Energy Metering IC with Integrated
Oscillator and No-Load Indication
ADE7769
Rev. A
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FEATURES
On-chip oscillator as clock source
High accuracy, supports 50 Hz/60 Hz IEC62053-21
Less than 0.1% error over a dynamic range of 500 to 1
Supplies average real power on frequency outputs F1 and F2
High frequency output CF calibrates and supplies
instantaneous real power
CF output remains logic high when ADE7769 is under
no-load threshold
Logic output REVP indicates a potential miswiring or
negative power
Direct drive for electromechanical counters and 2-phase
stepper motors (F1 and F2)
Proprietary ADCs and DSPs provide high accuracy over
large variations in environmental conditions and time
On-chip power supply monitoring
On-chip creep protection (no-load threshold)
On-chip reference 2.45 V (20 ppm/°C typical) with external
overdrive capability
Single 5 V supply, low power (20 mW typical)
Low cost CMOS process
GENERAL DESCRIPTION
The ADE77691 is a high accuracy electrical energy metering IC.
It is a pin reduction version of the ADE7755 with an enhanced,
precise oscillator circuit that serves as a clock source to the chip.
The ADE7769 eliminates the cost of an external crystal or
resonator, thus reducing the overall cost of a meter built with
this IC. The chip directly interfaces with the shunt resistor.
1U.S. Patents 5,745,323; 5,760,617; 5,862,069; 5,872,469; others pending.
The ADE7769 specifications surpass the accuracy require-
ments of the IEC62053-21 standard. The AN-679 Application
Note can be used as a basis for a description of an IEC61036
(equivalent to IEC62053-21) low cost, watt-hour meter
reference design.
The only analog circuitry used in the ADE7769 is in the Σ-Δ
ADCs and reference circuit. All other signal processing, such as
multiplication and filtering, is carried out in the digital domain.
This approach provides superior stability and accuracy over
time and extreme environmental conditions.
The ADE7769 supplies average real power information on the
low frequency outputs, F1 and F2. These outputs can be used to
directly drive an electromechanical counter or interface with an
MCU. The high frequency CF logic output, ideal for calibration
purposes, provides instantaneous real power information.
The ADE7769 includes a power supply monitoring circuit on
the VDD supply pin. The ADE7769 remains inactive until the
supply voltage on VDD reaches approximately 4 V. If the supply
falls below 4 V, the ADE7769 also remains inactive and the F1,
F2, and CF outputs are in their nonactive modes.
Internal phase matching circuitry ensures that the voltage and
current channels are phase matched, while the HPF in the
current channel eliminates dc offsets. An internal no-load
threshold ensures that the ADE7769 does not exhibit creep
when no load is present. During a no-load condition, the CF
pin stays logic high.
The ADE7769 has a 16-lead, narrow body SOIC package.
FUNCTIONAL BLOCK DIAGRAM
MULTIPLIER
REVP
V2P
V2N
V1P
RCLKIN
REF
IN/OUT
F1 F2
CF
SCF S0 S1
PHASE
CORRECTION
4kΩ
...110101...
SIGNAL
PROCESSING
BLOCK
POWER
SUPPLY MONITOR
Σ-Δ
ADC
V1N
ADE7769
...11011001...
2.5V
REFERENCE
V
DD
AGND DGND
Φ
INTERNAL
OSCILLATOR
Σ-Δ
ADC
LPF
HPF
+
+
1 6 13
7 11 8 10 12 14 16 159
DIGITAL-TO-FREQUENCY
CONVERTER
2
3
4
5
05332-001
Figure 1.
ADE7769
Rev. A | Page 2 of 20
TABLE OF CONTENTS
Specifications..................................................................................... 3
Timing Characteristics ................................................................ 4
Absolute Maximum Ratings............................................................ 5
ESD Caution.................................................................................. 5
Terminology ...................................................................................... 6
Pin Configuration and Function Descriptions............................. 7
Typical Performance Characteristics ............................................. 8
Functional Description.................................................................. 10
Theory of Operation.................................................................. 10
Analog Inputs.............................................................................. 11
Power Supply Monitor............................................................... 12
Internal Oscillator (OSC).......................................................... 14
Transfer Function....................................................................... 14
Selecting a Frequency for an Energy Meter Application ...... 15
No-Load Threshold.................................................................... 16
Negative Power Information..................................................... 16
Evaluation Board and Reference Design Board..................... 16
Outline Dimensions....................................................................... 17
Ordering Guide .......................................................................... 17
REVISION HISTORY
8/05—Sp0 to Rev. A
ADE7769
Rev. A | Page 3 of 20
SPECIFICATIONS
VDD = 5 V ± 5%, AGND = DGND = 0 V, on-chip reference, RCLKIN = 6.2 kΩ, 0.5% ± 50 ppm/°C, TMIN to TMAX = −40°C to +85°C,
unless otherwise noted.
Table 1.
