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The maintenance of high-voltage power systems requires the determination of the amplitude and waveforms of fast current pulses that commonly occur in electric equipment. These high-frequency pulses may arise from different sources being partial discharges one of the most important events measured to determine the insulation status of electrical assets. This paper is a step forward in the modelling of Rogowski coils, which are commonly used to measure these pulses. This study was performed by means of a simplified model based on lumped electrical parameters. The model was simulated in Simulink and validated by measuring partial discharges (PD) in two different electrical insulation systems. The validation corroborates that the electrical model can be used to study the time and frequency responses of Rogowski coils with different number of turns and dimensions to obtain a configuration that fits the needs of the designer concerning the type of pulses that she/he wishes to measure. The paper also hints that changing the geometric parameters of the coil can be determinant to simplify the integration of pulses, so the Rogowski coil can be used to measure other type of pulses with different frequency spectra, such as lightning strikes, electrical arcs and post-arc phenomena, switching operations of circuit breakers and gas-insulated switchgears and electromagnetic pulses in general.