MHB Power Flow Calculation for Generator Node: Understanding Different Results

aruwin
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Hello.
This is a power flow calculation of the generator node. I tried calculating several times but I still do not get the same values as this one. This one is the answer, by the way. Can someone explain to me why I got a different answer?

I got:
$$P2=−1.25e_1f_2−1.25e_2f_1+4.32e_2f_1−e_3f_2−e_2f_3$$
 

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It's alright now. I just realized the *symbol means complex conjugate.
 
A sphere as topological manifold can be defined by gluing together the boundary of two disk. Basically one starts assigning each disk the subspace topology from ##\mathbb R^2## and then taking the quotient topology obtained by gluing their boundaries. Starting from the above definition of 2-sphere as topological manifold, shows that it is homeomorphic to the "embedded" sphere understood as subset of ##\mathbb R^3## in the subspace topology.

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