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FEATURES High Accuracy 0.02% Max Nonlinearity, 0 V to 2 V RMS Input 0.10% Additional Error to Crest Factor of 3 Wide Bandwidth 8 MHz at 2 V RMS Input 600 kHz at 100 mV RMS Computes: True RMS Square Mean Square Absolute Value dB Output (60 dB Range) Chip Select-Power Down Feature Allows: Analog "3-State" Operation Quiescent Current Reduction from 2.2 mA to 350 Side-Brazed DIP, Low Cost Cerdip and SOIC PRODUCT DESCRIPTION
High Precision, Wide-Band RMS-to-DC Converter AD637
FUNCTIONAL BLOCK DIAGRAMS
Ceramic DIP (D) and Cerdip (Q) Packages
BUFFER 1 2 ABSOLUTE VALUE
SOIC (R) Package
BUFFER
AD637
16 ABSOLUTE VALUE 15 14
AD637
14
1 2 13 3 12 BIAS SECTION 4 11 5 10 25k 6 9 7 FILTER
3 BIAS SECTION 4 5 25k 6 7 FILTER SQUARER/DIVIDER 25k
SQUARER/DIVIDER 25k
13
12 11 10 9
8 8
A
The AD637 is a complete high accuracy monolithic rms-to-dc converter that computes the true rms value of any complex waveform. It offers performance that is unprecedented in integrated circuit rms-to-dc converters and comparable to discrete and modular techniques in accuracy, bandwidth and dynamic range. A crest factor compensation scheme in the AD637 permits measurements of signals with crest factors of up to 10 with less than 1% additional error. The circuit's wide bandwidth permits the measurement of signals up to 600 kHz with inputs of 200 mV rms and up to 8 MHz when the input levels are above 1 V rms. As with previous monolithic rms converters from Analog Devices, the AD637 has an auxiliary dB output available to the user. The logarithm of the rms output signal is brought out to a separate pin allowing direct dB measurement with a useful range of 60 dB. An externally programmed reference current allows the user to select the 0 dB reference voltage to correspond to any level between 0.1 V and 2.0 V rms. A chip select connection on the AD637 permits the user to decrease the supply current from 2.2 mA to 350 A during periods when the rms function is not in use. This feature facilitates the addition of precision rms measurement to remote or hand-held applications where minimum power consumption is critical. In addition when the AD637 is powered down the output goes to a high impedance state. This allows several AD637s to be tied together to form a wide-band true rms multiplexer. The input circuitry of the AD637 is protected from overload voltages that are in excess of the supply levels. The inputs will not be damaged by input signals if the supply voltages are lost.
The AD637 is available in two accuracy grades (J, K) for commercial (0C to +70C) temperature range applications; two accuracy grades (A, B) for industrial (-40C to +85C) applications; and one (S) rated over the -55C to +125C temperature range. All versions are available in hermetically-sealed, 14-lead side-brazed ceramic DIPs as well as low cost cerdip packages. A 16-lead SOIC package is also available.
PRODUCT HIGHLIGHTS
1. The AD637 computes the true root-mean-square, mean square, or absolute value of any complex ac (or ac plus dc) input waveform and gives an equivalent dc output voltage. The true rms value of a waveform is more useful than an average rectified signal since it relates directly to the power of the signal. The rms value of a statistical signal is also related to the standard deviation of the signal. 2. The AD637 is laser wafer trimmed to achieve rated performance without external trimming. The only external component required is a capacitor which sets the averaging time period. The value of this capacitor also determines low frequency accuracy, ripple level and settling time. 3. The chip select feature of the AD637 permits the user to power down the device down during periods of nonuse, thereby, decreasing battery drain in remote or hand-held applications. 4. The on-chip buffer amplifier can be used as either an input buffer or in an active filter configuration. The filter can be used to reduce the amount of ac ripple, thereby, increasing the accuracy of the measurement.
