A generalized goodness function and quality factors of advanced electrical machines for hypervelocity accelerators

A system of goodness functions and quality indicators for exploring the relative merits of pulsed electrical machines or electromagnetic accelerators will have to be based on a rigorous theoretical foundation, both from electromechanical and electrodynamical points of view. For electromechanical aspects, the general theory of electrical machines, together with Kron\´s tensorial formulations for transient and pulsed conversion lead to a quality indication as a "goodness factor" or "goodness function" generalized from steady state to pulsed electrical machines and, further, to systems of machines (rotating power supply self-excitation system, accelerator). By using Maxwell\´s equations for moving media and the notion of flux derivative. Three different formulations for electromagnetic forces in electrical machines are introduced and interrelated leading to an assessment for the electromagnetic recoil and for the distribution of forces in air core and iron core advanced machines and electromagnetic accelerators.