Abstract: An apparatus and method for determining, in real time, the key parameters of a three phase system electrical generator's output. A pair of reference vectors in quadrature (orthogonal) is phase-locked to a selected input open delta line to line voltage vector. Preferably, the cosine reference vector is locked 45° out of phase from the selected input vector whereby a best projection of the input vector onto the quadrature pair is provided and increases accuracy in subsequent magnitude and phase calculations. The phase-locked reference vectors provide a basis for computing the magnitude and phase angle for the remaining open delta line to line voltage vectors and three line to neutral current vectors.

Abstract: A vibration phasor monitoring system for real time determination of a vibration phasor magnitude and angle including a quadrature detector, implemented in software or hardware, whose reference phasors are locked in phase, via hardware, to a physical reference point on a rotating shaft. A vibration transducer and a transducer that senses a complete revolution of the shaft are disposed around the shaft. The transducers may be axially separated along the shaft. A clocking arrangement is implemented to determine the shaft angle at the time an output of the vibration transducer is read. Thereafter, the sine and cosine of the determined shaft angle are obtained and are used to multiply the vibration transducer output reading thereby resulting in respective projections of the vibration phasor on the sine and cosine reference phasors. These projections are then manipulated to obtain the vibration phasor angle and magnitude. Harmonic analysis in easily implemented by multiplying the generated shaft angle.