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Knowledge Centre >Sample 5 bus system for Load Flow |
Reference
Elements of Power System Analysis
By William D. Stevenson,Jr.
5 bus sample system
Ref. Figure 8.1,
Page No. : 200
ublication : McGRAW-HILL INTERNATIONAL EDITIONS
Problem Definition :
Generators are connected at buses 1 and 3. Loads are indicated at buses 2, 4 and 5. Base values for the system are 100MVA, 138 kV in the high-tension lines considered here. Impedance for the six lines is given the table 8.1. Table 8.2 lists values of real, reactive power and voltage at each bus. Voltage magnitude and angle are to be held constant at the swing bus (Bus1).
System frequency is 60 Hz.
Impedances and line charging for the sample system
| Table : 8.1 |
Line, bus to bus |
Length Km |
Miles |
R
ohms |
X
ohms |
R in p.u |
X in p.u |
Charging MVAR |
1-2 |
64.4 |
40 |
8 |
32 |
0.042 |
0.168 |
4.1 |
1-5 |
48.3 |
30 |
6 |
24 |
0.031 |
0.126 |
3.1 |
2-3 |
48.3 |
30 |
6 |
24 |
0.031 |
0.126 |
3.1 |
3-4 |
128.7 |
80 |
16 |
64 |
0.084 |
0.336 |
8.2 |
3-5 |
80.5 |
50 |
10 |
40 |
0.053 |
0.210 |
5.1 |
4-5 |
96.5 |
60 |
12 |
48 |
0.063 |
0.252 |
6.1 |
P, Q and V at each bus is given in Table 8.2
| Table 8.2 |
Bus
No |
Generator
|
Load |
V per unit |
Remarks |
| P-MW |
Q-Mvar |
P-MW |
Q-Mvar |
1 |
- |
- |
65 |
30 |
1.04<0° |
Swing bus |
2 |
0 |
0 |
115 |
60 |
1.00<0° |
Load bus(inductive) |
3 |
180 |
- |
70 |
40 |
1.02<0° |
Voltage magnitude constant |
4 |
0 |
0 |
70 |
30 |
1.00<0° |
Load bus(inductive) |
5 |
0 |
0 |
85 |
40 |
1.00<0° |
Load bus(inductive) |
Figure 8.2 Digital-Computer solution of load flow for the system of Example 8.1 Base is 100 MVA
| Figure 8.2 |
Bus Code |
Name |
Volts |
Angle |
Generation
MW |
Generation
MVAR |
Load
MW |
Load MVAR |
1-2 |
BIRCH |
1.040 |
0.0 |
234.7 |
100.1 |
65.0 |
30.0 |
1-3 |
ELM |
0.961 |
-6.3 |
0.0 |
0.0 |
115.0 |
60.0 |
2-1 |
MAPLE |
1.020 |
-3.7 |
180.0 |
110.3 |
70.0 |
40.0 |
2-3 |
OAK |
0.920 |
-10.9 |
0.0 |
0.0 |
70.0 |
30.0 |
2-4 |
PINE |
0.968 |
-6.2 |
0.0 |
0.0 |
85.0 |
40.0 |
| LINE FLOW SWING BUS IS 1 |
To Bus |
Bus Name |
MW |
MVAR |
2 |
ELM |
73.98 |
31.55 |
5 |
PINE |
95.68 |
38.56 |
1 |
BIRCH |
-71.41 |
-25.39 |
3 |
MAPLE |
-43.59 |
-34.60 |
2 |
ELM |
44.59 |
35.65 |
4 |
OAK |
40.46 |
18.06 |
5 |
PINE |
24.95 |
16.58 |
3 |
MAPLE |
-38.74 |
-18.90 |
5 |
PINE |
-31.25 |
-11.09 |
1 |
BIRCH |
-92.59 |
-29.14 |
3 |
MAPLE |
-24.44 |
-19.62 |
4 |
OAK |
32.03 |
8.77 |
Base SLD made using MiPower
SLD with Load Flow Analysis Results
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