REV. E
Information furnished by Analog Devices is believed to be accurate and reliable. However, no responsibility is assumed by Analog Devices for its use, nor for any infringements of patents or other rights of third parties which may result from its use. No license is granted by implication or otherwise under any patent or patent rights of Analog Devices. One Technology Way, P.O. Box 9106, Norwood, MA 02062-9106, U.S.A. Tel: 781/329-4700 World Wide Web Site: http://www.analog.com Fax: 781/326-8703 (c) Analog Devices, Inc., 1999
AD637-SPECIFICATIONS (@ +25 C, and
Model TRANSFER FUNCTION CONVERSION ACCURACY Total Error, Internal Trim1 (Fig. 2) T MIN to TMAX vs. Supply, + VIN = +300 mV vs. Supply, - VIN = -300 mV DC Reversal Error at 2 V Nonlinearity 2 V Full Scale2 Nonlinearity 7 V Full Scale Total Error, External Trim ERROR VS. CREST FACTOR3 Crest Factor 1 to 2 Crest Factor = 3 Crest Factor = 10 AVERAGING TIME CONSTANT INPUT CHARACTERISTICS Signal Range, 15 V Supply Continuous RMS Level Peak Transient Input Signal Range, 5 V Supply Continuous rms Level Peak Transient Input Maximum Continuous Nondestructive Input Level (All Supply Voltages) Input Resistance Input Offset Voltage Min AD637J/A Typ
avg . (VIN )
2
15 V dc unless otherwise noted)
AD637K/B Typ
avg . (VIN )
2
Max
Min
Max
Min
VOUT =
AD637S Typ
avg . (VIN )
Max
2
Units
VOUT =
VOUT =
30 100
0.5 0.1 Specified Accuracy 0.1 1.0 25
1 0.5 3.0 0.6 150 300 0.25 0.04 0.05
0.5 2.0 150 300 0.1 0.02 0.05 0.25 0.05 30 100 Specified Accuracy 0.1 1.0 25
0.2 0.3
1 0.5 6 0.7 150 300 0.25 0.04 0.05 0.5 0.1 30 100 Specified Accuracy 0.1 1.0 25
mV % of Reading mV % of Reading V/V V/V % of Reading % of FSR % of FSR mV % of Reading
% of Reading % of Reading ms/F CAV
0 to 7
15 6 15 9.6 0.5 6.4
0 to 7
15 6 15 9.6 0.2 6.4
0 to 7
15 6 15 9.6 0.5
V rms V p-p V rms V p-p V p-p k mV
0 to 4
0 to 4
0 to 4
6.4
8
8
8
FREQUENCY RESPONSE4 Bandwidth for 1% Additional Error (0.09 dB) VIN = 20 mV VIN = 200 mV VIN = 2 V 3 dB Bandwidth VIN = 20 mV VIN = 200 mV VIN = 2 V OUTPUT CHARACTERISTICS Offset Voltage vs. Temperature Voltage Swing, 15 V Supply, 2 k Load Voltage Swing, 3 V Supply, 2 k Load Output Current Short Circuit Current Resistance, Chip Select "High" Resistance, Chip Select "Low"
11 66 200 150 1 8 1 0.089
11 66 200 150 1 8 0.5 0.056
11 66 200 150 1 8 1 0.07
kHz kHz kHz kHz MHz MHz mV mV/C V V mA mA k dB mV/dB % of Reading/C dB/C A A
0.05 0 to +12.0 +13.5 0 to +2 6 +2.2 20 0.5 100 0.5 -3 +0.33 -0.033 20
0.04 0 to +12.0 +13.5 0 to +2 6 +2.2 20 0.5 100 0.3 -3 +0.33 -0.033 20
0.04 0 to +12.0 +13.5 0 to +2 6 +2.2 20 0.5 100 0.5 -3 +0.33 -0.033 20
dB OUTPUT Error, VIN 7 mV to 7 V rms, 0 dB = 1 V rms Scale Factor Scale Factor Temperature Coefficient IREF for 0 dB = 1 V rms IREF Range BUFFER AMPLIFIER Input Output Voltage Range Input Offset Voltage Input Current Input Resistance Output Current Short Circuit Current Small Signal Bandwidth Slew Rate5 DENOMINATOR INPUT Input Range Input Resistance Offset Voltage CHIP SELECT PROVISION (CS) RMS "ON" Level RMS "OFF" Level IOUT of Chip Select CS "LOW" CS "HIGH" On Time Constant Off Time Constant POWER SUPPLY Operating Voltage Range Quiescent Current Standby Current TRANSISTOR COUNT 5 1 -VS to (+V S - 2.5 V)
80 100
5 1 -VS to (+V S - 2.5 V)
80 100
5 1 -VS to (+VS - 2.5 V)
80 100
0.8 2 108
2 10 (+5 mA, -130 A)
0.5 2 108
1 5 (+5 mA, -130 A)
0.8 2 108
2 10
V mV nA mA MHz V/s V k mV
(+5 mA, -130 A) 20 1 5 0 to +10 25 0.2
20 1 5 0 to +10 25 0.2
20 1 5 0 to +10 25 30 0.2 0.5
20
30 0.5
20
30 0.5
20
Open or +2.4 V < VC < +V S VC < +0.2 V 10 Zero 10 s + ((25 k) x CAV ) 10 s + ((25 k) x CAV ) 3.0 2.2 350 107 18 3 450
Open or +2.4 V < VC < +VS VC < +0.2 V 10 Zero 10 s + ((25 k) x CAV ) 10 s + ((25 k) x CAV ) 3.0 2.2 350 107 18 3 450
Open or +2.4 V < VC < +VS VC < +0.2 V 10 Zero 10 s + ((25 k) x CAV ) 10 s + ((25 k) x CAV ) 3.0 2.2 350 107 18 3 450 A
V mA A
-2-
REV. E
AD637
NOTES 1 Accuracy specified 0-7 V rms dc with AD637 connected as shown in Figure 2. 2 Nonlinearity is defined as the maximum deviation from the straight line connecting the readings at 10 mV and 2 V. 3 Error vs. crest factor is specified as additional error for 1 V rms. 4 Input voltages are expressed in volts rms. % are in % of reading. 5 With external 2 k pull down resistor tied to -V S . Specifications subject to change without notice. Specifications shown in boldface are tested on all production units at final electrical test. Results from those tests are used to calculate outgoing quality levels. All min and max specifications are guaranteed, although only those shown in boldface are tested on all production units.