Parameter Value Unit Test Conditions/Comments
ACCURACY1, 2
Measurement Error1 on Channel V1 0.1 % reading typ Channel V2 with full-scale signal (±165 mV),
25°C over a dynamic range 500 to 1,
line frequency = 45 Hz to 65 Hz
Phase Error1 Between Channels
V1 Phase Lead 37° (PF = 0.8 Capacitive) ±0.1 Degrees (°) max
V1 Phase Lag 60° (PF = 0.5 Inductive) ±0.1 Degrees (°) max
AC Power Supply Rejection1
Output Frequency Variation (CF) 0.2 % reading typ S0 = S1 = 1, V1 = 21.2 mV rms, V2 = 116.7 mV rms @
50 Hz, ripple on VDD of 200 mV rms @ 100 Hz
DC Power Supply Rejection1
Output Frequency Variation (CF) ±0.3 % reading typ S0 = S1 = 1, V1 = 21.2 mV rms, V2 = 116.7 mV rms,
VDD = 5 V ± 250 mV
ANALOG INPUTS See the Analog Inputs section
Channel V1 Maximum Signal Level ±30 mV max V1P and V1N to AGND
Channel V2 Maximum Signal Level ±165 mV max V2P and V2N to AGND
Input Impedance (DC) 320 kΩ min OSC = 450 kHz, RCLKIN = 6.2 kΩ, 0.5% ± 50 ppm/°C
Bandwidth (–3 dB) 7 kHz nominal OSC = 450 kHz, RCLKIN = 6.2 kΩ, 0.5% ± 50 ppm/°C
ADC Offset Error1, 2±18 mV max See the Terminology and Typical Performance
Characteristics sections
Gain Error1±4 % ideal typ External 2.5 V reference, V1 = 21.2 mV rms,
V2 = 116.7 mV rms
OSCILLATOR FREQUENCY (OSC) 450 kHz nominal RCLKIN = 6.2 kΩ, 0.5% ± 50 ppm/°C
Oscillator Frequency Tolerance1±12 % reading typ
Oscillator Frequency Stability1±30 ppm/°C typ
REFERENCE INPUT
REFIN/OUT Input Voltage Range 2.65 V max 2.45 V nominal
2.25 V min 2.45 V nominal
Input Capacitance 10 pF max
ON-CHIP REFERENCE 2.45 V nominal
Reference Error ±200 mV max
Temperature Coefficient ±20 ppm/°C typ
LOGIC INPUTS3
SCF, S0, S1
Input High Voltage, VINH 2.4 V min VDD = 5 V ± 5%
Input Low Voltage, VINL 0.8 V max VDD = 5 V ± 5%
Input Current, IIN ±1 μA max Typically 10 nA, VIN = 0 V to VDD
Input Capacitance, CIN 10 pF max
LOGIC OUTPUTS3
F1 and F2
Output High Voltage, VOH 4.5 V min ISOURCE = 10 mA, VDD = 5 V, ISINK = 10 mA, VDD = 5 V
Output Low Voltage, VOL 0.5 V max
CF
Output High Voltage, VOH 4 V min ISOURCE = 5 mA, VDD = 5 V, ISINK = 5 mA, VDD = 5 V
Output Low Voltage, VOL 0.5 V max
Frequency Output Error1, 2 (CF) ±10 % ideal typ External 2.5 V reference, V1 = 21.2 mV rms,
V2 = 116.7 mV rms
ADE7769
Rev. A | Page 4 of 20
Parameter Value Unit Test Conditions/Comments
POWER SUPPLY For specified performance
VDD 4.75 V min 5 V – 5%
5.25 V max 5 V + 5%
IDD 5 mA max Typically 4 mA
1 See the Terminology section for an explanation of specifications.
2 See the figures in the Typical Performance Characteristics section.
3 Sample tested during initial release and after any redesign or process change that may affect this parameter.
TIMING CHARACTERISTICS
VDD = 5 V ± 5%, AGND = DGND = 0 V, on-chip reference, RCLKIN = 6.2 kΩ, 0.5% ± 50 ppm/°C, TMIN to TMAX = −40°C to +85°C,
unless otherwise noted. Sample tested during initial release and after any redesign or process change that may affect this parameter.
See Figure 2.
Table 2.
Parameter Specifications Unit Test Conditions/Comments
t11120 ms F1 and F2 pulse width (logic low).
t2 See Table 6 sec Output pulse period. See the Transfer Function section.
t3 1/2 t2 sec Time between the F1 and F2 falling edges.
t41, 290 ms CF pulse width (logic high).
t5 See Table 7 sec CF pulse period. See the Transfer Function section.
t6 2 μs Minimum time between the F1 and F2 pulses.
1 The pulse widths of F1, F2, and CF are not fixed for higher output frequencies. See the Frequency Outputs section.
2 The CF pulse is always 35 μs in high frequency mode. See the Frequency Outputs section and Table 7.
F1
F2
CF
t
1
t
5
t
4
t
2
t
6
t
3
05332-002
Figure 2. Timing Diagram for Frequency Outputs
ADE7769
Rev. A | Page 5 of 20
ABSOLUTE MAXIMUM RATINGS
TA = 25°C, unless otherwise noted.
Table 3.
