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This paper presents simple lumped element equivalent circuit for the coplanar waveguide (CPW) square spiral inductor. The circuit is based on physical modelling which takes into consideration the parasitic effects inherent in the CPW spiral inductor. The obtained scattering parameters are in good agreement with fullwave and quasi-static results available in the literature. Such a simple circuit model is suitable for computer aided design (CAD) purposes, and could be used along with optimization techniques for synthesis purposes. Moreover, the particle swarm optimization (PSO) technique is used to design the CPW inductor. Specifically, given the desired inductance, the PSO is used to find the dimensions and the number of turns of the spiral.
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Dib et al. (2008) studied this question.
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