ABSOLUTE MAXIMUM RATINGS
ORDERING GUIDE
Model AD637AR AD637BR AD637AQ AD637BQ AD637JD AD637JD/+ AD637KD AD637KD/+ AD637JQ AD637KQ AD637JR AD637JR-REEL AD637JR-REEL7 AD637KR AD637SD AD637SD/883B AD637SQ/883B AD637SCHIPS 5962-8963701CA* Temperature Range -40C to +85C -40C to +85C -40C to +85C -40C to +85C 0C to +70C 0C to +70C 0C to +70C 0C to +70C 0C to +70C 0C to +70C 0C to +70C 0C to +70C 0C to +70C 0C to +70C -55C to +125C -55C to +125C -55C to +125C 0C to +70C -55C to +125C Package Description SOIC SOIC Cerdip Cerdip Side Brazed Ceramic DIP Side Brazed Ceramic DIP Side Brazed Ceramic DIP Side Brazed Ceramic DIP Cerdip Cerdip SOIC SOIC SOIC SOIC Side Brazed Ceramic DIP Side Brazed Ceramic DIP Cerdip Die Cerdip Package Option R-16 R-16 Q-14 Q-14 D-14 D-14 D-14 D-14 Q-14 Q-14 R-16 R-16 R-16 R-16 D-14 D-14 Q-14 Q-14
ESD Rating . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 500 V Supply Voltage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 V dc Internal Quiescent Power Dissipation . . . . . . . . . . . . 108 mW Output Short-Circuit Duration . . . . . . . . . . . . . . . . . Indefinite Storage Temperature Range . . . . . . . . . . . . -65C to +150C Lead Temperature Range (Soldering 10 secs) . . . . . . . +300C Rated Operating Temperature Range AD637J, K . . . . . . . . . . . . . . . . . . . . . . . . . . . 0C to +70C AD637A, B . . . . . . . . . . . . . . . . . . . . . . . . -40C to +85C AD637S, 5962-8963701CA . . . . . . . . . . . -55C to +125C
*A standard microcircuit drawing is available.
FILTER/AMPLIFIER BUFF OUT BUFF IN A5 BUFFER AMPLIFIER I4 A4 ONE QUADRANT SQUARER/DIVIDER 24k CAV +VS RMS OUT
24k
I1 Q4
dB OUT COM Q5 Q2 Q3 A3 I3 BIAS 24k CS DEN INPUT OUTPUT OFFSET
ABSOLUTE VALUE VOLTAGE - CURRENT CONVERTER 6k 12k VIN A1 6k A2
Q1
125
AD637
-VS
Figure 1. Simplified Schematic
CAUTION ESD (electrostatic discharge) sensitive device. Electrostatic charges as high as 4000 V readily accumulate on the human body and test equipment and can discharge without detection. Although the AD637 features proprietary ESD protection circuitry, permanent damage may occur on devices subjected to high energy electrostatic discharges. Therefore, proper ESD precautions are recommended to avoid performance degradation or loss of functionality.
WARNING!
