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The modelling of magnetic components of electromagnetic devices requires an accurate representation of hysteresis characteristics of their material. This study proposes a hybrid technique to solve the parameter identification problem of the Jiles-Atherton hysteresis model. The technique leads to a considerable reduction in computations and gives efficient solution. The technique combines two different optimisation techniques in an effective way. An improvement in the convergence rate of the least-square method has been obtained by using a scaled gradient via the Hessian matrix. The results are validated using experimental data obtained by an Epstein-s frame.