Analysis of magnetic field integral along regular polygonal discrete loop

This paper proposed a zero-sum magnetic field integral technology to minimize the crosstalk effect in straight light path optical current transducer. The discrete Ampere's law was proposed and studied based on analyzing of the magnetic field integral along a discrete loop, and its mathematical model was established. The Sm model of regular polygonal discrete loop and the mSm model of Sm regular distribution were discussed. The results showed that the Sm model possessed 2m zero-sum points, and the currents which placed on the zero-sum points did not contribute to the magnetic field integral result of Sm model. The origin point interchanged with the zero-sum point when any two Sm models of the mSm model switched places. Based on that conclusion, the zero-sum theorem of Sm model and the reciprocal theorem of mSm model were proposed. The discrete Ampere's law, the zero-sum theorem of Sm model and the reciprocal theorem of mSm model together made up the theory system of magnetic field integral along regular polygonal discrete loop, which still met the Ampere's law.