Method and system for determining phasor components of a periodic waveform

A phasor determination system configured to determine phasors of a periodic waveform, including:

• processing circuitry configured to:
• sample the periodic waveform at a sampling frequency,
• determine a frequency spectrum of the sampled periodic waveform by means of a frequency transform utilizing a Gaussian window, wherein a ratio np defined by a duration (T0) of the sampling of the periodic waveform divided by a width (tw) of the Gaussian window is at least 5, where the Gaussian window is defined by a Gaussian function e^(−((t−T0/2)/tw)^2), where t is time, tw is the width of the Gaussian window, and T0 is the duration of the sampling of the periodic waveform,
• select a region of the frequency spectrum containing a frequency peak (P) defined by a group of consecutive frequency bins (H0-H6) each being defined by a frequency value and a magnitude value, and
• determine phasor components of the periodic waveform based on the group of consecutive frequency bins (H0-H6).

A non-transitory computer-readable medium storing a computer program for determining phasors of a periodic waveform, the computer program including computer code, which when executed on a processing unit of a phasor determination system causes the phasor determination system to:

• sample the periodic waveform at a sampling frequency,
• determine a frequency spectrum of the sampled periodic waveform by means of a frequency transform utilizing a Gaussian window, wherein a ratio np defined by a duration (T0) of the sampling of the periodic waveform divided by a width (tw) of the Gaussian window is at least 5, where the Gaussian window is defined by a Gaussian function e^(−((t−T0/2)/tw)^2), where t is time, tw is the width of the Gaussian window, and T0 is the duration of the sampling of the periodic waveform,
• select a region of the frequency spectrum containing a frequency peak (P) defined by a group of consecutive frequency bins (H0-H6) each being defined by a frequency value and a magnitude value, and
• determine phasor components of the periodic waveform based on the group of consecutive frequency bins (H0-H6).