ESD SENSITIVE DEVICE
REV. E
-3-
AD637
FUNCTIONAL DESCRIPTION
The AD637 embodies an implicit solution of the rms equation that overcomes the inherent limitations of straightforward rms computation. The actual computation performed by the AD637 follows the equation V 2 V rms = Avg IN V rms Figure 1 is a simplified schematic of the AD637, it is subdivided into four major sections; absolute value circuit (active rectifier), square/divider, filter circuit and buffer amplifier. The input voltage VIN which can be ac or dc is converted to a unipolar current I1 by the active rectifier A1, A2. I1 drives one input of the squarer divider which has the transfer function 2 I I4 = 1 I3 The output current of the squarer/divider, I4 drives A4 which forms a low-pass filter with the external averaging capacitor. If the RC time constant of the filter is much greater than the longest period of the input signal than A4s output will be proportional to the average of I4. The output of this filter amplifier is used by A3 to provide the denominator current I3 which equals Avg. I4 and is returned to the squarer/divider to complete the implicit rms computation. I 2 I 4 = Avg 1 = I1 rms I4 and VOUT = VIN rms If the averaging capacitor is omitted, the AD637 will compute the absolute value of the input signal. A nominal 5 pF capacitor should be used to insure stability. The circuit operates identically to that of the rms configuration except that I3 is now equal to I4 giving I4 = I1 I4
2
the AD637 can be ac coupled through the addition of a nonpolar capacitor in series with the input as shown in Figure 2.
BUFFER 1 ABSOLUTE VALUE
AD637
14 NC 13 12 NC +VS -VS VO = CAV VIN3 OPTIONAL AC COUPLING VIN CAPACITOR
2 3 BIAS SECTION 4 5 25k 6 7
SQUARER/DIVIDER 25k
11 10
9 FILTER 8
Figure 2. Standard RMS Connection
The performance of the AD637 is tolerant of minor variations in the power supply voltages, however, if the supplies being used exhibit a considerable amount of high frequency ripple it is advisable to bypass both supplies to ground through a 0.1 F ceramic disc capacitor placed as close to the device as possible. The output signal range of the AD637 is a function of the supply voltages, as shown in Figure 3. The output signal can be used buffered or nonbuffered depending on the characteristics of the load. If no buffer is needed, tie buffer input (Pin 1) to common. The output of the AD637 is capable of driving 5 mA into a 2 k load without degrading the accuracy of the device.
20
Load MAX VOUT - Volts 2k
15
I 4 = I1 The denominator current can also be supplied externally by providing a reference voltage, VREF, to Pin 6. The circuit operates identically to the rms case except that I3 is now proportional to VREF. Thus: 2 I I 4 = Avg 1 I3 and 2 V V O = IN V DEN This is the mean square of the input signal.
STANDARD CONNECTION
10
5
0
0
3 5 10 15 SUPPLY VOLTAGE - DUAL SUPPLY - Volts
18
Figure 3. AD637 Max VOUT vs. Supply Voltage
CHIP SELECT
The AD637 is simple to connect for a majority of rms measurements. In the standard rms connection shown in Figure 2, only a single external capacitor is required to set the averaging time constant. In this configuration, the AD637 will compute the true rms of any input signal. An averaging error, the magnitude of which will be dependent on the value of the averaging capacitor, will be present at low frequencies. For example, if the filter capacitor CAV, is 4 F this error will be 0.1% at 10 Hz and increases to 1% at 3 Hz. If it is desired to measure only ac signals,
The AD637 includes a chip select feature which allows the user to decrease the quiescent current of the device from 2.2 mA to 350 A. This is done by driving the CS, Pin 5, to below 0.2 V dc. Under these conditions, the output will go into a high impedance state. In addition to lowering power consumption, this feature permits bussing the outputs of a number of AD637s to form a wide bandwidth rms multiplexer. If the chip select is not being used, Pin 5 should be tied high.
-4-
REV. E
AD637
OPTIONAL TRIMS FOR HIGH ACCURACY
The AD637 includes provisions to allow the user to trim out both output offset and scale factor errors. These trims will result in significant reduction in the maximum total error as shown in Figure 4. This remaining error is due to a nontrimmable input offset in the absolute value circuit and the irreducible nonlinearity of the device. The trimming procedure on the AD637 is as follows: l. Ground the input signal, VIN and adjust R1 to give 0 V output from Pin 9. Alternatively R1 can be adjusted to give the correct output with the lowest expected value of VIN. 2. Connect the desired full scale input to VIN, using either a dc or a calibrated ac signal, trim R3 to give the correct output at Pin 9, i.e., 1 V dc should give l.000 V dc output. Of course, a 2 V peak-to-peak sine wave should give 0.707 V dc output. Remaining errors are due to the nonlinearity.
