전자부품 데이터시트 검색엔진 |
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ISL5585ECM 데이터시트(PDF) 11 Page - Intersil Corporation |
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ISL5585ECM 데이터시트(HTML) 11 Page - Intersil Corporation |
11 / 22 page 11 Complex Impedance Synthesis Substituting the impedance programming resistor, RS, with a complex programming network provides complex impedance synthesis. The reference designators in the programming network match the evaluation board. The component RS has a different design equation than the RS used for resistive impedance synthesis. The design equations for each component are provided below. Substituting EQ 17 for VTX with AUX =0 and ∆IM= -V2W/ZL gives us EQ 26. Note: AUX input is not used. Substitute EQ 17 into EQ 21 Substitute EQ 26 into EQ 27 Substitute Equation 19 for RS/8k in Equation 28. Simplifying Substitute Equation 30 into Equation 31 and combine terms where: VIN = The input voltage at the -IN pinthrough resistor RIN. AUX = Auxiliary input of SLIC. Not used for AC gains. VSA = An internal node voltage that is a function of the loop current and the output of the Sense Amplifier. IX = Internal current in the SLIC that is the difference between the input receive current and the feedback current. IM = The AC metallic current. RP = A protection resistor (typical 49.9Ω). RS = An external resistor/network for matching the line impedance. VTR = The tip to ring voltage at the output pins of the SLIC. V2W = The tip to ring voltage including the voltage across the protection resistors. ZL = The line impedance. ZO = The source impedance of the device. 4-Wire to 2-Wire Gain 4-wire to 2-wire gain across the ISL5585 is equal to the V2W divided by the input voltage VIN, reference Figure 4. The receive gain is calculated using Equation 32. Equation 33 expresses the receive gain (VIN to V2W) in terms of network impedances. From Equation 21, the value of RS was set to match the line impedance (ZL) to the ISL5585 plus the protection resistors (Z0 + 2RP). This results in a 4-wire to 2-wire gain equal to RS/RIN, as shown in EQ. 33. 2-Wire to 4-Wire Gain The 2-wire to 4-wire gain is equal to VTX/EG with VIN = 0, reference Figure 4. From Equation 30 with VIN = 0 Substituting Equation 35 into Equation 34 and simplify. FIGURE 5. COMPLEX PROGRAMMING NETWORK 2-WIRE NETWORK R1 R2 C2 PROGRAMMING NETWORK RSeries RParallel CParallel R Series 133.3 R 1 2R P () – () × = (EQ. 22) R Parallel 133.3 R 2 × = (EQ. 23) C Parallel C 2 133.3 ⁄ · = (EQ. 24) I X AUX R ------------- + V TX R ----------- = Node Equation (EQ. 25) at ISL5585 AUX input, Figure 4 I X V TX R ----------- V IN R --------- R S R IN ---------- – V 2w30 Z L ------------------ – R S R8k ----------- == (EQ. 26) I XR - VTR + IXR = 0 Loop Equation (EQ. 27) at ISL5585 feed amplifiers and load. V TR 2V IN R S R IN ---------- – 2V 2w 30 Z L ---------------------- R S 8k -------- + = (EQ. 28) V TR 2V IN R S R IN ---------- – 2V 2w 30 Z L ---------------------- 133.33Z O 8k -------------------------- + = (EQ. 29) V TR 2V IN R S R IN ---------- – V 2w Z L ----------- Z O () + = (EQ. 30) V 2W -IM2RP + VTR = 0 Loop Equation (EQ. 31) at Tip/Ring interface V 2W Z L Z O 2R P ++ Z L -------------------------------------- 2V IN R S R IN ---------- = (EQ. 32) G 4-2 = V 2W V IN ------------ = 2 R S R IN ---------- Z L Z L Z O + + 2 RP ---------------------------------------- 2 Z L Z L Z L + -------------------- R S R IN ---------- == (EQ. 33) E – G Z LIM 2R PIM V TR – + + 0 = Loop Equation (EQ. 34) V TR Z O V2W Z L -------------------- = (EQ. 35) E G V 2W Z L 2R P Z O ++ Z L --------------------------------------- – = (EQ. 36) ISL5585 |
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