How to solve equations with the warning "Unable to find explicit solution".

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Aditya Zade 2023-12-29

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https://ww2.mathworks.cn/matlabcentral/answers/2064856-how-to-solve-equations-with-the-warning-unable-to-find-explicit-solution

评论： Dyuman Joshi 2023-12-29

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I need to find an expression for tzvs_p.

clc

clear

syms Vp Ip2 ws wp Ie theta_e Rp Vg real

Bp = atan2( ( -Ip2 - ( ( ws^2 / ( wp^2 - ws^2 ) ) * ( Ie / 2 ) * sin( theta_e ) ) ), ( ( -Vp / Rp ) + ( Vg / Rp ) + ( ( wp * ws / ( wp^2 - ws^2 ) ) * ( Ie / 2 ) * cos( theta_e ) ) ) ) ;

Ap = ( -Vp + Vg + ( ( wp * ws * Rp / ( wp^2 - ws^2 ) ) * ( Ie / 2 ) * cos( theta_e ) ) ) / cos( Bp ) ;

syms tzvs_p real

tzvs_p_equation = Vp == ( Ap * cos( wp * tzvs_p + Bp ) ) - Vg - ( ( wp * ws * Rp / ( wp^2 - ws^2 ) ) * ( Ie / 2 ) * cos( ws * tzvs_p - theta_e ) ) ;

tzvs_p = solve( tzvs_p_equation, tzvs_p )

Warning: Unable to find explicit solution. For options, see help.

tzvs_p = Empty sym: 0-by-1

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Aditya Zade 2023-12-29

编辑：Aditya Zade 2023-12-29

Vp = 480 ;

Ip2 = 7.296 ;

ws = 6.2832e+05 ;

wp = 8.6986e+06 ;

Ie = 14.137 ;

theta_e = 0.5924 ;

Rp = 328.4596 ;

Vg = 521.5385 ;

These are the actual values where wp >> ws.

Could any assumptions be made to get an expression?

Dyuman Joshi 2023-12-29