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In: Electrical Engineering

Project Assignment Construct the Y_bus matrix of a given power network by computer programming, preferably MATLAB....

Project Assignment

Construct the Y_bus matrix of a given power network by computer programming, preferably MATLAB. Note that the necessary data are available in the IEEE common data format; and as the working data, you can use the IEEE 14-bus system data.

Due Date: December 26, 2019.

IEEE-Format Data for 14-Bus System

08/19/93 UW ARCHIVE           100.0  1962 W IEEE 14 Bus Test Case
BUS DATA FOLLOWS                            14 ITEMS
   1 Bus 1     HV  1  1  3 1.060    0.0      0.0      0.0    232.4   -16.9     0.0  1.060     0.0     0.0   0.0    0.0        0
   2 Bus 2     HV  1  1  2 1.045  -4.98     21.7     12.7     40.0    42.4     0.0  1.045    50.0   -40.0   0.0    0.0        0
   3 Bus 3     HV  1  1  2 1.010 -12.72     94.2     19.0      0.0    23.4     0.0  1.010    40.0     0.0   0.0    0.0        0
   4 Bus 4     HV  1  1  0 1.019 -10.33     47.8     -3.9      0.0     0.0     0.0  0.0       0.0     0.0   0.0    0.0        0
   5 Bus 5     HV  1  1  0 1.020  -8.78      7.6      1.6      0.0     0.0     0.0  0.0       0.0     0.0   0.0    0.0        0
   6 Bus 6     LV  1  1  2 1.070 -14.22     11.2      7.5      0.0    12.2     0.0  1.070    24.0    -6.0   0.0    0.0        0
   7 Bus 7     ZV  1  1  0 1.062 -13.37      0.0      0.0      0.0     0.0     0.0  0.0       0.0     0.0   0.0    0.0        0
   8 Bus 8     TV  1  1  2 1.090 -13.36      0.0      0.0      0.0    17.4     0.0  1.090    24.0    -6.0   0.0    0.0        0
   9 Bus 9     LV  1  1  0 1.056 -14.94     29.5     16.6      0.0     0.0     0.0  0.0       0.0     0.0   0.0    0.19       0
  10 Bus 10    LV  1  1  0 1.051 -15.10      9.0      5.8      0.0     0.0     0.0  0.0       0.0     0.0   0.0    0.0        0
  11 Bus 11    LV  1  1  0 1.057 -14.79      3.5      1.8      0.0     0.0     0.0  0.0       0.0     0.0   0.0    0.0        0
  12 Bus 12    LV  1  1  0 1.055 -15.07      6.1      1.6      0.0     0.0     0.0  0.0       0.0     0.0   0.0    0.0        0
  13 Bus 13    LV  1  1  0 1.050 -15.16     13.5      5.8      0.0     0.0     0.0  0.0       0.0     0.0   0.0    0.0        0
  14 Bus 14    LV  1  1  0 1.036 -16.04     14.9      5.0      0.0     0.0     0.0  0.0       0.0     0.0   0.0    0.0        0
-999 
BRANCH DATA FOLLOWS                         20 ITEMS
   1    2  1  1 1 0  0.01938   0.05917     0.0528     0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   1    5  1  1 1 0  0.05403   0.22304     0.0492     0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   2    3  1  1 1 0  0.04699   0.19797     0.0438     0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   2    4  1  1 1 0  0.05811   0.17632     0.0340     0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   2    5  1  1 1 0  0.05695   0.17388     0.0346     0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   3    4  1  1 1 0  0.06701   0.17103     0.0128     0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   4    5  1  1 1 0  0.01335   0.04211     0.0        0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   4    7  1  1 1 0  0.0       0.20912     0.0        0     0     0    0 0  0.978     0.0 0.0    0.0     0.0    0.0   0.0
   4    9  1  1 1 0  0.0       0.55618     0.0        0     0     0    0 0  0.969     0.0 0.0    0.0     0.0    0.0   0.0
   5    6  1  1 1 0  0.0       0.25202     0.0        0     0     0    0 0  0.932     0.0 0.0    0.0     0.0    0.0   0.0
   6   11  1  1 1 0  0.09498   0.19890     0.0        0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   6   12  1  1 1 0  0.12291   0.25581     0.0        0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   6   13  1  1 1 0  0.06615   0.13027     0.0        0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   7    8  1  1 1 0  0.0       0.17615     0.0        0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   7    9  1  1 1 0  0.0       0.11001     0.0        0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   9   10  1  1 1 0  0.03181   0.08450     0.0        0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
   9   14  1  1 1 0  0.12711   0.27038     0.0        0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
  10   11  1  1 1 0  0.08205   0.19207     0.0        0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
  12   13  1  1 1 0  0.22092   0.19988     0.0        0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
  13   14  1  1 1 0  0.17093   0.34802     0.0        0     0     0    0 0  0.0       0.0 0.0    0.0     0.0    0.0   0.0
-999
LOSS ZONES FOLLOWS                     1 ITEMS
  1 IEEE 14 BUS
-99
INTERCHANGE DATA FOLLOWS                 1 ITEMS
 1    2 Bus 2     HV    0.0  999.99  IEEE14  IEEE 14 Bus Test Case
-9
TIE LINES FOLLOWS                     0 ITEMS
-999
END OF DATA

