  Quantum Hall effect (QHE) devices are a pillar of modern quantum electrical
metrology. Electrical networks including one or more QHE elements can be used
as quantum resistance and impedance standards. The analysis of these networks
allows metrologists to evaluate the effect of the inevitable parasitic
parameters on their performance as standards. This paper presents a systematic
analysis of the various circuit models for QHE elements proposed in the
literature, and the development of a new model. This last model is particularly
suited to be employed with the analogue electronic circuit simulator SPICE. The
SPICE macro-model and examples of SPICE simulations, validated by comparison
with the corresponding analytical solution and/or experimental data, are
provided.
