In radio engineering, the development of compact, high-power radiation sources is impossible without power of individual sources being combined. The GaN Gunn diodes show a good potential for this application. The calculus of systems, requiring power combination, particularly in the time-delay problems, is handicapped by a lack of analysis and computation techniques, despite all evident advances. In this paper, we apply a new approach and our modification of the numerical Dormand-Prince method to perform time-domain calculation for a non-linear power combination in an active structure formed by a parallel connection between extended sections of strip lines and the Gunn diodes, characterized by a substantial feedback time delay. We have observed and explored complex dependences of the output power and oscillation period on the structure parameters. The results confirm the pronounced non-linear nature of the processes, and furnish an explanation to some real-life effects. The efficiency of the model was tested while analyzing an ultra-wideband field dynamics in a highly non-linear structures with a time delay, taking into account the delayed feedback of active devices toward external inputs. It was proven that simplified models are unsuitable for describing oscillations in non-linear, multicomponent active structures with a time delay, which require a direct time-domain calculation.
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