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This paper presents a new approach to model the electrical signals in power systems. The approach is based on the concept, derived from differential geometry, of contact between a signal and an osculating sinusoid. A direct application leads to a synchronization algorithm performing tasks comparable to those of single-phase PLL as verified by some different simulation results. Moreover, a significant advantage of the approach is the possibility to define quantities typically considered in sinusoidal steady state conditions also during the transients.

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