In every link of the enclosed regular chain circuit contains EMF with changing from number of link N according to harmonic law. The methods of currents research and theirs distribution in the elements of enclosed regular chain circuits is given. In article receive the expressions for calculation of currents in all elements of circuit. They contain three components; only one change from number of link N according to harmonic law, two others - according to aperiodical law. The connection between this circuits and damper windings of large synchronous machines (salient pole and non salient pole types) is given.