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ADE9078 数据表(PDF) 32 Page - Analog Devices |
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ADE9078 数据表(HTML) 32 Page - Analog Devices |
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32 / 108 page  Data Sheet ADE9078 Rev. 0 | Page 31 of 107 FREQUENCY (Hz) 40 45 50 60 65 55 70 80 75 85 90 Figure 46. Digital Integrator Magnitude Response from 40 Hz to 90 Hz, DICOEFF = 0xFFFFE000 FREQUENCY (Hz) 40 45 50 60 65 55 70 80 75 85 90 Figure 47. Digital Integrator Phase Response from 40 Hz to 90 Hz, DICOEFF = 0xFFFFE000 The recommended DICOEFF value is 0xFFFFE000. Phase Compensation The ADE9078 phase compensation uses a digital filter to achieve a phase adjustment of ±0.001°. This high resolution improves the total active energy and reactive energy performance at low power factors. The phase calibration range is −15° to +4.5° at 50 Hz. To achieve this phase compensation, the voltage channel is delayed by one 4 kSPS sample, 4.5° at 50 Hz. ° × = 360 DSP LINE f f Delay Channel Voltage ° = ° × = 5 . 4 360 4000 50 Delay Channel Voltage The current channel is then delayed by a digital filter, according to the value programmed into the xPHCALx register. The resulting phase correction depends on the value in the xPHCALx register. The following equation gives the phase correction between the input current and voltage after the combined voltage and current delays. In the following formula, phase correction is positive to correct a current that lags the voltage, and phase correction is negative to correct a situation where the current leads the voltage, such as occurs with a current transformer: × × + × × + × = ω ω ω ω cos 2 1 sin 2 – arctan – cos 2 sin – arctan (Degrees) 27 – 27 – 27 – xPHCALx xPHCALx xPHCALx Correction Phase where ω = 2π × fLINE/fDSP. Calculate the xPHCALx register value can from the desired phase correction according to the following equation: ( ) ( ) 27 2 – 2 sin sin – sin × + = xPHALx ϕ ω ω ω ϕ For example, if fLINE = 50 Hz, fDSP = 4 kHz, and the current leads the voltage by 0.1°, the phase correction = −0.1°. Write xPHCALx = 0xFFE9 7889 to correct for this phase difference. ω = 2π × 50/4000 = 0.07854 ( ) ( ) ( ) ( ) ( ) 7889 9 xFFE 0 471 , 476 , 1 – 2 1 . 0 – – 07854 . 0 2 sin 07854 . 0 sin 07854 . 0 – 1 . 0 – sin 27 = = × × + = RADIANS RADIANS xPHALx DELAY V BY ONE SAMPLE 4.5° AT 50Hz INPUT VOLTAGE OUTPUT VOLTAGE DELAY I BY UP TO 19.5° INPUT CURRENT CURRENT TRANSFORMER SENSOR: CURRENT LEADS VOLTAGE OUTPUT CURRENT I LEADS V BY UP TO 15° PHASE COMPENSATION = –15° ADE9078 Figure 48. Phase Compensation Example for Current Transformer, Where the Current Leads the Voltage ADE9078 DELAY V BY ONE SAMPLE 4.5 ° AT 50Hz INPUT VOLTAGE OUTPUT VOLTAGE DELAY I BY 0° INPUT CURRENT CURRENT LAGS VOLTAGE OUTPUT CURRENT I LAGS V BY UP TO 4.5 ° PHASE CORRECTION = +4.5 ° Figure 49. Phase Compensation Example Where Current Lags Voltage |
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