5.0
functions of input signal frequency f, and the averaging time constant (: 25 ms/F of averaging capacitance). As shown in Figure 6, the averaging error is defined as the peak value of the ac component, ripple, plus the value of the dc error. The peak value of the ac ripple component of the averaging error is defined approximately by the relationship: 50 in % of reading where (t > 1/f) 6.3 f
EO IDEAL EO DC ERROR = AVERAGE OF OUTPUT-IDEAL
AVERAGE ERROR DOUBLE-FREQUENCY RIPPLE TIME
Figure 6. Typical Output Waveform for a Sinusoidal Input
AD637K MAX 2.5 ERROR - mV
INTERNAL TRIM
This ripple can add a significant amount of uncertainty to the accuracy of the measurement being made. The uncertainty can be significantly reduced through the use of a post filtering network or by increasing the value of the averaging capacitor. The dc error appears as a frequency dependent offset at the output of the AD637 and follows the equation: 1 in % of reading 0.16 + 6.4 2 f 2 Since the averaging time constant, set by CAV , directly sets the time that the rms converter "holds" the input signal during computation, the magnitude of the dc error is determined only by CAV and will not be affected by post filtering.
100 DC ERROR OR RIPPLE % OF READING
0
AD637K EXTERNAL TRIM
2.5 AD637K: 0.5mV 0.2% 0.25mV 0.05% EXTERNAL 5.0 0 0.5 1.0 INPUT LEVEL - Volts 1.5 2.0
Figure 4. Max Total Error vs. Input Level AD637K Internal and External Trims
BUFFER 1 ABSOLUTE VALUE
AD637
14 R4 147 13 VIN 12
10
2 +VS OUTPUT R1 OFFSET 50k ADJUST -VS 3 BIAS SECTION R2 1M 4 5 25k 6 7
PEAK RIPPLE
1.0 DC ERROR
SQUARER/DIVIDER 25k
11 10
+VS -VS
9 FILTER 8
+ CAV
0.1 10 V rms OUT
100 1k SINEWAVE INPUT FREQUENCY - Hz
10k
R3 1k SCALE FACTOR ADJUST, 2%
Figure 7. Comparison of Percent DC Error to the Percent Peak Ripple over Frequency Using the AD637 in the Standard RMS Connection with a 1 x F CAV
Figure 5. Optional External Gain and Offset Trims
CHOOSING THE AVERAGING TIME CONSTANT
The AD637 will compute the true rms value of both dc and ac input signals. At dc the output will track the absolute value of the input exactly; with ac signals the AD637's output will approach the true rms value of the input. The deviation from the ideal rms value is due to an averaging error. The averaging error is comprised of an ac and dc component. Both components are REV. E -5-
The ac ripple component of averaging error can be greatly reduced by increasing the value of the averaging capacitor. There are two major disadvantages to this: first, the value of the averaging capacitor will become extremely large and second, the settling time of the AD637 increases in direct proportion to the value of the averaging capacitor (Ts = 115 ms/F of averaging capacitance). A preferable method of reducing the ripple is through the use of the post filter network, shown in Figure 8. This network can be used in either a one or two pole configuration. For most applications the single pole filter will give the best overall compromise between ripple and settling time.
AD637
100 BUFFER BUFFER INPUT 1 ABSOLUTE VALUE 100
AD637
14
BUFFER OUTPUT
RMS OUTPUT
REQUIRED CAV - F
NC 2 ANALOG COM OUTPUT OFFSET 3 BIAS SECTION 4
13
SIGNAL INPUT + C3 +VS -VS
10
10
12 NC SQUARER/DIVIDER 25k 10 25k 9 FILTER 8 + CAV 11
1.0
1.0
CHIP SELECT 5 DENOMINATOR 6 INPUT dB 7
VALUES FOR CAV AND 1% SETTLING TIME 0.1 FOR STATED % OF READING AVERAGING ERROR* ACCURACY 2% DUE TO COMPONENT TOLERANCE * %dc ERROR + %RIPPLE (Peak) 1 10 100 1k INPUT FREQUENCY - Hz 10k
0.1
0.01
0.01 100k
RX 24k + C2
Figure 9a.