Parameter Value
VDD to AGND −0.3 V to +7 V
VDD to DGND –0.3 V to +7 V
Analog Input Voltage to AGND,
V1P, V1N, V2P, and V2N –6 V to +6 V
Reference Input Voltage to AGND –0.3 V to VDD + 0.3 V
Digital Input Voltage to DGND –0.3 V to VDD + 0.3 V
Digital Output Voltage to DGND –0.3 V to VDD + 0.3 V
Operating Temperature Range –40°C to +85°C
Storage Temperature Range –65°C to +150°C
Junction Temperature 150°C
16-Lead Plastic SOIC, Power Dissipation 350 mW
θJA Thermal Impedance1124.9°C/W
Package Temperature Soldering See J-STD-20
1 JEDEC 1S standard (2-layer) board data.
Stresses above those listed under Absolute Maximum Ratings
may cause permanent damage to the device. This is a stress
rating only and functional operation of the device at these or
any other conditions above those indicated in the operational
section of this specification is not implied. Exposure to absolute
maximum rating conditions for extended periods may affect
device reliability.
ESD 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 this product 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 degrada-
tion or loss of functionality.
ADE7769
Rev. A | Page 6 of 20
TERMINOLOGY
Measurement Error
The error associated with the energy measurement made by the
ADE7769 is defined by the following formula:
100%
EnergyTrue
EnergyTrueADE7769byRegisteredEnergy
%Error ×
=
Phase Error Between Channels
The high-pass filter (HPF) in the current channel (Channel V1)
has a phase-lead response. To offset this phase response and
equalize the phase response between channels, a phase-
correction network is also placed in Channel V1. The phase-
correction network matches the phase to within 0.1° over a
range of 45 Hz to 65 Hz, and 0.2° over a range 40 Hz to 1 kHz
(see Figure 23 and Figure 24).
Power Supply Rejection (PSR)
This quantifies the ADE7769 measurement error as a
percentage of reading when the power supplies are varied.
For the ac PSR measurement, a reading at nominal supplies
(5 V) is taken. A 200 mV rms/100 Hz signal is then introduced
onto the supplies, and a second reading is obtained under the
same input signal levels. Any error introduced is expressed as a
percentage of reading—see the Measurement Error definition.
For the dc PSR measurement, a reading at nominal supplies
(5 V) is taken. The supplies are then varied 5% and a second
reading is obtained with the same input signal levels. Any error
introduced is again expressed as a percentage of the reading.
ADC Offset Error
This refers to the small dc signal (offset) associated with the
analog inputs to the ADCs. However, the HPF in Channel V1
eliminates the offset in the circuitry. Therefore, the power
calculation is not affected by this offset.
Frequency Output Error (CF)
The frequency output error of the ADE7769 is defined as the
difference between the measured output frequency (minus the
offset) and the ideal output frequency. The difference is
expressed as a percentage of the ideal frequency. The ideal
frequency is obtained from the ADE7769 transfer function.
Gain Error
The gain error of the ADE7769 is defined as the difference
between the measured output of the ADCs (minus the offset)
and the ideal output of the ADCs. The difference is expressed as
a percentage of the ideal of the ADCs.
Oscillator Frequency Tolerance
The oscillator frequency tolerance of the ADE7769 is defined as
the part-to-part frequency variation in terms of percentage
at room temperature (25°C). It is measured by taking the
difference between the measured oscillator frequency and the
nominal frequency defined in the Specifications section.
Oscillator Frequency Stability
Oscillator frequency stability is defined as frequency variation
in terms of the parts-per-million drift over the operating
temperature range. In a metering application, the temperature
range is −40°C to +85°C. Oscillator frequency stability is
measured by taking the difference between the measured
oscillator frequency at −40°C and +85°C and the measured
oscillator frequency at +2C.
ADE7769
Rev. A | Page 7 of 20
PIN CONFIGURATION AND FUNCTION DESCRIPTIONS
V
DD 1
V2P
2
V2N
3
V1N
4
F1
16
F2
15
CF
14
DGND
13
V1P
5
REVP
12
AGND
6
RCLKIN
11
REF
IN/OUT 7
S0
10
SCF
8
S1
9
ADE7769
TOP VIEW
(Not to Scale)
05332-003
Figure 3. Pin Configuration
Table 4. Pin Function Descriptions
Pin No. Mnemonic Description
1 VDD Power Supply. This pin provides the supply voltage for the circuitry in the ADE7769. The supply voltage
should be maintained at 5 V ± 5% for specified operation. This pin should be decoupled with a 10 μF
capacitor in parallel with a 100 nF ceramic capacitor.
2, 3 V2P, V2N Analog Inputs for Channel V2 (Voltage Channel). These inputs provide a fully differential input pair. The
maximum differential input voltage is ±165 mV for specified operation. Both inputs have internal ESD
protection circuitry; an overvoltage of ±6 V can be sustained on these inputs without risk of permanent
damage.
4, 5 V1N, V1P Analog Inputs for Channel V1 (Current Channel). These inputs are fully differential voltage inputs with a
maximum signal level of ±30 mV with respect to the V1N pin for specified operation. Both inputs have
internal ESD protection circuitry and, in addition, an overvoltage of ±6 V can be sustained on these inputs
without risk of permanent damage.
