A three Phase $60--$Hz$,550-$kV transmission line is $300$km

long. The line parameter per phase per unit length are found

to be

r$=0\mathrm{.}016$ Omeg$($a$)/(()/())$kmquadL$=0\mathrm{.}97$m$($H$)/(()/())$kmquadC$=0\mathrm{.}0115$ mu$($F$)/(()/())$km

Determine the Transmission line performance when load at

the receiving end is $800$MW$,0\mathrm{.}8$ power factor lagging at $500$

kV $.$ Also, determine the reactance and the MVAR of a three

phase shunt reactor to be installed at the receiving end in

order to limit the no load receiving end voltage to $500$ kV $.$

The existing line loading resulted in a voltage regulation of

$34\mathrm{.}15$ percent which is unacceptably high. To improve the

Transmission line performance, determine the MVAR of the

shunt capacitors or series capacitors to be installed at the

receiving end to keep the receiving end voltage at $500$ kV

$.$Also Construct power circle diagrams to meet the designed

specifications.

Important: Implement this problem using MATLAB and also

verify analytically.

Mapping of Attributes for the system design are as follows:

Sr$.$

Attributes

Mapping on Range of Complex Problem Solving

Preamble: In$-$depth Engineering

$1$ knowledge

Conflicting Requirement$($s$)/()$

Trade$-$offs:

This Involves wide$-$ranging or

conflicting technical, engineering

and other issues

The given assignment requires in$-$depth knowledge of

Transmission line analysis and line compensation

The given assignment has conflicting technical issue of

voltage regulation and efficiency due to variation in load

condition and also due to series and parallel

compensation.

Depth of analysis:

Have no obvious solution and

require abstract thinking,

originality in analysis to formulate

suitable models.

Depth of knowledge: Requires

research$-$based knowledge

which allows a fundamental based$-$

first principles analytical approach

h

variation occurs due to the effect of resistance,

inductance and capacitance of the transmission line and

loading conditions.

Familiarity of issues:

Involves infrequent issues

Extent of applicable codes Are

outside problems encompassed by

standards

and codes of practice for

professional engineering.

There are multiple solutions for the voltage regulation. It

could be calculated by equivalent T$,$ PI and equivalent PI

models

The design under investigation requires fundamental

knowledge to advanced knowledge of transmission line

modeling. The Voltage variations and efficiency

design a model of transmission line

The knowledge of analysis of transmission lines could

be utilized for the improved performance analysis $,$

voltage regulation characteristics by changing

compensations methods or MVAR values.

$7$ Extent of stake holder

All the stake holders: public; utility companies and

involvement and level of

design industries could be involved through consultation

conflicting requirement Extent of for the improvement of the design.

stakeholder

involvement and

level of conflicting

groups of

stakeholders with widely

varying needs

$8$ Consequences

The design involves measuring output$-$voltage and

Voltage Regulation vs$.$ varying conductor parameters of

Have significant consequences in a transmission line which has significance consequences

range of contexts

on transmission line design by proper conductor and

spacing selection

part B: also Load ability is changed from $800$ MV to $850$MV discuss the effect eith mathematical verification