Time Averaged Calculations in Pulse Electrochemical Machining

Electrochemical Machining (ECM) is a manufacturing process based on the controlled anodic dissolution of a metal at large current densities (in the range of 1 A/mm2). Pulse Electrochemical Machining (PECM) involves the application of current or voltage pulses.
An important issue in ECM is the lack of quantitative simulation software to predict the tool shape and machining parameters necessary to produce a given work-piece profile [1-3]. This work performs the calculation of temperature and concentrations.
The problem with the time accurate calculations is that the pulse period T can be orders of magnitude smaller than the time scales on which the variables evolve. Many timesteps have to be calculated, which leads to computationally very expensive calculations.
Plain averaging is not a sufficient solution, because of the coexistence of large and small time scales. Sufficient approximative techniques are presented in this work.