Estimating the impedance of a synchrotron component from beam-induced power loss

A method for a first-order approximation estimation of the longitudinal impedance of a synchrotron component, starting from power loss measurements on the device, is proposed. This method also estimates the resonance frequency and the quality factor of the impedance after the execution of several machine runs, without disconnecting the device. After a detailed description of the method, its suitability is demonstrated through a practical case study using power loss measurements of the Large Hadron Collider (LHC) at the European Organization for Nuclear Research (CERN).