24k 100 FOR 1 POLE FILTER, SHORT RX AND REMOVE C3 VALUES OF CAV, C2 AND 1% SETTLING TIME FOR STATED % OF READING AVERAGING ERROR* FOR 1 POLE POST FILTER * %dc ERROR + % PEAK RIPPLE ACCURACY 20% DUE TO COMPONENT TOLERANCE 100
Figure 8. Two Pole Sallen-Key Filter
Figure 9a shows values of CAV and the corresponding averaging error as a function of sine-wave frequency for the standard rms connection. The 1% settling time is shown on the right side of the graph. Figure 9b shows the relationship between averaging error, signal frequency settling time and averaging capacitor value. This graph is drawn for filter capacitor values of 3.3 times the averaging capacitor value. This ratio sets the magnitude of the ac and dc errors equal at 50 Hz. As an example, by using a 1 F averaging capacitor and a 3.3 F filter capacitor, the ripple for a 60 Hz input signal will be reduced from 5.3% of reading using the averaging capacitor alone to 0.15% using the single pole filter. This gives a factor of thirty reduction in ripple and yet the settling time would only increase by a factor of three. The values of CAV and C2, the filter capacitor, can be calculated for the desired value of averaging error and settling time by using Figure 9b. The symmetry of the input signal also has an effect on the magnitude of the averaging error. Table I gives practical component values for various types of 60 Hz input signals. These capacitor values can be directly scaled for frequencies other than 60 Hz, i.e., for 30 Hz double these values, for 120 Hz they are halved. For applications that are extremely sensitive to ripple, the two pole configuration is suggested. This configuration will minimize capacitor values and settling time while maximizing performance. Figure 9c can be used to determine the required value of CAV, C2 and C3 for the desired level of ripple and settling time.
REQUIRED CAV (AND C2) C2 = 3.3 CAV
10
10
1.0
1.0
0.1
0.1
0.01 1 10 100 1k INPUT FREQUENCY - Hz 10k
0.01 100k
Figure 9b.
100 VALUES OF CAV, C2 AND C3 AND 1% SETTLING TIME FOR STATED % OF READING AVERAGING ERROR* 2 POLL SALLEN-KEY FILTER * %dc ERROR + % PEAK RIPPLE ACCURACY 20% DUE TO COMPONENT TOLERANCE 100
10
10
1.0
1.0
0.1
0.1
0.01
1
10
100 1k INPUT FREQUENCY - Hz
10k
0.01 100k
Figure 9c.
-6-
REV. E
FOR 1% SETTLING TIME IN SECONDS MULTIPLY READING BY 0.365
REQUIRED CAV (AND C2 + C3) C2 = C3 = 2.2 CAV
FOR 1% SETTLING TIME IN SECONDS MULTIPLY READING BY 0.400
FOR 1% SETTLING TIME IN SECONDS MULTIPLY READING BY 0.115
% 01 0. R O R ER 1% 0. R O R ER 1% R O R ER % 10 1% 5% 5% 1% R O R ER R O R R ER O R % 01 R ER 0. O R R 1% 0. ER RO ER 1% 0. R O R R ER O % R 01 R ER 0. O R R ER RO ER
AD637
Table I. Practical Values of CAV and C2 for Various Input Waveforms
Absolute Value Circuit Waveform and Period Recommended CAV and C2 Values for 1% Averaging Minimum Error@60Hz with T = 16.6ms R CAV 1% Recommended Recommended Settling Time Standard Time Constant Standard Value C Value C2
AV
AC MEASUREMENT ACCURACY AND CREST FACTOR
Input Waveform and Period
T
1/2T 0V 1/2T 0.47 F 1.5 F 181ms
A
Symmetrical Sine Wave
T
T T 0V 0.82 F 2.7 F 325ms
Crest factor is often overlooked in determining the accuracy of an ac measurement. Crest factor is defined as the ratio of the peak signal amplitude to the rms value of the signal (C.F. = Vp/ V rms). Most common waveforms, such as sine and triangle waves, have relatively low crest factors (2). Waveforms which resemble low duty cycle pulse trains, such as those occurring in switching power supplies and SCR circuits, have high crest factors. For example, a rectangular pulse train with a 1% duty cycle has a crest factor of 10 (C.F. = 1 ).
T = DUTY CYCLE =
e0
B
Sine Wave with dc Offset
100 s T
T
T T2 0V T T2 10(T - T2) 6.8 F 22 F 2.67sec
0
Vp 100 F
CF = 1/ eIN (rms) = 1 Volt rms
C
Pulse Train Waveform
10
T2
T
CAV = 22 F
10(T - 2T2) 5.6 F 18 F 2.17sec
D
T2
INCREASE IN ERROR - %
0V
1.0 CF = 10
FREQUENCY RESPONSE
The frequency response of the AD637 at various signal levels is shown in Figure 10. The dashed lines show the upper frequency limits for 1%, 10% and 3 dB of additional error. For example, note that for 1% additional error with a 2 V rms input the highest frequency allowable is 200 kHz. A 200 mV signal can be measured with 1% error at signal frequencies up to 100 kHz.