6 AGND This pin provides the ground reference for the analog circuitry in the ADE7769, that is, the ADCs and
reference. This pin should be tied to the analog ground plane of the PCB. The analog ground plane is the
ground reference for all analog circuitry, such as antialiasing filters, current and voltage sensors, and so forth.
For accurate noise suppression, the analog ground plane should be connected to the digital ground plane at
only one point. A star ground configuration helps to keep noisy digital currents away from the analog
circuits.
7 REFIN/OUT This pin provides access to the on-chip voltage reference. The on-chip reference has a nominal value of 2.45 V
and a typical temperature coefficient of 20 ppm/°C. An external reference source may also be connected at
this pin. In either case, this pin should be decoupled to AGND with a 1 μF tantalum capacitor and a 100 nF
ceramic capacitor. The internal reference cannot be used to drive an external load.
8 SCF Select Calibration Frequency. This logic input is used to select the frequency on the calibration output CF. See
Table 7.
9, 10 S1, S0 These logic inputs are used to select one of four possible frequencies for the digital-to-frequency conversion.
With this logic input, designers have greater flexibility when designing an energy meter. See the Selecting a
Frequency for an Energy Meter Application section.
11 RCLKIN To enable the internal oscillator as a clock source to the chip, a precise low temperature drift resistor at a
nominal value of 6.2 kΩ must be connected from this pin to DGND.
12 REVP This logic output goes high when negative power is detected, that is, when the phase angle between the
voltage and current signals is greater than 90°. This output is not latched and is reset when positive power is
once again detected. The output goes high or low at the same time that a pulse is issued on CF.
13 DGND This pin provides the ground reference for the digital circuitry in the ADE7769, that is, the multiplier, filters,
and digital-to-frequency converter. This pin should be tied to the digital ground plane of the PCB. The digital
ground plane is the ground reference for all digital circuitry, such as the counters (mechanical and digital),
MCUs, and indicator LEDs. For accurate noise suppression, the analog ground plane should be connected to
the digital ground plane at one point only—a star ground.
14 CF Calibration Frequency Logic Output. The CF logic output provides instantaneous real power information. This
output is intended for calibration purposes. See the SCF pin description. This output stays high when the part
is in a no-load condition.
15, 16 F2, F1 Low Frequency Logic Outputs. F1 and F2 supply average real power information. The logic outputs can be
used to directly drive electromechanical counters and 2-phase stepper motors. See the Transfer Function
section.
ADE7769
Rev. A | Page 8 of 20
TYPICAL PERFORMANCE CHARACTERISTICS
6.2kΩ
V2N
200Ω
2
20V
150nF
V2P
200Ω
602kΩ
V1P
V1N
350μΩ
40A TO
40mA
REF
IN/OUT
100nF
1μF
100nF 10μF
V
DD
DGND
F1
F2
CF
REVP
RCLKIN
S0
S1
SCF 10nF 10nF 10nF
U3
PS2501-1
K7
K8
U1
ADE7769
10kΩ
V
DD
200Ω
200Ω
150nF
150nF
AGND
150nF
V
DD
+
+
+
820Ω
2
3
5
4
7
613
1
16
15
14
12
11
10
9
8
14
2 3
05332-004
Figure 4. Test Circuit for Performance Curves
–1.0
–0.8
–0.6
–0.4
–0.2
0
ERROR (% of Reading)
0.2
0.4
0.6
05332-019
CURRENT CHANNEL (% of Full Scale)
0.1 101 100
0.8
1.0
+25°C
+85°C
–40°C
PF = 1
ON-CHIP REFERENCE
Figure 5. Error as a % of Reading over Temperature
with On-Chip Reference (PF = 1)
–1.0
–0.8
–0.6
–0.4
–0.2
0
ERROR (% of Reading)
0.2
0.4
0.6
05332-020
CURRENT CHANNEL (% of Full Scale)
0.1 101 100
0.8
1.0
+85°C, PF = 0.5 IND
+25°C, PF = 1
–40°C, PF = 0.5 IND
+25°C, PF = 0.5 IND
PF = 0.5 IND
ON-CHIP REFERENCE
Figure 6. Error as a % of Reading over Temperature
with On-Chip Reference (PF = 0.5 IND)
–1.0
–0.8
–0.6
–0.4
–0.2
0
ERROR (% of Reading)
0.2
0.4
0.6
05332-021
CURRENT CHANNEL (% of Full Scale)
0.1 101 100
0.8
1.0
+25°C
+85°C
–40°C
PF = 1
EXTERNAL REFERENCE
Figure 7. Error as a % of Reading over Temperature
with External Reference (PF = 1)
–1.0
–0.8
–0.6
–0.4
–0.2
0
ERROR (% of Reading)
0.2
0.4
0.6
05332-022
CURRENT CHANNEL (% of Full Scale)
0.1 101 100
0.8
1.0
+85°C, PF = 0.5 IND
+25°C, PF = 1
+25°C, PF = 0.5 IND
–40°C, PF = 0.5 IND
PF = 0.5 IND
