DSP-microcontroller implementations of a simplified algorithm for synchrophasor calculation

Synchrophasor is the acronym of synchronized phasor and it is a phasor measured and calculated by sampling with a standard temporal reference. The utility of a synchrophasor is to measure the angle of phase between two electrical signals placed in remote nodes. In the article is expressed the computational algorithm to calculate the phasor of the fundamental component (60 Hz) of an electrical signal. This algorithm is implemented with the Discrete Fourier Transform (DFT) and a Look Up Table (LUT) which in junction lets diminish the process time. It is also presented an algorithm which uses the same technique to obtain the inverse trigonometric function that is required to calculate the phase angle. The full algorithm presented in this paper was implemented in a DSP-Microcontroller rectangle fixed point from C2000 family. The Standard temporal reference is generated with a signal of 1 pulse per second (1PPS) from a Global Positioning System (GPS).