0.1
CF = 3 0.01
1
10 PULSEWIDTH -
100 s
1000
10
7V RMS INPUT 2V RMS INPUT 1V RMS INPUT 1% 10%
Figure 11. AD637 Error vs. Pulsewidth Rectangular Pulse
VOUT - Volts
1
0.1
100mV RMS INPUT
3dB
Figure 12 is a curve of additional reading error for the AD637 for a 1 volt rms input signal with crest factors from 1 to 11. A rectangular pulse train (pulsewidth 100 s) was used for this test since it is the worst-case waveform for rms measurement (all
+1.5
0.01
10mV RMS INPUT INCREASE IN ERROR - %
+1.0
1k
10k
100k 1M INPUT FREQUENCY - Hz
10M
+0.5
Figure 10. Frequency Response
0
To take full advantage of the wide bandwidth of the AD637 care must be taken in the selection of the input buffer amplifier. To insure that the input signal is accurately presented to the converter, the input buffer must have a -3 dB bandwidth that is wider than that of the AD637. A point that should not be overlooked is the importance of slew rate in this application. For example, the minimum slew rate required for a 1 V rms 5 MHz sine-wave input signal is 44 V/s. The user is cautioned that this is the minimum rising or falling slew rate and that care must be exercised in the selection of the buffer amplifier as some amplifiers exhibit a two-to-one difference between rising and falling slew rates. The AD845 is recommended as a precision input buffer.
+0.5 POSITIVE INPUT PULSE CAV = 22 F -1.0
-1.5 1 2 3 4 5 6 7 CREST FACTOR 8 9 10 11
Figure 12. Additional Error vs. Crest Factor
REV. E
-7-
AD637
MAGNITUDE OF ERROR - % OF rms LEVEL 2.0 1.8 1.6 1.4 1.2 CF = 10 1.0 0.8 CF = 7 0.6
DB CALIBRATION
1. 2. 3. 4.
Set VIN = 1.00 V dc or 1.00 V rms Adjust R1 for 0 dB out = 0.00 V Set VIN = 0.1 V dc or 0.10 V rms Adjust R2 for dB out = - 2.00 V
Any other dB reference can be used by setting VIN and R1 accordingly.
LOW FREQUENCY MEASUREMENTS
0.4 0.2 0.0 0.5 1.0 VIN - V rms 1.5 2.0 CF = 3
Figure 13. Error vs. RMS Input Level for Three Common Crest Factors
the energy is contained in the peaks). The duty cycle and peak amplitude were varied to produce crest factors from l to 10 while maintaining a constant 1 volt rms input amplitude. CONNECTION FOR dB OUTPUT Another feature of the AD637 is the logarithmic or decibel output. The internal circuit which computes dB works well over a 60 dB range. The connection for dB measurement is shown in Figure 14. The user selects the 0 dB level by setting R1 for the proper 0 dB reference current (which is set to exactly cancel the log output current from the squarer/divider circuit at the desired 0 dB point). The external op amp is used to provide a more convenient scale and to allow compensation of the +0.33%/C temperature drift of the dB circuit. The special T.C. resistor R3 is available from Tel Labs in Londenderry, New Hampshire (model Q-81) and from Precision Resistor Inc., Hillside, N.J. (model PT146).
If the frequencies of the signals to be measured are below 10 Hz, the value of the averaging capacitor required to deliver even 1% averaging error in the standard rms connection becomes extremely large. The circuit shown in Figure 15 shows an alternative method of obtaining low frequency rms measurements. The averaging time constant is determined by the product of R and CAV1, in this circuit 0.5 s/F of CAV. This circuit permits a 20:1 reduction in the value of the averaging capacitor, permitting the use of high quality tantalum capacitors. It is suggested that the two pole Sallen-Key filter shown in the diagram be used to obtain a low ripple level and minimize the value of the averaging capacitor. If the frequency of interest is below 1 Hz, or if the value of the averaging capacitor is still too large, the 20:1 ratio can be increased. This is accomplished by increasing the value of R. If this is done it is suggested that a low input current, low offset voltage amplifier like the AD548 be used instead of the internal buffer amplifier. This is necessary to minimize the offset error introduced by the combination of amplifier input currents and the larger resistance.
