The Kirchhoff laws for the electrical circuits are basic laws governing the behavior of electric circuits. The current law expresses the continuity and conservation of the electrical currents. The voltage law expresses the fact that the the potential energy is conserved in the circuits, which means that every node has only a single specific potential. It is applied to analyse the dynamic behavior of the circuits in the time domain. It is important to say that the terminal i-v relations for all the elements and components in the circuit must be known. In case of AC steady state analysis. all the electrical sources must have the same frequency. which is the only synchronicity condition that i know for application of the Kirchhoff circuit laws. This is embedded in the impedance definition. It is clear that the impedance depends on frequency hence one has to fix the frequency to determine the phasor.
the KVL and KCL only applicable for loop and node.In a synchronous machine stator and rotor considered and drawn into the equivalent circuit it contains R,L series or parallel.those kind of the circuit to be form a loop or mesh.It can be analysed by applying these two laws only
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