EXTERNAL REFERENCE
Figure 8. Error as a % of Reading over Temperature
with External Reference (PF = 0.5 IND)
ADE7769
Rev. A | Page 9 of 20
–0.5
–0.4
–0.3
–0.2
–0.1
0
0.1
0.2
0.3
0.4
0.5
ERROR (% of Reading)
FREQUENCY (Hz)
5045 55 60 65
05332-018
PF = 0.5 IND
PF = 0.5 CAP
PF = 1
Figure 9. Error as a % of Reading over Input Frequency
–1.0
–0.8
–0.6
–0.4
–0.2
0
ERROR (% of Reading)
0.2
0.4
0.6
05332-023
CURRENT CHANNEL (% of Full Scale)
0.1 101 100
0.8
1.0
5.25V
5V
4.75V
PF = 1
ON-CHIP REFERENCE
Figure 10. PSR with On-Chip Reference, PF = 1
–1.0
–0.8
–0.6
–0.4
–0.2
0
ERROR (% of Reading)
0.2
0.4
0.6
05332-024
CURRENT CHANNEL (% of Full Scale)
0.1 101 100
0.8
1.0
5.25V
5V
4.75V
PF = 1
EXTERNAL REFERENCE
Figure 11. PSR with External Reference, PF = 1
40
FREQUENCY
CHANNEL V1 OFFSET (mV)
05332-025
543210123456789
EXTERNAL REFERENCE
TEMPERATURE = 25°C
0
10
20
30
DISTRIBUTION CHARACTERISTICS
MEAN = 2.247828
SDs = 1.367176
MIN = –2.09932
MAX = +5.28288
NO. OF POINTS = 100
Figure 12. Channel V1 Offset Distribution
0
10
20
30
40
50
FREQUENCY
CHANNEL V2 OFFSET (mV)
05332-026
12108642024681012
EXTERNAL REFERENCE
TEMPERATURE = 25°C
DISTRIBUTION CHARACTERISTICS
MEAN = –1.563484
SDs = 2.040699
MIN = –6.82969
MAX = +2.6119
NO. OF POINTS = 100
Figure 13. Channel V2 Offset Distribution
–10 –8 –6 –4 –2 0 2 4 6 8 10 12
0
200
400
600
800
1000
FREQUENCY
DEVIATION FROM MEAN (%)
05332-027
EXTERNAL REFERENCE
TEMPERATURE = 25°C
DISTRIBUTION CHARACTERISTICS
MEAN = 0%
SDs = 1.55%
MIN = –11.79%
MAX = +6.08%
NO. OF POINTS = 3387
Figure 14. Part-to-Part CF Deviation from Mean
ADE7769
Rev. A | Page 10 of 20
FUNCTIONAL DESCRIPTION
THEORY OF OPERATION
The two ADCs in the ADE7769 digitize the voltage signals from
the current and voltage sensors. These ADCs are 16-bit Σ-Δs
with an oversampling rate of 450 kHz. This analog input
structure greatly simplifies sensor interfacing by providing a
wide dynamic range for direct connection to the sensor and by
simplifying the antialiasing filter design. A high-pass filter in
the current channel removes any dc component from the
current signal. This eliminates any inaccuracies in the real
power calculation due to offsets in the voltage or current
signals.
The real power calculation is derived from the instantaneous
power signal. The instantaneous power signal is generated by
a direct multiplication of the current and voltage signals. To
extract the real power component (the dc component), the
instantaneous power signal is low-pass filtered. Figure 15
illustrates the instantaneous real power signal and shows how
the real power information can be extracted by low-pass
filtering the instantaneous power signal. This scheme correctly
calculates real power for sinusoidal current and voltage
waveforms at all power factors. All signal processing is carried
out in the digital domain for superior stability over temperature
and time.
TIME TIME
ADC
ADC
CH1
CH2
MULTIPLIER
F1
F2
DIGITAL-TO-
FREQUENCY
CF
DIGITAL-TO-
FREQUENCY
INSTANTANEOUS REAL
POWER SIGNAL
INSTANTANEOUS
POWER SIGNAL – p(t)
LPF
HPF
05332-005
Figure 15. Signal Processing Block Diagram
The low frequency outputs (F1 and F2) are generated by
accumulating this real power information. This low frequency
inherently means a long accumulation time between output
pulses. Consequently, the resulting output frequency is propor-
tional to the average real power. This average real power
information is then accumulated (by a counter) to generate real
energy information. Conversely, due to its high output frequen-
cy and shorter integration time, the CF output frequency is
proportional to the instantaneous real power. This is useful for
system calibration, which can be done faster under steady load
conditions.
Power Factor Considerations
The method used to extract the real power information from
the instantaneous power signal, that is, by low-pass filtering, is
still valid even when the voltage and current signals are not in
phase. Figure 16 shows the unity power factor condition and a
displacement power factor (DPF) = 0.5, that is, current signal
lagging the voltage by 60°. Assuming that the voltage and
current waveforms are sinusoidal, the real power component of
the instantaneous power signal (that is, the dc term) is given by
(
°×
×60cos
2
IV
)
(1)
This is the correct real power calculation.
