Ray‐tracing studies have been combined with a simple wave power balance model to provide a complete, albeit approximate, description of microwave power deposition in the ELMO Bumpy Torus (EBT‐I), EBT‐Scale (EBT‐S), and EBT Proof‐of‐Principle (EBT‐P) devices. Electron cyclotron absorption of ordinary and extraordinary waves by the combined core plasma and relativistic annuli is calculated using a fully relativistic damping package developed for theraysgeometrical optics code. The rays are traced in finite‐beta bumpy cylinder plasma equilibria that are obtained from the Oak Ridge National Laboratory (ORNL) two‐dimensional (2D) equilibrium code. These results for direct, single‐pass absorption are combined with results from a statistical model for the deposition of multiple reflected and mode‐converted waves to obtain estimates of the power deposited in the core, surface, and annulus plasma components. Wave absorption by the annuli and by the core components at the fundamental and second harmonic resonances, reflection, and Budden tunneling of the extraordinary mode at the right‐hand cutoff, and conversion between ordinary and extraordinary modes upon wall reflection are the processes included in the power balance model. Experimental measurements of wave power flux on the cavity wall in EBT‐S made with a simple microwave calorimeter are in good agreement with predictions of the model for a variety of operating configurations.