Analytic Modeling Optimal Control of Pulsed Power Supply for Accelerator Magnet

This article introduces the analytic modeling optimal control method in details, aiming at solving special control problems of pulsed power supply for heavy-ion accelerator magnet. These problems include variable waveform, high speed, high precision, and wide dynamic range. To meet these requirements, this method has been proposed as a new choice. The mathematical model is analytic function, which is concerned with the continuous dynamics during topology switching period. Moreover, based on the analytic function, the optimal duty cycle can be calculated by high-performance controller. In simulations, compared with PID regulation, this method has a better ability to track a reference waveform which has a wide dynamic range. Meanwhile, we have made simulations with two magnets and four reference waveforms. The current can be controlled to the reference value at the end of each switching cycle. In experiments, the current of power supply can track above four reference waveforms and the maximum rate of current change is 8000 A/s. There is an excellent agreement between the results of experiments and simulations. Therefore, this control method has been verified.