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A new modelling approach which exploits only vector nonlinear measurements is described. The parameters of the I-V and Q-V non-linear constitutive functions are identified by combining low- and high-frequency large-signal measurements with a numerical optimisation routine. Low-frequency dispersion manifesting in the I-V characteristics is also correctly accounted for. As a case study a gallium nitride HEMT on silicon carbide substrate is considered and very good agreement between measurements and simulation is achieved.