IEEE Common Data Format

Partial Description of the IEEE Common Data Format for the    
Exchange of Solved Load Flow Data

The complete description can be found in the paper "Common Data
Format for the Exchange of Solved Load Flow Data", Working Group on a
Common Format for the Exchange of Solved Load Flow Data, _IEEE
Transactions on Power Apparatus and Systems_, Vol. PAS-92, No. 6,
November/December 1973, pp. 1916-1925.

The data file has lines of up to 128 characters. The lines are grouped
into sections with section headers. Data items are entered in specific
columns. No blank items are allowed, enter zeros instead. Floating point
items should have explicit decimal point. No implicit decimal points
are used.

Data type codes: A - Alphanumeric (no special characters)
                 I - Integer
                 F - Floating point
                 * - Mandatory item

Title Data
==========

First card in file.

Columns  2- 9   Date, in format DD/MM/YY with leading zeros. If no date
                provided, use 0b/0b/0b where b is blank.

Columns 11-30   Originator's name (A)

Columns 32-37   MVA Base (F*)

Columns 39-42   Year (I)

Column  44      Season (S - Summer, W - Winter)

Column  46-73   Case identification (A)

Bus Data *
==========

Section start card *:
---------------------

Columns  1-16   BUS DATA FOLLOWS (not clear that any more than BUS in
                1-3 is significant) *

Columns  ?- ?   NNNNN ITEMS (column not clear, I would not count on this)

Bus data cards *:
-----------------

Columns  1- 4   Bus number (I) *
Columns  7-17   Name (A) (left justify) *
Columns 19-20   Load flow area number (I) Don't use zero! *
Columns 21-23   Loss zone number (I)
Columns 25-26   Type (I) *
                 0 - Unregulated (load, PQ)
                 1 - Hold MVAR generation within voltage limits, (PQ)
                 2 - Hold voltage within VAR limits (gen, PV)
                 3 - Hold voltage and angle (swing, V-Theta) (must always
                      have one)
Columns 28-33   Final voltage, p.u. (F) *
Columns 34-40   Final angle, degrees (F) *
Columns 41-49   Load MW (F) *
Columns 50-59   Load MVAR (F) *
Columns 60-67   Generation MW (F) *
Columns 68-75   Generation MVAR (F) *
Columns 77-83   Base KV (F)
Columns 85-90   Desired volts (pu) (F) (This is desired remote voltage if
                this bus is controlling another bus.
Columns 91-98   Maximum MVAR or voltage limit (F)
Columns 99-106  Minimum MVAR or voltage limit (F)
Columns 107-114 Shunt conductance G (per unit) (F) *
Columns 115-122 Shunt susceptance B (per unit) (F) *
Columns 124-127 Remote controlled bus number

Section end card:
-----------------

Columns  1- 4   -999

Branch Data *
=============

Section start card *:
---------------------

Columns  1-16   BRANCH DATA FOLLOWS (not clear that any more than BRANCH
                is significant) *

Columns 40?- ?  NNNNN ITEMS (column not clear, I would not count on this)

Branch data cards *:
--------------------

Columns  1- 4   Tap bus number (I) *
                 For transformers or phase shifters, the side of the model
                 the non-unity tap is on
Columns  6- 9   Z bus number (I) *
                 For transformers and phase shifters, the side of the model
                 the device impedance is on.
Columns 11-12   Load flow area (I)
Columns 13-14   Loss zone (I)
Column  17      Circuit (I) * (Use 1 for single lines)
Column  19      Type (I) *
                 0 - Transmission line
                 1 - Fixed tap
                 2 - Variable tap for voltage control (TCUL, LTC)
                 3 - Variable tap (turns ratio) for MVAR control
                 4 - Variable phase angle for MW control (phase shifter)
Columns 20-29   Branch resistance R, per unit (F) *
Columns 30-40   Branch reactance X, per unit (F) * No zero impedance lines
Columns 41-50   Line charging B, per unit (F) * (total line charging, +B)
Columns 51-55   Line MVA rating No 1 (I) Left justify!
Columns 57-61   Line MVA rating No 2 (I) Left justify!
Columns 63-67   Line MVA rating No 3 (I) Left justify!
Columns 69-72   Control bus number
Column  74      Side (I)
                 0 - Controlled bus is one of the terminals
                 1 - Controlled bus is near the tap side
                 2 - Controlled bus is near the impedance side (Z bus)
Columns 77-82   Transformer final turns ratio (F)
Columns 84-90   Transformer (phase shifter) final angle (F)
Columns 91-97   Minimum tap or phase shift (F)
Columns 98-104  Maximum tap or phase shift (F)
Columns 106-111 Step size (F)
Columns 113-119 Minimum voltage, MVAR or MW limit (F)
Columns 120-126 Maximum voltage, MVAR or MW limit (F)

