Active Power
Definition: The power which is actually consumed or utilized in an
AC Circuit is called True power or Active power or Real
power. It is measured in kilowatt (kW) or MW. It is the actual
outcomes of the electrical system which runs the electric circuits or load.
Reactive Power
Definition: The power which flows back and forth
that means it moves in both the directions in the circuit or reacts upon
itself, is called Reactive Power. The reactive power is
measured in kilo volt-ampere reactive (kVAR) or MVAR.
Apparent Power
Definition: The product of root mean square
(RMS) value of voltage and current is known as Apparent Power.
This power is measured in kVA or MVA.
It has been
seen that power is consumed only in resistance. A pure inductor and a pure
capacitor do not consume any power since in a half cycle whatever power is
received from the source by these components, the same power is returned to the
source. This power which returns and flows in both the direction in the
circuit, is called Reactive power. This reactive power does not perform any
useful work in the circuit.
In a purely
resistive circuit, the current is in phase with the applied voltage, whereas in
a purely inductive and capacitive circuit the current is 90 degrees out of
phase, i.e., if the inductive load is connected in the circuit the current lags
voltage by 90 degrees and if the capacitive load is connected the current leads
the voltage by 90 degrees.
Hence, from all the above discussion, it is concluded that
the current in phase with the
voltage produces true or active power, whereas, the current 90 degrees out of phase with the
voltage contributes to reactive power in the circuit.
Therefore,
·
True power = voltage x
current in phase with the voltage
·
Reactive power = voltage
x current out of phase with the voltage
The phasor diagram for
an inductive circuit is shown below:
Taking voltage V as reference, the current I lags behind the
voltage V by an angle Ï•. The current I is divided into two components:
·
I Cos Ï• in phase with
the voltage V
·
I Sin Ï• which is 90
degrees out of phase with the voltage V
Therefore, the following expression shown below gives the active,
reactive and apparent power respectively.
·
Active power P = V x I
cosϕ = V I cosϕ
·
Reactive power Pr or
Q = V x I sinϕ = V I sinϕ
·
Apparent power Pa or
S = V x I = VI
Active component of the current
The current component, which is in phase with the circuit voltage
and contributes to the active or true power of the circuit, is called an Active Component or watt-full component or in-phase component of the current.
Reactive component of the current
The current component, which is in quadrature or 90 degrees out of
phase to the circuit voltage and contributes to the reactive power of the
circuit, is called a Reactive Component of the current.
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