Optimization in Oscillators and Autodynes with Stabilizing Resonators

Abstract

This paper is devoted to the criteria choice and determination of optimal operation modes and parameters of oscillating systems of double- and triple-circuit oscillators taking into account the contradictory requirements to the generating power, the frequency instability and the oscillation stability. The optimization algorithm is based on the maximum search of the objective function (OF) at the specified regeneration factor. As the objective function, we choose the function equaled to the product of the partial power of the first circuit and the frequency stabilization coefficient in the power $\nu=1\ldots 2$. At $\nu=1$, the OF maximum corresponds to the maximum of the frequency stabilization coefficient; at $\nu=2$-to the minimum of the phase diffusion coefficient. At intermediate $\nu$ value, the compromise task solution is provided. At optimization, we choose the oscillating system locus shape, at which the hysteresis phenomena absence is provided at oscillator tuning on the nominal frequency. Recommendations on the efficiency choice of the load coupling circuit are discussed.