Warning: Solutions are parameterized by the symbols: [z, z1], z1.
5 views (last 30 days)
Show older comments
Could I please get help in solving the equtions given below?
clc
clear
V1 = 480 ;
V2 = 587 * ( 1 / 1.36 ) ;
V3 = 400 * ( 1 / 0.85 ) ;
Ld = 30e-6 ;
w = 2 * pi * 100e3 ;
syms phi_grid phi_ev real
P12 = ( V1 * V2 / ( w * Ld ) ) * phi_grid * ( 1 - ( phi_grid / pi ) ) ;
P13 = ( 8 * V1 * V3 / ( pi^2 * w * Ld ) ) * sin( phi_ev ) ;
P32 = ( 8 * V2 * V3 / ( pi^2 * w * Ld ) ) * sin( phi_grid - phi_ev ) ;
P1 = 4000 ;
P2 = -4000 ;
P3 = 0 ;
P2_eq = -P12 - P32 == P2 ;
P3_eq = -P13 + P32 == P3 ;
phi_grid_eq1 = phi_grid < pi / 2 ;
phi_grid_eq2 = phi_grid > 0 ;
phi_ev_eq1 = phi_ev < pi / 2 ;
phi_ev_eq2 = phi_ev > 0 ;
Equations = [ P2_eq P3_eq phi_grid_eq1 phi_grid_eq2 phi_ev_eq1 phi_ev_eq2 ] ;
Solution = solve( Equations, [ phi_grid phi_ev ],'ReturnConditions',1 )
Solution.phi_grid
Solution.phi_ev
0 Comments
Accepted Answer
Torsten
on 27 Nov 2023
Edited: Torsten
on 27 Nov 2023
The "solution" you obtain with the code from above is just a repetition of your equations. Use instead
clc
clear
V1 = 480 ;
V2 = 587 * ( 1 / 1.36 ) ;
V3 = 400 * ( 1 / 0.85 ) ;
Ld = 30e-6 ;
w = 2 * pi * 100e3 ;
syms phi_grid phi_ev real
P12 = ( V1 * V2 / ( w * Ld ) ) * phi_grid * ( 1 - ( phi_grid / pi ) ) ;
P13 = ( 8 * V1 * V3 / ( pi^2 * w * Ld ) ) * sin( phi_ev ) ;
P32 = ( 8 * V2 * V3 / ( pi^2 * w * Ld ) ) * sin( phi_grid - phi_ev ) ;
P1 = 4000 ;
P2 = -4000 ;
P3 = 0 ;
P2_eq = -P12 - P32 == P2 ;
P3_eq = -P13 + P32 == P3 ;
%phi_grid_eq1 = phi_grid < pi / 2 ;
%phi_grid_eq2 = phi_grid > 0 ;
%phi_ev_eq1 = phi_ev < pi / 2 ;
%phi_ev_eq2 = phi_ev > 0 ;
%Equations = [ P2_eq P3_eq phi_grid_eq1 phi_grid_eq2 phi_ev_eq1 phi_ev_eq2 ] ;
%Solution = solve( Equations, [ phi_grid phi_ev ],'ReturnConditions',1 )
Solution = solve([P2_eq,P3_eq])
More Answers (0)
See Also
Categories
Find more on Symbolic Math Toolbox in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!