assigment_EPSD_Lab.pdf

7/27/2019 assigment_EPSD_Lab.pdf

http://slidepdf.com/reader/full/assigmentepsdlabpdf 1/5

Assignment 1

Develop program in MATLAB to determine

1. GMRL and GMRC for a composite conductor having seven identical strands of radius ‘r’ each.

2. GMRL and GMRC of bundle conductor having bundle spacing of ‘d’ having total number of conductor

2,3 (equilateral triangle configuration) or 4 (square configuration) each of radius ‘r’.

3. Develop program in MATLAB to determine line constant L and C for an overhead 3-phase general

transmission line considering following options:

[1]. Type of conductor a) Single Conductor

b) Bundle Conductor (with configuration)

[2]. Number of three phase circuits

a) Single Circuit

b) Double Circuit (Vertical configuration)

c) Double Circuit (Horizontal configuration)

[3]. For double circuit configuration – the circuit arrangement

a) abc-c’b’a’

b) abc-a’b’c’

[4]. Whether the line is transposed or not

4. A double circuit three phase transmission line is composed of two ACSR 72/7 Kiwi conductors per phase

with vertical configuration as shown in figure. The conductors have the diameter of 4.4069cm and a GMR

of 1.7374cm. The bundle spacing is 45cm. Find the inductance and capacitance per phase per km of the

line and verify the result using MATLAB program developed in Ex.3, if the line is untransposed. Neglect

the effect of earth.



Assignment 2

Develop a MATLAB program for a three-phase, 60-Hz, 550-kV transmission line is 300 km long. The

line parameters per phase per unit length are found to be

r = 0.016 Ohm/km L = 0.97 mH/km C = 0.0115 µF/km

i. Determine the line performance when load at the receiving end is 800 MW, 0.8 pf lagging at 500 kV.

ii. Determine the receiving end quantities and the line performance when 600 MW and 400 MVAr are

being transmitted at 525 kV from the sending end.

iii. Determine the sending end quantities and the line performance when the receiving end load impedanceis 290 Ω at 500 kV.

iv. Find the receiving end voltage when the line is terminated in an open circuit and is energized with 500

kV at the sending end. 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.

v. Find the receiving end and the sending end currents when the line is terminated in a short circuit.

vi. The line loading in part (i) resulted in a voltage regulation of 34.16%, which is unacceptably high. To

improve the line performance, the line is compensated with series and shunt capacitors. For the loading

condition in (i):

a) Determine the MVAr and the capacitance of the shunt capacitors to be installed at the receiving end

to keep the receiving end voltage at 500 kV when the line is energized with 500 kV at the sending

end.

b) Determine the line performance when the line is compensated by series capacitors for 40%

compensation with the load condition in (i) at 500 kV.

c) The line has 40% series capacitor compensation and supplies the load in (i). Determine the MVAr

and the capacitance of the shunt capacitors to be installed at the receiving end to keep the receiving

end voltage at 500 kV when line is energized with 500 kV at the sending end.



Assignment 3

1. The fuel-cost function for three thermal plants in Rs./h are given by

C1 = 500 + 5.3P1 + 0.004 P12

C2 = 400 + 5.5P2 + 0.006 P22

C3 = 200 + 5.8P3 + 0.009 P32

Where P1, P2 and P3 are in MW. The total load, PD is 800 MW. Neglecting line losses and generator

limits, find the optimal dispatch and the total cost in Rs./h.

(a) by analytical method.(b) by graphical demonstration.

(c) by iterative technique using the gradient method.

2. Find the optimal dispatch and the total cost in Rs./h for the thermal plants of the above example, when the

total load is 975 MW with the following generator limits (in MW):

200 ≤ P1 ≤ 450

150 ≤ P2 ≤ 350

100 ≤ P3 ≤ 225

3. The fuel-cost of three thermal plants of a power system are:

C1 = 200 + 7.0 P1 + 0.008 P12

C2 = 180 + 6.3 P2 + 0.009 P22

C3 = 140 + 6.8 P3 + 0.007 P32

Where P1, P2 and P3 are in MW. Plant outputs are subject to the following limits (in MW)

10 ≤ P1 ≤ 85

10 ≤ P2 ≤ 80

10 ≤ P3 ≤ 70

For this problem, assume the real power loss is given by the simplified expression:

PL (pu) = 0.0218 P12

(pu) + 0.0228 P22

(pu) + 0.0179 P32

(pu)

Where the loss coefficients are specified in per unit on a 100 MVA base. Determine the optimal dispatch

of generation when the total system load is 150 MW.4. Write a program in MATLAB, for n generators with all possible options of including/neglecting losses

and generator limits. Program must input the coefficients of fuel-cost function of each generator and the

simplified expression of real power loss (if considered).



Assignment – 4

1. Following figure shows the one line diagram of a simple three bus power system with generators at buses 1

and 3. The magnitude of voltage at bus 1 is adjusted to 1.05 pu. Voltage magnitude at bus 3 is fixed at 1.04

pu with a real power generation of 200 MW. A load consisting of 400 MW and 250 Mvar is taken from bus

2. Line impedances are marked in pu on a 100 MVA base, and the line charging susceptances are

neglected. Obtain the power flow solution by:

a. Gauss-Seidel Method

b. Newton-Raphson Methodc. Fast-De-Coupled Method

2. Write a program in MATLAB for maximum 10 bus system to obtain the power flow solution by:

a. Gauss-Seidel Method

b. Newton-Raphson Method

c. Fast-De-Coupled Method

Assignment 5

1. A 60-Hz synchronous generator having inertia constant H = 9.94 MJ/MVA and the transient reactance X d

= 0.3 per unit is connected to an infinite bus through a purely reactive circuit as shown in the figure. The

reactances are marked on the diagram on a common system base. The generator is delivering real power of0.6 per unit, 0.8 power factor lagging to the infinite bus at a voltage of V = 1 per unit. Assume the per unit

damping power coefficient is D = 0.138. Consider a small disturbance of Δδ = 10°. For example, the

breakers open and then quickly close. Obtain equations describing the motion of the rotor angle and the

generator frequency. Also develop MATLAB commands for above two parameters.

2. The generator of (1) is operating in the steady state at δ0 = 16.79° when the input power is increased by a

small amount ΔP = 0.2 per unit. The generator excitation and the infinite bus bar voltage are the same as

before, i.e. E' = 1.35 per unit and V = 1.0 per unit.

a) Obtain the step response for the rotor angle and the generator frequency.

b) Obtain the response using the MATLAB step function.

c) Obtain a SIMULINK block diagram representation of the state-space model and simulate to

obtain the response.



Assignment 6

1. The one-line diagram of a simple power system is shown in the figure below. The neutral of each generator

is grounded through a current-limiting reactor of 0.25/3 per unit on a 100-MVA base. The system data

expressed in per unit on a common 100 MVA base is tabulated below. The generators are running on no-

load at their rated voltage and rated frequency with their emfs in phase. Determine the fault current for the

following faults:

a) A balanced three-phase fault at bus 3 through a fault impedance Zf = j0.1 per unit.

b) A single line-to-ground fault at bus 3 through a fault impedance Zf = j0.l per unit.c) A line-to-line fault at bus 3 through a fault impedance Zf = j0.l per unit.

d) A double line-to-ground fault at bus 3 through a fault impedance Zf = j0.l per unit.

2. Solve (1), using the bus impedance matrix. In addition, for each type of fault determine the bus voltages

and the line currents during fault.

3. Write MATLB programs for (1) and (2).

assigment_EPSD_Lab.pdf

Documents

Transcript of assigment_EPSD_Lab.pdf