- #1

Edy56

- 38

- 5

- Homework Statement
- In the electrical circuit shown determine:

Impedance Z so that it develops on it maximum active power and calculate that power.

- Relevant Equations
- none

So I have calculated Zab which is 3-3j (it's correct).

Now I have to calculate (Uab)0. This is where I just get completely lost.

In my opinion:

(Uab)0=E

_{3}+I

_{3}*R

_{3}+I

_{c1}*X

_{c1}+E

_{4}

Note: I recognize these currents are not shown in the picture, but based on their indexes and basic logic I hope you understand where I imagine them being.

Now obviously I am missing I3 and Ic1 so I decided to try to use node potential method to determine their values.

These are my equations:

U

_{10}*(1/(jX

_{l1}+R

_{1})+1/(-jX

_{c})+1/R

_{3})-U

_{20}*(1/jX

_{l1}) = E

_{1}/(jX

_{l1}+R

_{1}) +E

_{3}/R

_{3}

U

_{20}(1/(R

_{1}+jX

_{l1})+1/(-jX

_{c2}))-U

_{30}(1/-jX

_{c2})-U

_{10(}1/(jX

_{l1}+R

_{1}+)= J+ E

_{1}/(jX

_{l1}+R

_{1}) + E

_{2}/(-jX

_{c2})

My biggest concern is regarding the branch with R

_{3}and E

_{3}. Because of the break at node 'a', I would assume there is no current flowing there, but I have a generator there so I am confused.