Solving 3 Phase 11kV Line w/ 4.1 MW & 2.6 MVAR Lag

In summary, The conversation is about solving for the sending end voltage and load angle in a 3-phase 11kv line with a load of 4.1 mw, 2.6 mvar lag using the series impedance of the line. The person is confused about how to convert the 2.6mvar lag into a power factor value in order to solve the problem.
  • #1
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hi there.

can anybody advise with this one please?

a short 3 phase 11kv line delivers a load of 4.1 mw,2.6 mvar lag if the series impedance of the line is (7.2 +j12.1 ) calculate the sending end voltage and load angle.

the thing which is confusing me is the 2.6mvar lag bit,i know i need to get a power factor from this to work things out, how do i change this into a power factor value ie 0-1?

any pointers appreciated.
 
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  • #2
You have P=4 MW and Q = 2.6MVAR, so you can get S using the power triangle and then you can easily get the power factor, cosθ = P/S.
 

Related to Solving 3 Phase 11kV Line w/ 4.1 MW & 2.6 MVAR Lag

What is a 3-phase 11kV line?

A 3-phase 11kV line is an electrical transmission line that consists of three conductors, with each conductor carrying a voltage of 11kV. This type of line is commonly used in power distribution systems to transmit electricity over long distances.

What is 4.1 MW and 2.6 MVAR lag?

4.1 MW refers to the power (in megawatts) being transmitted through the 3-phase 11kV line. 2.6 MVAR lag refers to the reactive power (in megavolt-amperes reactive) that is being supplied to the line in a lagging (inductive) manner. Reactive power is important for maintaining voltage levels in the line and ensuring efficient power transfer.

Why is it important to solve for 3-phase 11kV line with 4.1 MW and 2.6 MVAR lag?

Solving for the 3-phase 11kV line with specific values for power and reactive power is important for determining the appropriate line parameters and ensuring that the line can safely and efficiently transmit electricity without causing voltage drops or power losses.

What factors affect the solution for the 3-phase 11kV line with 4.1 MW and 2.6 MVAR lag?

The solution for the 3-phase 11kV line is affected by various factors such as the length of the line, the conductor size, the type of insulation used, the type of load being supplied, and the environmental conditions. These factors can impact the line's resistance, reactance, and overall performance.

What methods can be used to solve for the 3-phase 11kV line with 4.1 MW and 2.6 MVAR lag?

There are various methods that can be used to solve for the 3-phase 11kV line, including the per unit system, the symmetrical components method, and the admittance method. These methods involve analyzing the line's parameters and using mathematical equations to determine the appropriate values for power, voltage, and current in the line.

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