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CS5463 데이터시트(PDF) 15 Page - Cirrus Logic |
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CS5463 데이터시트(HTML) 15 Page - Cirrus Logic |
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15 / 46 page ![]() CS5463 DS678F3 15 provides a pulse output that is proportional to the reac- tive power or apparent power. Output E3 can also be set to display the sign of the voltage applied to the voltage channel or the PFMON comparator output. The apparent power (S) is the combination of the active power and reactive power, without reference to an im- pedance phase angle, and is calculated by the CS5463 using the following formula: Power Factor (PF) is the active power (PActive) divided by the apparent power (S) The sign of the power factor is determined by the active power. The CS5463 calculates the reactive power, QTrig utiliz- ing trigonometric identities, giving the formula Average reactive power, QAvg, is generated by averag- ing the voltage multiplied by the current with a 90° phase shift difference between them. The 90° phase shift is re- alized by applying an IIR digital filter in the voltage chan- nel to obtain quadrature voltage (see Figure 3). This filter will give exactly -90° phase shift across all frequen- cies, and utilizes epsilon ( ) to achieve unity gain at the line frequency. The instantaneous quadrature voltage (VQ) and current (I) samples are multiplied to obtain the instantaneous quadrature power (Q). The product is then averaged over N conversions, utilizing the formula Fundamental active (PF) and reactive (QF) power is cal- culated by performing a discrete Fourier transform (DFT) at the relevant frequency on the instantaneous voltage (V) and current (I). Epsilon is used to set the fre- quency of the internal sine (imaginary component) and cosine (real component) waveform generator. The har- monic active power (PH) is calculated by subtracting the fundamental active power (PF) from the active power (PActive). The peak current (Ipeak) and peak voltage (Vpeak) are the instantaneous current and voltage, respectively, with the greatest magnitude detected during the last computation cycle. Active, apparent, reactive, and fun- damental power are updated every computation cycle. 4.4 Linearity Performance The linearity of the VRMS, IRMS, active, reactive, and power-factor power measurements (before calibration) will be within ±0.1% of reading over the ranges speci- fied, with respect to the input voltage levels required to cause full-scale readings in the IRMS and VRMS regis- ters. Refer to Accuracy Specifications on page 7. Until the CS5463 is calibrated, the accuracy of the CS5463 (with respect to a reference line-voltage and line-current level on the power mains) is not guaranteed to within ±0.1%. (See Section 7. System Calibration on page 37.) The accuracy of the internal calculations can often be improved by selecting a value for the Cycle Count Register that will cause the time duration of one computation cycle to be equal to (or very close to) a whole number of power-line cycles (and N must be greater than or equal to 4000). X V * I* RMS V* RMS E1 I * Energy-to-pulse X E3 + + X + I ACoff* + + V ACoff* + E2 N ÷ N N ÷ N P * ACTIVE N ÷ N Poff* P* PulseRate* *DENOTES REGISTER NAME. X S * Q * AVG - + X Inverse X PF* Q TRIG* Q* N ÷ N X Figure 4. Power Calculation Flow. SV RMS I RMS = PF P Active S ------------------ = Q Trig S2 P Active 2 – = Q Avg Q n n1 = N N ------------------------- = |
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