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ADE7752AR Datasheet(PDF) 7 Page - Analog Devices |
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ADE7752AR Datasheet(HTML) 7 Page - Analog Devices |
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7 / 10 page ![]() REV. PrB 08/01 –7– PRELIMINARY TECHNICAL DATA ADE7752 Meter connections In three phase service, two main power distribution services exist: 3-phase 4-wire or 3-phase 3-wire. The additional wire in the 3-phase 4-wire arrangement is the Neutral wire. The voltage lines have a phase difference of ±120° (± 2 π/3 radians) between each other - See Equation 5. ) 3 4 cos( 2 ) ( ) 3 2 cos( 2 ) ( ; ) cos( 2 ) ( π ω π ω ω + ⋅ ⋅ = + ⋅ ⋅ = ⋅ ⋅ = t V t V t V t V t V t V l C C l B B l A A (5) Where: VA, VB and VC represent the voltage RMS value of the different phases The current inputs are represented by Equations 6, ) 3 4 cos( 2 ) ( ) 3 2 cos( 2 ) ( ; ) cos( 2 ) ( C l C C B l B B A l A A t I t I t I t I t I t I ϕ π ω ϕ π ω ϕ ω + + ⋅ ⋅ = + + ⋅ ⋅ = + ⋅ ⋅ = (6) Where: IA, IB and IC represent the RMS value of the current of each phase and φ A, φ B and φ C the phase difference of the current and voltage channel of each phase. The instantaneous powers can then be calculated as follows: ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( t I t V t P t I t V t P t I t V t P C C C B B B A A A ⋅ = ⋅ = ⋅ = Then, ) 3 8 2 cos( ) cos( ) ( ) 3 4 2 cos( ) cos( ) ( ) 2 cos( ) cos( ) ( C l C C C C C C B l B B B B B B A l A A A A A A t I V I V t P t I V I V t P t I V I V t P ϕ π ω ϕ ϕ π ω ϕ ϕ ω ϕ + + ⋅ ⋅ − ⋅ ⋅ = + + ⋅ ⋅ − ⋅ ⋅ = + ⋅ ⋅ − ⋅ ⋅ = (7) As can be seen from Equation 7, in the ADE7752 the real power calculation per phase is made when current and voltage inputs of the one phase are connected to the same channel (A, B or C). Then, the summation of each individual real power calculation gives the total Real Power information. P(t) = PA(t) + PB(t) + PC(t) Figure 14 demonstrates the connections of the analog inputs of the ADE7752 with the power lines in a 3-phase 3-wire Delta service. Source CT CT Rb Rb IAP IAN Anti-aliasing Filters IBP IBN Anti-aliasing Filters Ra* Rb* VR* Rf Cf Cf VN VAP Ra* Rb* VR* Cf VBP Load Phase A Phase B Phase C Figure 14 - 3-phase 3-wire meter connection with ADE7752 Note: Only 2 current inputs and 2 voltage inputs of the ADE7752 are used in this case. The Real power calculated by the ADE7752 does not depend on the selected channel. Figure 15 demonstrates the connections of the analog inputs of the ADE7752 with the power lines in a 3-phase 4-wire Wye service. Source CT CT Rb Rb IAP IAN Anti-aliasing Filters ICP ICN Anti-aliasing Filters Ra* Rb* VR* Rf Cf Cf VN VAP Ra* Rb* VR* Cf VCP Load CT Rb IBP IBN Anti-aliasing Filters Ra* Rb* VR* Cf VBP Phase A Phase B Phase C Figure 15 - 3-phase 4-wire meter connection with ADE7752 |
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