This invention provides a
linearization fitting
analysis method for the output frequency
control system of a dual-frequency
induction heating power supply. It unifies the coordinated compensation triggered by frequency increment limiting, frequency increment rate of change limiting, and minimum
frequency interval constraints into a synthetic nonlinear module. Under quasi-steady-state and small-disturbance conditions, a
describing function is used to equivalently linearize this synthetic nonlinear module, obtaining the equivalent
gain related to the fundamental amplitude of the two input channels and forming an equivalent linear
frequency domain model. Subsequently,
frequency domain windows are selected near the high-frequency and low-frequency operating bands, and a unified structure second-order
equivalent model is fitted to the equivalent
frequency response, obtaining two sets of isomorphic low-order
model parameters for the high-frequency and low-frequency channels. Based on these parameters, the
frequency compensation increment required for feedforward compensation is quickly calculated to reduce
online computation and improve real-time performance. When the fitting residual exceeds a preset threshold or enters a strongly nonlinear operating condition,
model parameter updates and model calls are stopped, and the
linearization fitting analysis is exited.