Abstract
PurposeThe purpose of this paper is to show that the computation of time-periodic signals for coupled antenna-circuit problems can be substantially accelerated by means of the single shooting method. This allows an efficient analysis of nonlinearly loaded coupled loop antennas for near field communication (NFC) applications.Design/methodology/approachFor the modelling of electrically small coupled field-circuit problems, the partial element equivalent circuit (PEEC) method shows to be very efficient. For analysing the circuit-like description of the coupled problem, this paper developed a generalised modified nodal analysis (MNA) and applied it to specific NFC problems.FindingsIt is shown that the periodic steady state (PSS) solution of the resulting differential-algebraic system can be computed very time efficiently by the single shooting method. A speedup of roughly 114 to conventional transient approaches can be achieved.Practical implicationsThe proposed approach appears to be an efficient alternative for the computation of time PSS solutions for nonlinear circuit problems coupled with discretised conductive structures, where the homogeneous solution is not of interest.Originality/valueThe present paper explores the implementation and application of the shooting method for nonlinearly loaded coupled antenna-circuit problems based on the PEEC method and shows the efficiency of this approach.
Highlights
Before introducing a near field communication (NFC) device on the market, a rather large number of standardisation tests have to be carried out, which are time-consuming, expensive and require a prototype device
Because we are interested in the periodic steady state (PSS) solution only, we propose to apply the single shooting method, for instance, (Kundert et al, 1990, pp. 65–70) or (Kvasnicka 2020, pp. 42–45), which solves the underlying differential-algebraic equation (DAE) in terms of a boundary value problem (BVP) instead of an initial value problem (IVP) as in conventional transient solution strategies
Based on the quasi-static partial element equivalent circuit (PEEC) method for conductive structures, the NFC problem directly coupled with a nonlinear electrical circuit could be modelled
Summary
Before introducing a near field communication (NFC) device on the market, a rather large number of standardisation tests have to be carried out, which are time-consuming, expensive and require a prototype device. To overcome this problem, the idea is to develop a digital twin of the NFC device and carry out those tests in terms of numerical simulations, as e.g. proposed in The NFC-IC as well as the standardised test equipment, show a strong nonlinear electric behaviour. Because we are interested in the periodic steady state (PSS) solution only, we propose to apply the single shooting method, for instance, (Kundert et al, 1990, pp. 65–70) or (Kvasnicka 2020, pp. 42–45), which solves the underlying differential-algebraic equation (DAE) in terms of a boundary value problem (BVP) instead of an initial value problem (IVP) as in conventional transient solution strategies
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