Please see attached sheet, I am trying to solve these 6 equations to find my 6 unknowns. I am not sure what solver to use I tried the guess, find but unsuccessful, I worked the problem one way to show the expected results I am after. Please any suggestions. Thanks
To be perfectly honest with you, I was put off when I looked through your worksheet. Try tidying it up and making it clear exactly what your after. Remember people on this forum are contributing their own time to help, for nothing.
Unfortunately It is is complex problem and not sure how I can clear it up, I do appreciate everyone time and if somone have specific question or feedback I will try to explain as much as possible.
Basically I have complex matrix equations.
To know the answer I started with Z and Y known values and solve this equation above manually for V(x) and I(x). If there is an easier way to solve it please let me know.
Once solved and know the expected results I want to go backward and solve for Z and Y which are really the unknows I am after knowing V(x) and I(x) at 2 conditions. In my example V(0) I(0) V(200) I(200) which are 6 equations and I am looking for 6 unknowns. I have the 6 equations I just do not know or cant get Mathcad to numerically solve it since they are matrices plus complex involving square and Cosh sinh of matrices.....
Any questions or idea which method to try will be appreciated.
I can't really follow what you are trying to do. Equations 1 and 2 represent a series of differential equations. Are you trying to solve for the functions Va, Vb, Vc, Ia, Ib, Ic, or for the variables Z1, Z2, Z3, Y1, Y2, Y3?
The second part of the worksheet solves the differential equatoins using known Y and Z. I won't comment on whether or not your method is correct. I can't see how you arrived at Equation 3. Why didn't you use the built in ODE solvers to do this?
The last part of your worksheet attempts to solve for the variables. The variables you are trying to solve for don't appear in the solve block though. You need to make YYlong and ZZlong functions of Z1, Z2, Z3, and Y1, Y2, Y3. You also need to define ITlong, ZZOlong, ans YYOlong which are currently undefined. I have no idea what to do with the final set of equations, from "equation 3". As written, the have no dependence on any of the variables you are solving for, so they are irrelevant. Either they are valid equalities as written, or they are not. Changing the values of Z1, Z2, Z3, Y1, Y2, Y3 will not affect them though. Finally, the Find syntax should be Find(Z1,Z2,Z3,Y1,Y2,Y3).
Thanks for your reply. Here are my answers to your question.
I am trying to solve for variables Z1,Z2,Z3,Y1,Y2,Y3.
I solved for equations 1 and 2 first with known Z1,Z2,Z3,Y1,Y2,Y3 to know expected results and answer for them, I could not use odesolve these are complex numbers plus I needed the governing equations so I can plug in the solve block.
See attached sheet again all variables are defined I changed the definition from inside the solve block to outside but no results.
