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AD2S80ATD Datasheet(PDF) 12 Page - Analog Devices |
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AD2S80ATD Datasheet(HTML) 12 Page - Analog Devices |
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12 / 16 page ![]() AD2S80A REV. A –12– 12 –12 fBW –6 –9 0.04fBW 0.02fBW 0 –3 3 6 9 0.4fBW 0.2fBW 0.1fBW FREQUENCY 2fBW Figure 4. AD2S80A Gain Plot 180 –180 fBW –90 –135 0.04fBW 0.02fBW 0 –45 45 90 135 0.4fBW 0.2fBW 0.1fBW FREQUENCY 2fBW Figure 5. AD2S80A Phase Plot OUTPUT POSITION t2 t1 TIME Figure 6. AD2S80A Small Step Response The small signal step response is shown in Figure 6. The time from the step to the first peak is t1 and the t2 is the time from the step until the converter is settled to 1 LSB. The times t1 and t2 are given approximately by t 1 = 1 f BW t 2 = 5 f BW × R 12 where R = resolution, i.e., 10, 12, 14 or 16. The large signal step response (for steps greater than 5 degrees) applies when the error voltage exceeds the linear range of the converter. Typically the converter will take 3 times longer to reach the first peak for a 179 degrees step. In response to a velocity step, the velocity output will exhibit the same time response characteristics as outlined above for the po- sition output. ACCELERATION ERROR A tracking converter employing a Type 2 servo loop does not suffer any velocity lag, however, there is an additional error due to acceleration. This additional error can be defined using the acceleration constant KA of the converter. K A = Input Acceleration Error in Output Angle The numerator and denominator must have consistent angular units. For example if KA is in sec -2, then the input acceleration may be specified in degrees/sec 2 and the error output in degrees. Angular measurement may also be specified using radians, min- utes of arc, LSBs, etc. KA does not define maximum input acceleration, only the error due to it’s acceleration. The maximum acceleration allowable before the converter loses track is dependent on the angular accuracy requirements of the system. Angular Accuracy × K A = Degrees/sec 2 KA can be used to predict the output position error for a given input acceleration. For example for an acceleration of 100 revs/sec 2, K A = 2.7 × 106 sec-2 and 12-bit resolution. Error in LSBs = Input acceleration [LSB/sec2 ] K A[sec –2] = 100 [rev/sec 2 ] × 212 2.7 ×106 = 0.15 LSBs or 47.5 seconds of arc To determine the value of KA based on the passive components used to define the dynamics of the converter the following should be used. K A = 4.04 ×1011 2n • R6• R4•(C4 +C5) Where n = resolution of the converter. R4, R6 in ohms C5, C4 in farads |
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