A digital beam phase loop for the Low Energy Booster

The Direct Digital Synthesizers (DDS) have a proven record of high frequency stability in accelerator beam control. For the Low Energy Booster working in the frequency range of 47 MHz to 60 MHz, a highly stable, high resolution DDS can improve the longitudinal beam stabilities. With the DDS as the source it would be highly desirable to make the beam phase loop digital. In this paper we show the description of the loop hardware and a method to simulate the performance in the presence of loop delay using a control system simulation software called SIMULINK. Some experimental hardware based on DDS system which was used to accelerate the beam in the FNAL booster is discussed.< >