Angular position and velocity estimation for synchronous machines based on extended rotor flux

For a system that derives an estimated rotor electrical position {circumflex over (θ)}r and electrical frequency {circumflex over (ω)}r for the rotor of a polyphase alternating current (AC) dynamoelectric machine with an extended rotor flux estimation calculation system that generates uncorrected estimated values of extended rotor flux {circumflex over (λ)}α ext unc and {circumflex over (λ)}β ext unc based on derived values of estimated stator flux {circumflex over (λ)}α and {circumflex over (λ)}β the α-β two-axis stationary reference frame using a lag function

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• that approximates a pure integrator function
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• wherein ωi represents a corner frequency of the lag function, and a digital phase lock loop (PLL) to determine values of estimated rotor electrical position {circumflex over (θ)}r and electrical frequency {circumflex over (ω)}r based upon the estimated values of extended rotor flux {circumflex over (λ)}α ext and {circumflex over (λ)}β ext, apparatus for correcting the estimated α-axis and β-axis values of estimated extended rotor flux to more closely approximate values generated with a pure integrator function
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• comprising:
• a divider for dividing the lag function
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• corner frequency ωi by the estimated rotor electrical frequency {circumflex over (ω)}r to generate a signal ωi/{circumflex over (ω)}r;
• a multiplier multiplying the signal ωi/{circumflex over (ω)}r by the derived values of estimated stator flux {circumflex over (λ)}α and {circumflex over (λ)}β to produce signals (ωi/{circumflex over (ω)}r){circumflex over (λ)}α and (ωi/{circumflex over (ω)}r){circumflex over (λ)}β;
• a first summer for adding signal (ωi/{circumflex over (ω)}r){circumflex over (λ)}β to {circumflex over (λ)}α ext unc as represented by {circumflex over (λ)}α−(iα×{circumflex over (L)}q) to produce a signal {circumflex over (λ)}α−(iα×{circumflex over (L)}q)+(ωi/{circumflex over (ω)}r){circumflex over (λ)}β that represents a corrected value of estimated extended rotor flux {circumflex over (λ)}α ext;
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• a second summer for subtracting signal (ωi/{circumflex over (ω)}r){circumflex over (λ)}α from {circumflex over (λ)}β ext unc as represented by {circumflex over (λ)}β−(iβ×{circumflex over (L)}q) to produce a signal {circumflex over (λ)}β−(iβ×{circumflex over (L)}q)−(ωi/{circumflex over (ω)}r){circumflex over (λ)}α representing {circumflex over (λ)}β ext.