Problem statement:

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$=0\mathrm{.}016/$km$$ L$=0\mathrm{.}97$ mH$/$km$$ C$=0\mathrm{.}0115$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

$1$

Preamble: In$-$depth Engineering knowledge

The given assignment requires in$-$depth knowledge of Transmission line analysis and $$line compensation

$2.$

Conflicting Requirements$/$

Trade$-$offs:

This Involves wide$-$ranging or conflicting technical, engineering and other issues

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.

$3.$

Depth of analysis:

Have no obvious solution and require abstract thinking, originality in analysis to formulate suitable models.

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There are multiple solutions for the voltage regulation. It could be calculated by equivalent T$,$ PI and equivalent PI models

$4.$

Depth of knowledge: Requires research$-$based knowledge

which allows a fundamental based$-$

first principles analytical approach

The design under investigation requires fundamental knowledge to advanced knowledge of transmission line modeling. The Voltage variations and efficiency variation occurs due to the effect of resistance, inductance and capacitance of the transmission line and loading conditions.

$5.$

Familiarity of issues:

Involves infrequent issues

design a model of transmission line

$6.$

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Extent of applicable codes Are outside problems encompassed by standards

and codes of practice for professional engineering.

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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.

$7$

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Extent of stake holder involvement and level of conflicting requirement Extent of stakeholder

involvement and

level of conflicting

groups of

stakeholders with widely

varying needs

All the stake holders: public; utility companies and design industries could be involved through consultation for the improvement of the design.

$8$

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Consequences

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Have significant consequences in a range of contexts

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The design involves measuring output$-$voltage and Voltage Regulation vs$.$ varying conductor parameters of transmission line which has significance consequences on transmission line design by proper conductor and spacing selection

$9$

Interdependence

Inter$-$related issues considered;