Electrical – Why flow of real power depends on the phase difference of voltage magnitudes

power

Let's say that we have a generator and a RLC circuit. Real and reactive power are tranferred at this system.

Transfer of real power depends on the phase difference between the voltage of the generator and the voltage of the load and transfer of reactive power depends on the difference between the magnitudes of these two voltages( maximum voltage of generator minus maximum voltage of load).

Why is this difference? I thought that more intuitive is the real power to depend on the difference of magnitudes.

Best Answer

Refer to "Power Flow on AC Transmission Lines" for a slideshow.

With apparent-, real- and reactive- powers defined as: $$ S^2 =P^2 +Q^2.$$

The real power \$P\$ flow between two buses is obtained by: $$ P = {V_1 \cdot V_2 \cdot \sin (\delta) \over X}$$ and the reactive power $$ Q = {V_1 \cdot (V_1 - V_2) \cdot \cos (\delta) \over X}.$$