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ADE9178 数据表(PDF) 33 Page - Analog Devices |
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ADE9178 数据表(HTML) 33 Page - Analog Devices |
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33 / 122 page  Data Sheet ADE9178 THEORY OF OPERATION analog.com Rev. A | 33 of 122 Worked Examples This section gives example calculations for the above conversion equations with the following system parameters. System Parameters: ► VNOMINAL = 220 VRMS ► INOMINAL = 10 ARMS ► Line Frequency = 50 Hz ► Shunt Resistor = 500 μΩ ► Voltage Divider ► R1 = 990 kΩ ► R2 = 1 kΩ ► Divider Ratio = 0.001 Tℎeoretical Full‐Scale Voltage=VFS_T= VADC_FS Divider_Ratio ÷ 2= 10.001 ÷ 2= 707 VRMS (6) Maximum Input Voltage Pseudo Differential =VMAX= VADC_FS_PSEUDO Divider_Ratio ÷ 2= 0.50.001 ÷ 2= 353.5 VRMS (7) Note that the ADE91xx has two different full-scale voltages, ±1 V peak to peak for fully differential and ±0.5 V peak to peak for pseudo differential (for more details, refer to the Signal Voltage Range Between the IP and IM, V1P and V1M, and V2P and V2M Pins section in the ADE91xx data sheet). The full-scale codes defined in the Table 13 table are related to the fully differential setup of the ADC (±1 V peak to peak), therefore, any calculation that includes full-scale codes must use VFS_T calculated above. Note that do not use the pseudo differential full-scale voltage as this leads to incorrect conversions. As in most applications, the voltage is measured using a resistor-di- vider ladder, the ADC is being used with a pseudo differential input rather than a fully differential input. This means that the max voltage allowed into the voltage ADC input is ±0.5 V peak to peak, therefore the max voltage that can be applied to the input of the potential divider is VFS_T/2 = 353.5 VRMS. Any voltage above this throws the clipping and measurement errors. Full ‐Scale Current=IFS= IADC_FS Sℎunt _Resistance ÷ 2= 0.03125 500×10−6 ÷ 2= 44.188 ARMS (8) RMS Output Calculation: If AIRMS = 24285092 decimal, then: AIRMSCONVERTED= IFS RMSFS_CODES ×AIRMS = 44.188 107310840 ×24285092= 10.00 ARMS (9) If AVRMS = 33394314 decimal, then: AVRMSCONVERTED= VFS_T RMSFS_CODES ×AVRMS = 707107310840×33394314= 220.013 VRMS (10) Power Calculation: If AWATT = 6044931 decimal, then: AWATTCONVERTED= IFS×VFS_T POWFS_CODES ×AWATT =44.188×707 85829040 ×6044931= 2200.295 Watts (11) If AVA = 6038115 decimal, then: AVACONVERTED= IFS×VFS_T POWFS_CODES ×AVA =44.188×707 85829040 ×6038115= 2197.814 VA (12) Energy Calculation: If AWATTHR_POS_HI = 2950618 decimal and AWATTHR_POS_LO = 7367 decimal, then: Energy= IFS×VFS_T POWFS_CODES × XHI≪13+XLO 4000 =44.188×707 85829040 × 2950618≪13+7367 4000 = 2199.54 Watt Seconds (13) If AVAHR_HI = 2950549 decimal and AVAHR_LO = 7354 decimal, then: Energy= IFS×VFS_T POWFS_CODES × XHI≪13+XLO 4000 =44.188×707 85829040 × 2950549≪13+7354 4000 = 2199.49 Watt Seconds (14) Period Calculation: If APERIOD = 5242710 decimal, then: APERIODCONVERTED=APERIOD+1 4000×216 =5242710+1 4000×216 = 19.9994 ms=50.0015 Hz (15) Angle Calculation: If ANGL_AV_BV = 6826 decimal and APERIOD = 5242738 deci- mal, then: Angle=2πANGLXY×256 xPERIOD+1 −2π=2π6826×256 5242738+1 −2π=−4 .189 radians= −240 .012 degrees (16) Therefore, phase B voltage is lagging phase A voltage by 240.012°. |
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