plot graphs for the solutions of swing equation using runge kutta

I need to use runge kutta and solve these equations and then plot the diagrams like shown below,

Can someone guide me through this. I am new to using matlab for such equations

[Rohit Kulkarni]

Hi, I think this may help : https://in.mathworks.com/matlabcentral/fileexchange/50421-numerical-integration-of-generator-swing-equation

[Sam Chak]

Hi @Bhairavi

I wanted to help, but I am new to this "Swing Equation". Can you show me a few steps of the mathematical working by hand and I'll see if it can be coded in MATLAB? If you perform due dilligence, you will reap the rewards.

[KALYAN ACHARJYA]

TUTORIAL: how to ask a question (on Answers) and get a fast answer

https://in.mathworks.com/matlabcentral/answers/6200-tutorial-how-to-ask-a-question-on-answers-and-get-a-fast-answer

Answer 1

[Yash]

Hello Bhairavi,

I understand that you are interested in solving the swing equation of a Power System using the Runge-Kutta method. Currently, MATLAB does not provide an inbuilt function for implementing the Runge-Kutta method. Therefore, you will need to write your own code to solve the equation.

To solve the swing equation using the Runge-Kutta method, you can follow these steps:

1. Gain a thorough understanding of each step involved in the process by solving the equation manually. There are numerous articles and YouTube videos available online that can assist you in this regard. One such video can be found at the following link: https://youtu.be/rfl31iMz2q8.

2. Declare the variables and constants required for your specific problem statement.

3. Since the Runge-Kutta method is an iterative process, you will need to implement a for loop with a specified number of iterations (n).

4. Within the for loop, write the equations and steps obtained from your manual calculations in step 1.

For a better understanding and implementation of the Runge-Kutta method in MATLAB, you can refer to the following MATLAB Answers:

https://www.mathworks.com/matlabcentral/answers/460395-runge-kutta-4th-order-method

https://www.mathworks.com/matlabcentral/answers/1712145-runga-kutta-method-for-system-of-first-order-differential-equations

Additionally, you may find the following MATLAB File Exchange link helpful: https://in.mathworks.com/matlabcentral/fileexchange/50421-numerical-integration-of-generator-swing-equation. Kindly note that I cannot guarantee the accuracy of this particular resource since I have not personally tested it.

I hope these guidelines assist you in addressing your issue.

Best Regards,

Yash