Section end card:
-----------------

Columns  1- 4   -999

Loss Zone Data
==============

Section start card
------------------

Columns  1-16   LOSS ZONES FOLLOWS (not clear that any more than LOSS
                is significant)

Columns 40?- ?  NNNNN ITEMS (column not clear, I would not count on this)

Loss Zone Cards:
----------------

Columns  1- 3   Loss zone number  (I)
Columns  5-16   Loss zone name (A)

Section end card:
-----------------

Columns  1- 3   -99

Interchange Data *
==================

Section start card
------------------

Columns  1-16   INTERCHANGE DATA FOLLOWS (not clear that any more than 
                first word is significant).
Columns 40?- ?  NNNNN ITEMS (column not clear, I would not count on this)

Interchange Data Cards *:
-------------------------

Columns  1- 2   Area number (I) no zeros! *
Columns  4- 7   Interchange slack bus number (I) *
Columns  9-20   Alternate swing bus name (A)
Columns 21-28   Area interchange export, MW (F) (+ = out) *
Columns 30-35   Area interchange tolerance, MW (F) *
Columns 38-43   Area code (abbreviated name) (A) *
Columns 46-75   Area name (A)

Section end card:
-----------------

Columns  1- 2   -9

Tie Line Data
=============

Section start card
------------------

Columns  1-16   TIE LINES FOLLOW (not clear that any more than TIE
                is significant)

Columns 40?- ?  NNNNN ITEMS (column not clear, I would not count on this)

Tie Line Cards:
---------------

Columns  1- 4   Metered bus number (I)
Columns  7-8    Metered area number (I)
Columns  11-14  Non-metered bus number (I)
Columns  17-18  Non-metered area number (I)
Column   21     Circuit number

Section end card:
-----------------

Columns  1- 3   -999

Solutions

Expert Solution

solution::

Since the line and bus data given here are very big, I am making them compact here. You can easily get the information relating it to the above data ==>

MATLAB Code ==>

Data file code (Data is saved as matrices in 'data14.m' file ==>

linedata=[1 1 2 .01938 .05917 .0264 1;
2 2 3 .04699 .19797 .0219 1;
3 2 4 .05811 .17632 .0187 1;
4 1 5 .05403 .22304 .0246 1;
5 2 5 .05695 .17388 .0170 1;
6 3 4 .06701 .17103 .0173 1;
7 4 5 .01335 .04211 .0064 1;
8 5 6 0 .25202 0 .932;
9 4 7 0 .20912 0 .978;
10 7 8 0 .17615 0 1;
11 4 9 0 .55618 0 .969;
12 7 9 0 .11001 0 1;
13 9 10 .03181 .08450 0 1;
14 6 11 .09498 .19890 0 1;
15 6 12 .12291 .25581 0 1;
16 6 13 .06615 .13027 0 1;
17 9 14 .12711 .27038 0 1;
18 10 11 .08205 .19207 0 1;
19 12 13 .22092 .19988 0 1;
20 13 14 .17093 .34802 0 1];

busdata=[1 1 1.06 0 0 0 0 0 0 0;
2 3 1.045 .217 .127 .40 0 -.4 .5 0;
3 3 1.010 .942 .190 0 0 -.0 .4 0;
4 2 1 .478 -.039 0 0 0 0 0;
5 2 1 .076 .016 0 0 0 0 0;
6 3 1.07 .112 .075 0 0 -.06 .24 0;
7 2 1 0 0 0 0 0 0 0;
8 3 1.09 0 0 0 0 -.06 .24 0;
9 2 1 .295 .166 0 0 0 0 .19;
10 2 1 .09 .058 0 0 0 0 0;
11 2 1 .035 .018 0 0 0 0 0;
12 2 1 .061 .016 0 0 0 0 0;
13 2 1 .135 .058 0 0 0 0 0;
14 2 1 .149 .05 0 0 0 0 0];

