7-level inverter with fundamental switching frequency strate

[vishnu.m277]

Please HELP me to solve

hi, am doing project on 7-level inverter with fundamental switching frequency strategy , for that i need to solve the fallowing equations by Newton-Raphson method. Please help me on solving below equations

cosΘ1+cosΘ2+cosΘ3=0.6
cos5Θ1+cos5Θ2+cos5Θ3=0
cos7Θ1+cos7Θ2+cos7Θ3=0

 

[_Eduardo_]

Re: Please HELP me to solve

cosΘ1+cosΘ2+cosΘ3=0.6
cos5Θ1+cos5Θ2+cos5Θ3=0
cos7Θ1+cos7Θ2+cos7Θ3=0

The solution doesn't exist for 0< θi < Π/2


cosΘ1+cosΘ2+cosΘ3 = K
cos5Θ1+cos5Θ2+cos5Θ3 = 0
cos7Θ1+cos7Θ2+cos7Θ3 = 0

No exist triplets 0< θi < Π/2 for K < ~1.2