1. A (medium) single phase transmission line 100 km long has the following constants : = 0-152 = 0-377 N Resistance/km/phase Inductive reactance/km/phase Capacitive reactance/km/phase = 31-87 Q = 132 kV Receiving end line voltage Assuming that the total capacitance of the line is localised at the receiving end alone, determine (i) sending end current (iii) regulation The line is delivering 72 MW at 0-8 p.f. lagging. (ii) line value of sending end voltage (iv) sending end power factor IG) 377.3 A GA 155-7 kV Gi) 17.00/ Gv) 07
Short Transmission Line
A short transmission line is a transmission line that has a length less than 80 kilometers, an operating voltage level of less than 20 kV, and zero capacitance effect.
Power Flow Analysis
Power flow analysis is a topic in power engineering. It is the flow of electric power in a system. The power flow analysis is preliminary used for the various components of Alternating Current (AC) power, such as the voltage, current, real power, reactive power, and voltage angles under given load conditions and is often known as a load flow study or load flow analysis.
Complex Form
A power system is defined as the connection or network of the various components that convert the non-electrical energy into the electric form and supply the electric form of energy from the source to the load. The power system is an important parameter in power engineering and the electrical engineering profession. The powers in the power system are primarily categorized into two types- active power and reactive power.
![TUTORIAL PROBLEMS
1. A (medium) single phase transmission line 100 km long has the following constants :
Resistance/km/phase
= 0·15Q
Inductive reactance/km/phase
= 0:377 Q
Capacitive reactance/km/phase
31-87 N
= 132 kV
Receiving end line voltage
Assuming that the total capacitance of the line is localised at the receiving end alone, determine :
(i) sending end current
(ii) line value of sending end voltage
(iii) regulation
(iv) sending end power factor
The line is delivering 72 MW at 0-8 p.f. lagging.
[(i) 377-3 A (ii) 155-7 kV (iii) 17-9% (iv) 0-774 lag]
2. A 3-phase, 50 Hz overhead transmission line has the following constants :
Resistance/phase
= 9.6 Q
Inductance/phase
0-097 mH
Capacitance/phase
0-765 µF
If the line is supplying a balanced load of 24,000 kVA 0-8 p.f. lagging at 66 kV, calculate :
(i) sending end current
(ii) line value of sending end voltage
(iii) sending end power factor
(iv) percentage regulation
(v) transmission efficiency
[(i) 204 A (ii) 75 kV (iii) 0-814 lag (iv) 13•63 % (v) 93-7%]
3. A 3-phase, 50 Hz, overhead transmission line delivers 10 MW at 0-8 p.f. lagging and at 66 kV. The
resistance and inductive reactance of the line per phase are 10 Q and 202 respectively while capacitance
admittance is 4 × 10¯* siemen. Calculate :
(ii) sending end voltage (line-to-line)
(iv) transmission efficiency
(i) the sending end current
(iii) sending end power factor
Use nominal T method.
[(i) 100 A (ii) 69-8 kV (iii) 0-852 (iv) 97-5%]
4. A 3-phase, 50 Hz, 100 km transmission line has the following constants ;
Resistance/phase/km = 0-1 Q
Reactance/phase/km = 0:5 Q
Susceptance/phase/km = 10³ siemen
If the line supplies a load of 20 MW at 0-9 p.f. lagging at 66 kV at the receiving end, calculate by using
nominal t method :
(i) sending end current
(ii) line value of sending end voltage](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5254c37-67fa-4703-994f-50a8e4c5c464%2F68fd0a02-eacd-42e9-9b72-91f3985e08c0%2Frxujadk_processed.png&w=3840&q=75)

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