R2 SIGNAL INPUT 33.2k 5k +VS BUFFER BUFFER INPUT 1 ABSOLUTE VALUE
dB SCALE FACTOR ADJUST
AD637
14 13
BUFFER OUTPUT SIGNAL INPUT * 1k
R3 60.4
AD707JN
COMPENSATED dB OUTPUT + 100mV/dB -VS
NC 2 ANALOG COM OUTPUT OFFSET 3 BIAS SECTION 4
12 NC SQUARER/DIVIDER 25k 10 -VS 25k 9 FILTER 8 RMS OUTPUT + 1F 11 +VS
CHIP SELECT 5 DENOMINATOR 6 INPUT dB 7
CAV
10k +VS R1 500k +2.5 VOLTS *1k + 3500ppm TC RESISTOR TEL LAB Q81 PRECISION RESISTOR PT146 OR EQUIVALENT
AD508J
0dB ADJUST
Figure 14. dB Connection
-8-
REV. E
AD637
1F NOTE: VALUES CHOSEN TO GIVE 0.1% AVERAGING ERROR @ 1Hz BUFFER 1 ABSOLUTE VALUE 3.3M 3.3M 1F 14 SIGNAL INPUT -VS 6.8M +VS
AD637
AD548JN
FILTERED V rms OUTPUT
NC 2 +VS OUTPUT OFFSET 50k ADJUST -VS 1M 4 5 25k 6 7 3 BIAS SECTION
13 12 NC
SQUARER/DIVIDER 25k
1000pF 11 10 9 +VS -VS VIN2 V rms
+
100 F
FILTER
8
CAV
499k CAV1 3.3 F R
1%
Figure 15. AD637 as a Low Frequency RMS Converter
VECTOR SUMMATION
EXPANDABLE
Vector summation can be accomplished through the use of two AD637s as shown in Figure 16. Here the averaging capacitors are omitted (nominal 100 pF capacitors are used to insure stability of the filter amplifier), and the outputs are summed as shown. The output of the circuit is V O = V X +V Y
2 2
BUFFER 1
AD637
14 ABSOLUTE VALUE 13 12 VX IN
2 3 BIAS SECTION 4 5 25k 6 7
This concept can be expanded to include additional terms by feeding the signal from Pin 9 of each additional AD637 through a 10 k resistor to the summing junction of the AD711, and tying all of the denominator inputs (Pin 6) together. If CAV is added to IC1 in this configuration, the output is V X +V Y . If the averaging capacitor is included on both
2 2
SQUARER/DIVIDER 25k
11 10
+VS -VS
9 100pF FILTER 8 10k BUFFER 5pF 10k
IC1 and IC2, the output will be
2 2 V X +V Y .
AD637
14 ABSOLUTE VALUE 13 12 VX IN
1
This circuit has a dynamic range of 10 V to 10 mV and is limited only by the 0.5 mV offset voltage of the AD637. The useful bandwidth is 100 kHz.
2 3 BIAS SECTION 4 5 25k 6 7
AD711K
10k +VS 20k -VS
SQUARER/DIVIDER 25k
11 10
9 100pF FILTER 8
VOUT =
VX2 + VV2
Figure 16. AD637 Vector Sum Configuration
REV. E
-9-
AD637
OUTLINE DIMENSIONS
Dimensions shown in inches and (mm).
TO-116 Package (D-14)
0.005 (0.13) MIN
14
Cerdip Package (Q-14)
C804f-0-12/99 (rev. E)
0.005 (0.13) MIN
14
0.098 (2.49) MAX
8
0.098 (2.49) MAX
8
0.310 (7.87) 0.220 (5.59)
1 7 1 7
0.310 (7.87) 0.220 (5.59) PIN 1 0.785 (19.94) MAX 0.320 (8.13) 0.290 (7.37)
PIN 1 0.785 (19.94) MAX 0.200 (5.08) MAX 0.200 (5.08) 0.125 (3.18) 0.023 (0.58) 0.014 (0.36)
0.060 (1.52) 0.015 (0.38) 0.150 (3.81) MAX
0.320 (8.13) 0.290 (7.37) 0.200 (5.08) MAX 0.015 (0.38) 0.008 (0.20)
0.060 (1.52) 0.015 (0.38)
0.100 0.070 (1.78) SEATING (2.54) 0.030 (0.76) PLANE BSC
0.200 (5.08) 0.125 (3.18) 0.023 (0.58) 0.014 (0.36)
0.150 (3.81) MIN 0.100 0.070 (1.78) SEATING (2.54) 0.030 (0.76) PLANE BSC
15 0
0.015 (0.38) 0.008 (0.20)
SOIC Package (R-16)
0.4133 (10.50) 0.3977 (10.00)
16
9
0.2992 (7.60) 0.2914 (7.40)
1 8
0.4193 (10.65) 0.3937 (10.00)
PIN 1
0.050 (1.27) BSC
0.1043 (2.65) 0.0926 (2.35)
0.0291 (0.74) 0.0098 (0.25)
45
0.0118 (0.30) 0.0040 (0.10)
8 0.0192 (0.49) SEATING 0 0.0125 (0.32) 0.0138 (0.35) PLANE 0.0091 (0.23)
0.0500 (1.27) 0.0157 (0.40)
-10-
REV. E
PRINTED IN U.S.A.

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