V× I
2
0V
POWER
CURRENT
VOLTAGE
POWER
TIME
TIME
VOLTAGE CURRENT
V× I
2COS (60°)
0V
INSTANTANEOUS
POWER SIGNAL INSTANTANEOUS REAL
POWER SIGNAL
INSTANTANEOUS
POWER SIGNAL
INSTANTANEOUS REAL
POWER SIGNAL
60°
05332-006
Figure 16. DC Component of Instantaneous Power Signal Conveys
Real Power Information, PF < 1
Nonsinusoidal Voltage and Current
The real power calculation method also holds true for
nonsinusoidal current and voltage waveforms. All voltage
and current waveforms in practical applications have some
harmonic content. Using the Fourier transform, instantaneous
voltage and current waveforms can be expressed in terms of
their harmonic content.
(
h
0h
h
0αtVVtv +××+=
sin2)(
)
(2)
where:
v(t) is the instantaneous voltage.
V0 is the average value.
Vh is the rms value of voltage harmonic h.
αh is the phase angle of the voltage harmonic.
ADE7769
Rev. A | Page 11 of 20
(
)
+××+=
oh hh
OβtIIti sin2)( (3)
where:
i(t) is the instantaneous current.
I0 is the dc component.
Ih is the rms value of current harmonic h.
is the phase angle of the current harmonic.
h
β
Using Equations 2 and 3, the real power (P) can be expressed in
terms of its fundamental real power (P1) and harmonic real
power (PH) as P = P1 + PH
where:
(4)
1111 IVP
φ
cos×=
111
βαφ
=
and
hh
1h hH IVP
φ
cos×=
(5)
hhh
βαφ
=
In Equation 5, a harmonic real power component is generated
for every harmonic, provided that harmonic is present in both
the voltage and current waveforms. The power factor calcu-
lation has previously been shown to be accurate in the case of a
pure sinusoid. Therefore, the harmonic real power must also
correctly account for the power factor because it is made up of
a series of pure sinusoids.
Note that the input bandwidth of the analog inputs is 7 kHz at
the nominal internal oscillator frequency of 450 kHz.
ANALOG INPUTS
Channel V1 (Current Channel)
The voltage output from the current sensor is connected to the
ADE7769 here. Channel V1 is a fully differential voltage input.
V1P is the positive input with respect to V1N.
The maximum peak differential signal on Channel V1 should
be less than ±30 mV (21 mV rms for a pure sinusoidal signal)
for specified operation.
+
30mV
30mV
V
CM
V1
DIFFERENTIAL INPUT
±30mV MAX PEAK
COMMON-MODE
±6.25mV MAX
V1P
V1N
V1
V
CM
AGND
05332-007
Figure 17. Maximum Signal Levels, Channel V1
Figure 17 shows the maximum signal levels on V1P and V1N.
The maximum differential voltage is ±30 mV. The differential
voltage signal on the inputs must be referenced to a common
mode, for example, AGND. The maximum common-mode
signal is ±6.25 mV, as shown in Figure 17.
Channel V2 (Voltage Channel)
The output of the line voltage sensor is connected to the
ADE7769 at this analog input. Channel V2 is a fully differential
voltage input with a maximum peak differential signal of
±165 mV. Figure 18 shows the maximum signal levels that can
be connected to the ADE7769 Channel V2.
+165mV
–165mV
V
CM
V2
DIFFERENTIAL INPUT
±165mV MAX PEAK
COMMON-MODE
±25mV MAX
V2P
V2N
V2
V
CM
AGND
05332-008
Figure 18. Maximum Signal Levels, Channel V2
Channel V2 is usually driven from a common-mode voltage,
that is, the differential voltage signal on the input is referenced
to a common mode (usually AGND). The analog inputs of the
ADE7769 can be driven with common-mode voltages of up to
25 mV with respect to AGND. However, best results are
achieved using a common mode equal to AGND.
Typical Connection Diagrams
Figure 19 shows a typical connection diagram for Channel V1.
A shunt is the current sensor selected for this example because
of its low cost compared to other current sensors, such as the
current transformer (CT). This IC is ideal for low current meters.
V1P
V1N
C
F
C
F
R
F
R
F
±30mV
SHUNT
AGND
PHASE NEUTRAL
05332-009
Figure 19. Typical Connection for Channel V1
Figure 20 shows a typical connection for Channel V2. Typically,
the ADE7769 is biased around the phase wire, and a resistor
divider is used to provide a voltage signal that is proportional to
the line voltage. Adjusting the ratio of RA, RB, and RBF is also a
convenient way of carrying out a gain calibration on a meter.
ADE7769
Rev. A | Page 12 of 20
V2P
V2N
C
F
PHASENEUTRAL
R
F
±165mV
C
F
R
F
R
B
R
A
*
*R
A
>> R
B
+ R
F
05332-010
Figure 20. Typical Connections for Channel V2
POWER SUPPLY MONITOR
The ADE7769 contains an on-chip power supply monitor. The
power supply (VDD) is continuously monitored by the ADE7769.
