Mathematical Calculation     Last updated on 2011     2     18, a full moon day;

3 calculations available to read;

2008 Fuzzy mathematical calculation, also see: http://documents.wolfram.com/applications/fuzzylogic/Manual/10.html, so that addition, subtraction, multiplication, image, max function, min function, ... can be further studied in fuzzy approach ... ;

2007 ADC's distortion causes its sample rate becomes (sample rate / 2), and bandwidth signal [i.e. SNR 50dB at 12bit per 1G sample per second] prompts, and then processing gain can be calculated as:
processing gain = -10(log(bandwidth_signal/(sample rate/2))).
If jitter, for the given system, SNR to jitter calculated as:
SNR = -20(log10((2π_cycle ffrequency_input) (tjitter))).

2007 IPM motor's Torque: Depending on types of motor, calculation may vary; In IPM motor [e.g. air con compressor motor], when calculating magnet_torque and reluctance_torque, 2 * rotor angle in sine is used as:
torque T = Pn ((Φ * ampere I * (cosine(β))) + (1/2(inductance Lq - inductance Ld) * (square (ampere I)) ) * sine(2 * β)); AC input into rectifier, and then normal power supply Pn can be measured. The given FOC is sensor-less. Velocity control can be further studied.  IFF 2 phase circuit, while current I is looping, flux can be estimated, because the circuit's back EMF are in cosine and sine as: volt V1 = (resistance Rs * current I1) + (inductance Ls * (dI1/dt vary I1 at time t)) + (d/dt at time t(-Ψr * cosine(θr))); V2 = (resistance Rs * current I2) + (inductance Ls * (dI2/dt vary I2 at time t)) + (d/dt at time t(-Ψr * sine(θr))); WHERE rotor's flux angle in cosine and sine are as: Ψr * cosine(θr) = integration ∫ integral in distance as ∫((resistance Rs * current I1) - V1) + (inductance Ls * I1); Ψr * sine(θr) = ∫((resistance Rs * current I2) - V2) + (inductance Ls * I2);

 

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