportional to the kVA i.e.
Therefore, The Lower the Power factor, the larger the kVA rating of Machines also, the larger the kVA rating of Machines, The larger the Size of Machines and The Larger the size of Machines, The Larger the Cost of machines.

·        Greater Conductor Size and Cost:
In case of low power factor, current will be increased, thus, to transmit this high current, we need the larger size of conductor. Also, the cost of large size of conductor will be increased.

·        Poor Voltage Regulation and Large Voltage Drop:
Voltage Drop = V = IZ.
Now in case of Low Power factor, Current will be increased. So the Larger the current, the Larger the Voltage Drop.
Also Voltage Regulation = V.R = (VNo Load – VFull Load)/ VFull Load
In case of Low Power Factor (lagging Power factor) there would be large voltage drop which cause low voltage regulation. Therefore, keeping Voltage drop in the particular limit, we need to install Extra regulation equipments i.e. Voltage regulators.

·        Low Efficiency:
In case of low Power Factor, there would be large voltage drop and large line losses and this will cause the system or equipments efficiency too low. For instant, due to low power factor, there would be large line losses; therefore, alternator needs high excitation, thus, generation efficiency would be low. 

·        Penalty from Electric Power Supply Company on Low Power factor
Electrical Power supply Company imposes a penalty of power factor below 0.95 lagging in Electric power bill. So you must improve Pf above 0.95. 

We will discuss in the nest topics how to improve power factor (Power factor correction )
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