ELEMENTS OF ELECTRICAL ENGINEERING211005

TOPIC-POWER TRIANGLE,POWER FACTOR

GUIDED BY:-ANKUR SIR

POWER TRIANLE

POWER TRIANGLE HAS THREE SIDES:- 

1-APPARENT POWER (VA) 2-REACTIVE POWER (VAR) 

3-REAL POWER (W) 

THE RELATIONSHIP B/W THESE CAN BE EXPRESSED BY REPRESENTING QUANTITIES AS VECTORS. REAL POWER IS HORIZONTAL VECTOR. REACTIVE POWER IS VERTICAL POWER. APPARENT POWER IS HYPOTENUSE OF RT.ANGLED TRIANGLE. 

(apparent power)2 = (real power)2 + (reactive power)2 

RATIO OF REAL POWER TO APPARENT POWER IS CALLED POWER FACTOR. PF=W / VA 

The relationship between real power, reactive power and apparent power. Which can be expressed by representing the quantities as vectors. Real power is represented as a horizontal vector and reactive power is represented as a vertical vector. The apparent power vector is the hypotenuse of a right triangle formed by connecting the real and reactive power vectors. This representation is often called the power triangle. Using the Pythagorean Theorem, the relationship among real, reactive and apparent power is: 

(apparent power)^2 = (real power)^2 + (reactive power)^2 

Real and reactive powers can also be calculated directly from the apparent power, when the current and voltage are both sinusoids with a known phase angle between them 

The is related due to the fact that everything above deals with electrical units (watts ect) and as an electrical engineer, you are responsible for all electrical aspects of a project icluding any and all calculations. 

The power factor of an AC electrical power system is defined as the ratio of the real power flowing to the load to the apparent power in the circuit,and is a dimensionless number in the closed interval of -1 to 1

POWER FACTOR:

As the power factor decreases, the ratio of real power to apparent power also decreases, as the angle θ increases and reactive power increases.

POWER FACTOR

FORMULA

Increasing the Power Factor:

As the power factor increases, the ratio of real power to apparent power increases and approaches unity (1), while the angle θ decreases and the reactive power decreases.

Decreasing the Power Factor:

As the power factor decreases, the ratio of real power to apparent power also decreases, as the angle θ increases and reactive power increases.

THANK YOU

PREPARED BY:-ANAND OJHA

151080106013CIVIL