**Mathematical Calculation**
Last updated on 2014/2558
10
8,
a full
moon day;

3 calculations available to read; Also see: method; operator;

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(log_{10}((2π_cycle f_{frequency_input}) (t_{jitter}))).

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 = P_{n} ((Φ * ampere I * (cosine(β))) + (1/2(inductance L_{q}
- inductance L_{d}) * (square (ampere I)) ) * sine(2 * β)); AC input
into rectifier, and then normal power supply P_{n} 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 V_{1} = (resistance R_{s}
* current I_{1}) + (inductance L_{s} * (dI_{1}/dt
vary I1 at time t))
+ (d/dt at time t(-Ψ_{r}
* cosine(θ_{r})));
V_{2} = (resistance R_{s} *
current I_{2}) + (inductance L_{s} * (dI_{2}/dt
vary I2 at time t))
+ (d/dt at time t(-Ψ_{r}
* sine(θ_{r}))); WHERE **r**otor's flux
angle in cosine and sine are as: Ψ_{r}
* cosine(θ_{r}) =
integration ∫ integral in
distance as
∫((resistance R_{s} * current I_{1}) - V_{1}) +
(inductance L_{s} * I_{1}); Ψ_{r} * sine(θ_{r})
= ∫((resistance R_{s} * current I_{2}) - V_{2}) +
(inductance L_{s} * I_{2});