If the supply is less than 4 V, the ADE7769 becomes inactive.
This is useful to ensure proper device operation at power-up
and power-down. The power supply monitor has built-in
hysteresis and filtering, which provide a high degree of
immunity to false triggering from noisy supplies.
In Figure 21, the trigger level is nominally set at 4 V. The toler-
ance on this trigger level is within ±5%. The power supply and
decoupling for the part should be such that the ripple at VDD
does not exceed 5 V ± 5%, as specified for normal operation.
V
DD
5V
4V
0V
TIME
INACTIVE ACTIVE INACTIVE
INTERNAL
A
CTIVATION
05332-011
Figure 21. On-Chip Power Supply Monitor
HPF and Offset Effects
Figure 22 shows the effect of offsets on the real power calcula-
tion. As can be seen, offsets on Channel V1 and Channel V2
contribute a dc component after multiplication. Because this dc
component is extracted by the LPF and used to generate the real
power information, the offsets contribute a constant error to the
real power calculation. This problem is easily avoided by the
built-in HPF in Channel V1. By removing the offsets from at
least one channel, no error component can be generated at dc
by the multiplication. Error terms at the line frequency (ω) are
removed by the LPF and the digital-to-frequency conversion
(see the Digital-to-Frequency Conversion section).
Equation 6 shows how the power calculation is affected by the
dc offsets in the current and voltage channels.
(
)
(
)
}cos{}cos{ OSOS IωtIVωtV +
×
+
(6)
() ()
ωtVIωtIVIV
IV
OSOSOSOS coscos
2×+×+×+
×
=
()
ωt
IV 2cos
2×
×
+
DC COMPONENT (INCLUDING ERROR TERM)
IS EXTRACTED BY THE LPF FOR REAL
POWER CALCULATION
I
OS
× V
V
OS
× I
V
OS
× I
OS
V× I
2
0FREQUENCY (RAD/s)
05332-012
Figure 22. Effect of Channel Offset on the Real Power Calculation
The HPF in Channel V1 has an associated phase response that
is compensated for on chip. Figure 23 and Figure 24 show the
phase error between channels with the compensation network
activated. The ADE7769 is phase compensated up to 1 kHz as
shown. This ensures correct active harmonic power calculation
even at low power factors.
FREQUENCY (Hz)
0.30
PHASE (Degrees)
0.25
0.20
0.15
0.10
0.05
0
–0.05
–0.100 100 200 300 400 500 600 700 800 900 1000
05332-013
Figure 23. Phase Error Between Channels (0 Hz to 1 kHz)
ADE7769
Rev. A | Page 13 of 20
FREQUENCY (Hz)
0.30
PHASE (Degrees)
0.25
0.20
0.15
0.10
0.05
0
0.05
0.1040 45 50 55 60 65 70
05332-014
Figure 24. Phase Error Between Channels (40 Hz to 70 Hz)
Digital-to-Frequency Conversion
As previously described, the digital output of the low-pass
filter after multiplication contains the real power information.
However, because this LPF is not an ideal brick wall filter
implementation, the output signal also contains attenuated
components at the line frequency and its harmonics, that is,
cos(hωt) where h = 1, 2, 3, … and so on.
The magnitude response of the filter is given by
()
2
2
45.4
1
1
f
fH
+
= (7)
For a line frequency of 50 Hz, this gives an attenuation of
the 2ω (100 Hz) component of approximately 22 dB. The
dominating harmonic is twice the line frequency (2ω) due to
the instantaneous power calculation.
Figure 25 shows the instantaneous real power signal at the
output of the LPF that still contains a significant amount of
instantaneous power information, that is, cos(2ωt). This
signal is then passed to the digital-to-frequency converter
where it is integrated (accumulated) over time to produce an
output frequency. The accumulation of the signal suppresses or
averages out any non-dc components in the instantaneous real
power signal. The average value of a sinusoidal signal is zero.
Thus, the frequency generated by the ADE7769 is proportional
to the average real power. Figure 25 shows the digital-to-
frequency conversion for steady load conditions, that is,
constant voltage and current.
F1
F2
DIGITAL-TO-
FREQUENCY
CF
DIGITAL-TO-
FREQUENCY
MULTIPLIER
F1
TIME
CF
TIME
FREQUENCY FREQUENCY
V
I
0FREQUENCY (RAD/s)
ω2ω
COS (2ω)
ATTENUATED BY LPF
V× I
2
LPF TO EXTRACT
REAL POWER
(DC TERM)
INSTANTANEOUS REAL POWER SIGNAL
(FREQUENCY DOMAIN)
LPF
05332-015
Figure 25. Real Power-to-Frequency Conversion
In Figure 25, the frequency output, CF, varies over time, even
under steady load conditions. This frequency variation is
primarily due to the cos(2ωt) component in the instantaneous
real power signal. The output frequency on CF can be up to
2048 times higher than the frequency on F1 and F2. This higher
output frequency is generated by accumulating the instan-
taneous real power signal over a much shorter time while
converting it to a frequency. This shorter accumulation period
means less averaging of the cos(2ωt) component. Consequently,
some of this instantaneous power signal passes through the
digital-to-frequency conversion. This is not a problem in the
application. Where CF is used for calibration purposes, the
frequency should be averaged by the frequency counter, which
removes any ripple. If CF is being used to measure energy, for
example in a microprocessor based application, the CF output
should also be averaged to calculate power.
