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AD712JRZ датащи(PDF) 12 Page - Analog Devices |
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AD712JRZ датащи(HTML) 12 Page - Analog Devices |
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12 / 20 page ![]() AD712 Rev. G | Page 12 of 20 0V –10V OUTPUT 5V 1mV SUMMING JUNCTION 100 10 0% 90 500ns Figure 30. Settling Characteristics for AD712 with AD565A, Full-Scale Negative Transition 0V –10V OUTPUT 5V 1mV SUMMING JUNCTION 100 10 0% 90 500ns Figure 31. Settling Characteristics for AD712 with AD565A, Full-Scale Positive Transition OP AMP SETTLING TIME—A MATHEMATICAL MODEL The design of the AD712 gives careful attention to optimizing individual circuit components; in addition, a careful trade-off was made: the gain bandwidth product (4 MHz) and slew rate (20 V/μs) were chosen to be high enough to provide very fast settling time but not too high to cause a significant reduction in phase margin (and therefore, stability). Thus designed, the AD712 settles to ±0.01%, with a 10 V output step, in under 1 μs, while retaining the ability to drive a 250 pF load capacitance when operating as a unity-gain follower. If an op amp is modeled as an ideal integrator with a unity-gain crossover frequency of ωO/2π, then Equation 1 accurately describes the small signal behavior of the circuit of Figure 32, consisting of an op amp connected as an I-to-V converter at the output of a bipolar or CMOS DAC. This equation would com- pletely describe the output of the system if not for the finite slew rate and other nonlinear effects of the op amp. 1 ) ( 2 + ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ + ω + ω − = s RC G s C R R I V f O N O X IN O (1) Where π ω 2 O = unity-gain frequency of the op amp. GN = noise gain of circuit ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ + O R R 1 . This equation can then be solved for Cf ( ) 2 1 2 O N O X O N X R G RC R G C ω − + ω + ω − = (2) In these equations, Capacitance CX is the total capacitance appearing at the inverting terminal of the op amp. When modeling a DAC buffer application, the Norton equivalent circuit shown in Figure 32 can be used directly; Capacitance CX is the total capacitance of the output of the DAC plus the input capacitance of the op amp (because the two are in parallel). VOUT RL CL CF R IO RO CX 1/2 AD712 + – Figure 32. Simplified Model of the AD712 Used as a Current-Out DAC Buffer When RO and IO are replaced with their Thevenin VIN and RIN equivalents, the general-purpose inverting amplifier shown in Figure 33 is created. Note that when using this general model, Capacitance CX is either the input capacitance of the op amp, if a simple inverting op amp is being simulated, or the combined capacitance of the DAC output and the op amp input if the DAC buffer is being modeled. VOUT RL CL CF R VIN RIN CX 1/2 AD712 + – Figure 33. Simplified Model of the AD712 Used as an Inverter In either case, Capacitance CX causes the system to go from a one-pole to a two-pole response; this additional pole increases settling time by introducing peaking or ringing in the op amp output. Because the value of CX can be estimated with reasonable accuracy, Equation 2 can be used to choose a small capacitor (CF) to cancel the input pole and optimize amplifier response. Figure 34 is a graphical solution of Equation 2 for the AD712 with R = 4 kΩ. |
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