For Problem 8.25, determine the complex power delivered to the load in terms of symmetrical components. Verify the answer by adding up the complex power of each of the three phases.

Problem 8.25

A three-phase balanced Y-connected load with series impedances of \((6+j 24) \Omega\) per phase and mutual impedance between any two phases of \(j 3 \Omega\) is supplied by a three-phase unbalanced source with line-to-neutral voltages of \(V_{a n}=200 \angle 25^{\circ}, V_{b n}=100 \angle-155^{\circ}, V_{c n}=80 \angle 100^{\circ} \mathrm{V}\). The load and source neutrals are both solidly grounded. Determine:

(a) the load sequence impedance matrix,

(b) the symmetrical components of the line-to-neutral voltages,

(c) the symmetrical components of the load currents, and

(d) the load currents.