Bus Admittance Matrix Formation in MATLAB: Power System Lab, Study notes of Power Distribution and Utilization

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Power System Analysis and Design Lab
Lab 4
19
Name: _______________________ ID: ____________________ Date: ____/____/_______
Experiment # 4:
Formation of Bus Admittance Matrix using MATLAB
SECTION-I
(CLO 4, PLO 1,5)
Objective:
โ€ข To develop a computer program to form the bus admittance matrix, ๐‘Œ
๐‘๐‘ข๐‘  of a power system.
โ€ข To understand the formation of ๐‘Œ
๐‘๐‘ข๐‘  admittance matrix.
โ€ข To obtain network solution using ๐‘Œ
๐‘๐‘ข๐‘  matrix.
Software Required: MATLAB
Theory:
Bus admittance matrix is often used in power system studies. In most of the power system studies
it is required to form y- bus matrix of the system by considering certain power system parameters
depending upon the type of analysis.
๐‘Œ
๐‘๐‘ข๐‘  matrix is often used in solving load flow problems. It has gained widespread applications
owing to its simplicity of data preparation and the ease with which the bus admittance matrix can
be formed and modified for network changes. Of course, sparsity is one of its greatest advantages
as it heavily reduces computer memory and time requirements. In short circuit analysis, the
generator and transformer impedances must also be considered.
๐‘Œ
๐‘๐‘ข๐‘  may form by inspection method only if there is no mutual coupling between the lines. Every
transmission line should be represented by pi- equivalent.
Algorithm:
Step 1: Read the values of number of buses and the number of lines of the given system.
Step 2: Read the self-admittance of each bus and the mutual admittance between the buses.
Step 3: Calculate the diagonal element term called the bus driving point admittance, Yij which is
the sum of the admittance connected to bus i.
Step 4: The off-diagonal term called the transfer admittance, Yij which is the negative of the
admittance connected from bus i to bus j.
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Name: _______________________ ID: ____________________ Date: ____/____/_______

Experiment # 4:

Formation of Bus Admittance Matrix using MATLAB

SECTION-I

(CLO 4 , PLO 1,5)

Objective:

  • To develop a computer program to form the bus admittance matrix, ๐‘Œ๐‘๐‘ข๐‘  of a power system.
  • To understand the formation of ๐‘Œ๐‘๐‘ข๐‘  admittance matrix.
  • To obtain network solution using ๐‘Œ๐‘๐‘ข๐‘  matrix. Software Required: MATLAB Theory: Bus admittance matrix is often used in power system studies. In most of the power system studies it is required to form y- bus matrix of the system by considering certain power system parameters depending upon the type of analysis. ๐‘Œ๐‘๐‘ข๐‘  matrix is often used in solving load flow problems. It has gained widespread applications owing to its simplicity of data preparation and the ease with which the bus admittance matrix can be formed and modified for network changes. Of course, sparsity is one of its greatest advantages as it heavily reduces computer memory and time requirements. In short circuit analysis, the generator and transformer impedances must also be considered. ๐‘Œ๐‘๐‘ข๐‘  may form by inspection method only if there is no mutual coupling between the lines. Every transmission line should be represented by pi- equivalent. Algorithm: Step 1: Read the values of number of buses and the number of lines of the given system. Step 2: Read the self-admittance of each bus and the mutual admittance between the buses. Step 3: Calculate the diagonal element term called the bus driving point admittance, Yij which is the sum of the admittance connected to bus i. Step 4: The off-diagonal term called the transfer admittance, Yij which is the negative of the admittance connected from bus i to bus j.

Step 5: Check for the end of bus count and print the computed ๐‘Œ๐‘๐‘ข๐‘  matrix. Step 6 : Stop the program and print the results. Flowchart START Enter the mutual admittance between the buses Calculate the diagonal term, Y (^) ii = sum of all admittances connected to bus i. STOP Calculate the off-diagonal term, Y (^) ij = Negative sum of the admittances connected from bus i to bus j. Enter the number of buses,n and lines Set the bus count i = Is i = n i = i + Print Y bus matrix