Analysis of Chaos in Josephson Junctions With External Magnetic Field for High-Precision Voltage Measurement in Electric Vehicles

This paper deals with analysis and control of chaos for high-precision voltage measurement in electric vehicles (EVs) based on Josephson voltage standards. The key is to take into account the effect of external magnetic field in EV environment on Josephson junctions. Based on a modified equivalent circuit model to characterize the Josephson junction, it can be identified that chaos is elicited by the external magnetic field. Consequently, a backstepping controller is designed to suppress the chaos, and hence improve the voltage measurement. Both mathematical derivation and numerical simulation are provided to validate the occurrence of chaos and the feasibility of the control scheme.