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Flickermeter is a term used for a system that measures the obnoxiousness of flicker caused by voltage fluctuations. The processing performed by a signal chain of this system is very complicated. Thus, it is not easy to obtain the output values only by analytical mean. The aim of this paper is to obtain a simple model of a flickermeter for a case of frequency modulation (FM) of the input signal. There is still a lack of a International Electrotechnical Commission flickermeter standard specification for that case. In this paper, a proposal was made to determine such a model at FM with slowly varying signals and signals in a frequency range from 1 Hz to 155 Hz. The quality of characteristic approximation evaluated was based on numerical simulations with sinusoidal as well as rectangular waveforms as input signals. The presented model makes it possible to clearly understand the flickermeter signal chain operation and helps to verify the functioning of a real measuring device in the considered frequency range.