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This is a lab manual for power system analysis and design lab.
Typology: Study notes
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Name: _______________________ ID: ____________________ Date: ____/____/_______
Objective:
Problem Formulation: The performance equation of the power system may be written of [I bus] = [Y bus] [V bus] (1) Selecting one of the buses as the reference bus, we get (n-1) simultaneous equations. The bus loading equations can be written as Ii = Pi-jQi / Vi* (i=1,2, 3โฆโฆโฆ. n) (2) Where, Pi=Re [โ ๐ ๐= 1 Vi โ Yik Vk] (3) Qi= - Im [โ ๐ ๐= 1 Vi โ Yik Vk] (4) The bus voltage can be written as ๐๐= 1.0/๐๐๐ [Ii โ โ ๐ ๐= 1 ๐๐๐ ๐๐๐] jโ i (i=1, 2โฆโฆโฆโฆn) & i โ slack bus Substituting Ii in the expression for Vi, we get ๐๐new= 1.0/๐๐๐ [Pi โ JQi ๐๐๐^ โ^
We get ๐๐new=1/๐๐๐ [Pi โ JQi ๐๐๐^ โ^
The above equation is the required formula. This equation can be solved for voltages in interactive manner. During each iteration, we compute all the bus voltage and check for convergence is carried out by comparison with the voltages obtained at the end of previous iteration. After the solutions is obtained. The stack bus real and reactive powers, the reactive power generation at other generator buses and line flows can be calculated.
Flowchart: START Read
Lab Task: The figure 1.1 shows the single line diagram of a simple 3 buses power system with generator at bus 1. The magnitude at bus 1 is adjusted to 1.05pu. The scheduled loads at buses 2 and 3 are marked on the diagram. Line impedance are marked in pu. The base value is 100kVA. The line charging susceptances are neglected. Determine the phasor values of the voltage at the load buses 2 and 3.
r
(r+1)
Is i<=n Is V (^) max <=
Compute slack bus power ๐ 1 + ๐๐ 1 and all line flows
Figure 2. Figure 1.
Instructorโs Signature Marks Obtained