MATLAB: Solution of swing equation which is a 2nd order differential equation.

Question

This is my system.

I Need to solve it by using ode45.

P, M and D are constants.

Thanks for help in advance !!!

Answer 1

It can be solved using ode45 like this.

create 1 function file with the following instructions.

function dydt = swingeqn(~,del,pmax,M,D)

dydt=zeros(2,1);

dydt(1)=del(2);

dydt(2)=-(pmax/M)*sin(del(1))-D*del(2);

Now call it from script file

clc

clear all

pmax=-5;

M=1;

D=0.1;

tspan=[0,10];

del0=[0 1];

[t,del]= ode45(@(t,del) swingeqn(t,del,pmax,M,D),tspan,del0); % Calling the function swingeqn

plot(t,del(:,2));

xlabel('Time in Sec');

ylabel('Delta, Omega');