Then, in the same folder, create the main code file ==>

clc
clear all
data14 %% loading the data
[busno,buscol]=size(busdata);
[lineno,linecol]=size(linedata);

%Form YBUS :
ybus(busno,busno)=0;
for(i=1:lineno)
bus1=linedata(i,2);
bus2=linedata(i,3);
z=linedata(i,4)+j*linedata(i,5);
ysh=linedata(i,6);
ts=linedata(i,7);
ts2=ts*ts;
y=1/z;
ybus(bus1,bus1)=ybus(bus1,bus1)+j*ysh+(1/ts2)*y;
ybus(bus2,bus2)=ybus(bus2,bus2)+j*ysh+y;
ybus(bus1,bus2)=ybus(bus1,bus2)-(1/ts)*y;
ybus(bus2,bus1)=ybus(bus1,bus2);
end
%Add Shunt capacitance :
for(i=1:busno)
ybus(i,i)=ybus(i,i)+j*busdata(i,10);
end

RESULTS ==>

>> ybus

ybus =

Columns 1 through 4

6.0250 -19.4471i -4.9991 +15.2631i 0.0000 + 0.0000i 0.0000 + 0.0000i
-4.9991 +15.2631i 9.5213 -30.2707i -1.1350 + 4.7819i -1.6860 + 5.1158i
0.0000 + 0.0000i -1.1350 + 4.7819i 3.1210 - 9.8115i -1.9860 + 5.0688i
0.0000 + 0.0000i -1.6860 + 5.1158i -1.9860 + 5.0688i 10.5130 -38.6352i
-1.0259 + 4.2350i -1.7011 + 5.1939i 0.0000 + 0.0000i -6.8410 +21.5786i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 4.8895i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 1.8555i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i

Columns 5 through 8

-1.0259 + 4.2350i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
-1.7011 + 5.1939i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
-6.8410 +21.5786i 0.0000 + 0.0000i 0.0000 + 4.8895i 0.0000 + 0.0000i
9.5680 -35.5275i 0.0000 + 4.2574i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 4.2574i 6.5799 -17.3407i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 -19.5490i 0.0000 + 5.6770i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 5.6770i 0.0000 - 5.6770i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 9.0901i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i -1.9550 + 4.0941i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i -1.5260 + 3.1760i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i -3.0989 + 6.1028i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i

Columns 9 through 12

0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 1.8555i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i -1.9550 + 4.0941i -1.5260 + 3.1760i
0.0000 + 9.0901i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i
5.3261 -24.0925i -3.9020 +10.3654i 0.0000 + 0.0000i 0.0000 + 0.0000i
-3.9020 +10.3654i 5.7829 -14.7683i -1.8809 + 4.4029i 0.0000 + 0.0000i
0.0000 + 0.0000i -1.8809 + 4.4029i 3.8359 - 8.4970i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i 4.0150 - 5.4279i
0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i -2.4890 + 2.2520i
-1.4240 + 3.0291i 0.0000 + 0.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i

Columns 13 through 14

0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i
-3.0989 + 6.1028i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i -1.4240 + 3.0291i
0.0000 + 0.0000i 0.0000 + 0.0000i
0.0000 + 0.0000i 0.0000 + 0.0000i
-2.4890 + 2.2520i 0.0000 + 0.0000i
6.7249 -10.6697i -1.1370 + 2.3150i
-1.1370 + 2.3150i 2.5610 - 5.3440i

Please note the fact that ybus is a 14*14 matix.

NOTE - Hope it helps. Thanks...If you need to discuss anything, please let me know in the comments..please give me like

Manojponduru answered 5 days ago

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Construct an AoA network for the 'Project Infiltration', and explain how the activities,events and symbols are applied. Identify and briefly different techniques which you have considered to use in order to draw the AoN network for 'Project Infiltration'. Calculate the total duration of 'Project Infiltration'. Calculate the different forward and backward passes. Calculate the float/slack of 'Project Infiltration'. Explain the critical path of 'Project Infiltration', and ensure that the reader understands the importance of the critical path.

Description CSCI 1151, Fall 2019 Programming Assignment 5 – Structure Construct an array of a structure...

Description CSCI 1151, Fall 2019 Programming Assignment 5 – Structure Construct an array of a structure to store the information of vehicles. This structure should consist of: an integer for the vehicle identification number (ID); an integer for the mile driven; an integer for the number of gallons used by the vehicle; and a string for the vehicle’s manufacture. Write a C program that get (input) the information of the vehicles from a file, cardb.txt, one structure per vehicle. Your...

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