Power flow analysis issue
In your example, there will be no P consumed or delivered if you consider the inductances to be ideal.

You can work out the voltage at the node between the 2 inductances.
If you assign a name to the node (I've called it n) between the 2 inductances you can get some formulas to work out the voltage at that node. Being that it is a series circuit you can work out the current also. Then voltage x current... This would give you the power flowing through the node n,  

$$ \frac{V_1\angle\theta_1 - V_n\angle\theta_n}{Z_{L1}\angle 90^\circ} = \frac { V_n\angle\theta_n - V_2\angle\theta_2} {Z_{L2}\angle 90^\circ}  $$

Rearrange this and solve for $$ V_n\angle\theta_n $$

For power flow analysis what you've presented would be fairly uncommon in practice. It would make more sense if there was a load at the node n and you were trying to work out what was being delivered to that load. The text book I have is called Power System Analysis and Design by Glover, Sarma and Overbye. It has been a good reference for me in the years since I graduated also.

I hope this was helpful. (The polar notation is a personal preference of mine)