How to find voltage stability of 4 bus system (active and reactive power, and reactive power reserved).

Hi, I am doing a project that requires the calculation of voltage stability (active and reactive power, and reactive power reserved). Please assist on how to start the code and get the data set of the four-bus system using Matlab code to calculate the voltage stability in the power system.

[Sam Chak]

Is voltage stability a type of performance index, or is it a rigorous stability proof in the pure mathematical sense?"

A performance index is a quantitative metric used to assess the performance of a system and provide a standardized way to gauge how well the system is performing in various aspects.

A stability proof is a formal demonstration that rigorously establishes the stability of a system, showing that perturbations will not lead to unbounded or chaotic behavior. This often involves demonstrating that certain properties of the system hold true under specific conditions.

Answer 1

[Zuber Khan]

Hi,

I understand that you want to find the voltage stability of a 4-bus system using active and reactive power.

In order to get started, I recommend you to go through the basics of load flow analysis in MATLAB. This can be achieved using Simscape Electrical which is capable of executing a power-flow, also known as load-flow, analysis on electrical power transmission systems that are modeled with Simscape's three-phase electrical domain, whether they are AC, DC, or a combination of both AC and DC systems. For more information regarding the capabilities of Simscape Electrical, refer to the following documentation link:

https://in.mathworks.com/products/simscape-electrical.html

Load-flow analysis is instrumental in ascertaining the steady-state operational characteristics of the electrical system, including voltage levels, phase angles of voltage, as well as the active and reactive power. Now, in order to perform a Load-flow analysis using Simscape Electrical, kindly refer to the following documentation link:

https://in.mathworks.com/help/sps/ug/perform-a-load-flow-analysis-using-simscape-electrical.html

You can also refer to the following example of 2-bus load-flow system for better understanding about implementation:

https://in.mathworks.com/help/sps/ug/2-bus-loadflow.html

Furthermore, the "Load-Flow Analyzer" app can also be utilized for calculating the constant-state values of voltage levels and phase angles, along with the active and reactive power circulation within a network that consists of three-phase AC, DC, or a hybrid of AC/DC systems. Please see the documentation available at the following link for more information:

https://in.mathworks.com/help/sps/ref/loadflowanalyzer-app.html

Lastly, you can also use a third-party tool called "MATPOWER" which is a package of free, open-source Matlab-language M-files for solving steady-state power system simulation and optimization problems, such as power-flow. Refer to the following link for more information:

https://in.mathworks.com/matlabcentral/fileexchange/72085-matpower

I hope this helps.

Best Regards!

Zuber