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ADE7752A Datasheet(PDF) 13 Page - Analog Devices

 Part No. ADE7752A Description Polyphase Energy Metering IC with Pulse Output Download 24 Pages Scroll/Zoom 100% Maker AD [Analog Devices] Homepage http://www.analog.com Logo

ADE7752A Datasheet(HTML) 13 Page - Analog Devices

 13 / 24 page ADE7752/ADE7752ARev. C | Page 13 of 24This is the correct real power calculation.()(nnnOβtωnIVItisin20××+=∑∞=)(2)INSTANTANEOUSREAL POWER SIGNALINSTANTANEOUSPOWER SIGNALV× I2× cos(60°)V× I2INSTANTANEOUSPOWER SIGNALINSTANTANEOUS REALPOWER SIGNAL60°CURRENTCURRENTVOLTAGE0V0VVOLTAGEwhere:i(t) is the instantaneous current.IO is the dc component.In is the rms value of current harmonic n.β is the phase angle of the current harmonic.nUsing Equations 1 and 2, the real power, P, can be expressed interms of its fundamental real power (P1) and harmonic realpower (PH).+ PP = P1Hwhere:1111111βαφφIVP−=×=cos(3)Figure 16. DC Component of Instantaneous Power SignalConveys Real Power Information PF < 1nnnnnnHβαnφφIVP−=×=∑∞=cos1(4)NONSINUSOIDAL VOLTAGE AND CURRENTThe real power calculation method also holds true for nonsin-usoidal current and voltage waveforms. All voltage and currentwaveforms in practical applications have some harmoniccontent. Using the Fourier Transform, instantaneous voltageand current waveforms can be expressed in terms of theirharmonic content:()(nnnoαtωnVVtv+××+=∑∞=sin20)(1)As can be seen from Equation 4, a harmonic real power compo-nent is generated for every harmonic, provided that harmonic ispresent in both the voltage and current waveforms. The powerfactor calculation has been shown to be accurate in the case of apure sinusoid. Therefore, the harmonic real power must alsocorrectly account for power factor since it is made up of a seriesof pure sinusoids.Note that the input bandwidth of the analog inputs is 14 kHzwith a master clock frequency of 10 MHz.where:v(t) is the instantaneous voltage.VO is the average value.Vn is the rms value of voltage harmonic n.α n is the phase angle of the voltage harmonic.