Because the F1 and F2 outputs operate at a much lower
frequency, much more averaging of the instantaneous real
power signal is carried out. The result is a greatly attenuated
sinusoidal content and a virtually ripple-free frequency output.
Connecting to a Microcontroller for Energy
Measurement
The easiest way to interface the ADE7769 to a microcontroller
is to use the CF high frequency output with the output
frequency scaling set to 2048 × F1, F2. This is done by setting
SCF = 0 and S0 = S1 = 1 (see Table 7). With full-scale ac
signals on the analog inputs, the output frequency on CF is
approximately 2.867 kHz. Figure 26 shows one scheme that
could be used to digitize the output frequency and carry out
the necessary averaging mentioned in the previous section.
ADE7769
Rev. A | Page 14 of 20
CF
TIME
±10%
FREQUENCY
RIPPLE
AVERAGE
FREQUENCY
ADE7769
COUNTER
TIMER
MCU
CF
05332-016
Figure 26. Interfacing the ADE7769 to an MCU
As shown in Figure 26, the frequency output, CF, is connected
to an MCU counter or port. This counts the number of pulses
in a given integration time, which is determined by an MCU
internal timer. The average power proportional to the average
frequency is given by
Time
Counter
PowerAverageFrequencyAverage == (8)
The energy consumed during an integration period is given by
CounterTime
Time
Counter
TimePowerAverageEnergy =×=×= (9)
For the purpose of calibration, this integration time could be
10 seconds to 20 seconds to accumulate enough pulses to
ensure correct averaging of the frequency. In normal operation,
the integration time could be reduced to 1 or 2 seconds,
depending, for example, on the required update rate of a
display. With shorter integration times on the MCU, the
amount of energy in each update may still have some small
amount of ripple, even under steady load conditions. However,
over a minute or more the measured energy has no ripple.
Power Measurement Considerations
Calculating and displaying power information always has some
associated ripple, which depends on the integration period used
in the MCU to determine average power and also on the load.
For example, at light loads, the output frequency may be 10 Hz.
With an integration period of 2 seconds, only about 20 pulses
are counted. The possibility of missing one pulse always exists,
because the ADE7769 output frequency is running asynchro-
nously to the MCU timer. This results in a 1-in-20, or 5%, error
in the power measurement.
INTERNAL OSCILLATOR (OSC)
The nominal internal oscillator frequency is 450 kHz when
used with RCLKIN, with a nominal value of 6.2 kΩ. The
frequency outputs are directly proportional to the oscillator
frequency, thus RCLKIN must have low tolerance and low
temperature drift to ensure stability and linearity of the chip.
The oscillator frequency is inversely proportional to the
RCLKIN, as shown in Figure 27. Although the internal
oscillator operates when used with RCLKIN values between
5.5 kΩ and 20 kΩ, choosing a value within the range of the
nominal value, as shown in Figure 27, is recommended.
RESISTANCE (kΩ)
5.8 5.9 6.1 6.3 6.7
FREQUENCY (kHz)
420
430
440
450
460
480
470
490
6.0 6.2 6.4 6.5 6.6
410
400
05332-017
Figure 27. Effect of RCLKIN on Internal Oscillator Frequency (OSC)
TRANSFER FUNCTION
Frequency Outputs F1 and F2
The ADE7769 calculates the product of two voltage signals
(on Channel V1 and Channel V2) and then low-pass filters this
product to extract real power information. This real power
information is then converted to a frequency. The frequency
information is output on F1 and F2 in the form of active low
pulses. The pulse rate at these outputs is relatively low, for
example, 0.175 Hz maximum for ac signals with S0 = S1 = 0
(see Table 6). This means that the frequency at these outputs is
generated from real power information accumulated over a
relatively long period of time. The result is an output frequency
that is proportional to the average real power. The averaging of
the real power signal is implicit to the digital-to-frequency
conversion. The output frequency or pulse rate is related to the
input voltage signals by the following equation:
2
75.494
REF
41
rmsrms
V
FV2V1
Freq
×
×
×
= (10)
where:
Freq is the output frequency on F1 and F2 (Hz).
V1rms is the differential rms voltage signal on Channel V1 (V).
V2rms is the differential rms voltage signal on Channel V2 (V).
VREF = is the reference voltage (2.45 V ± 200 mV) (V).
F1–4 = are one of four possible frequencies selected by using
the S0 and S1logic inputs (see Table 5).
ADE7769
Rev. A | Page 15 of 20
Table 5. F1–4 Frequency Selection
S1 S0 OSC Relation1F1–4 at Nominal OSC (Hz)2
0 0 OSC/219 0.86
0 1 OSC/218 1.72
1 0 OSC/217 3.43
1 1 OSC/216 6.86
1 F1–4 is a binary fraction of the internal oscillator frequency.
2 Values are generated using the nominal frequency of 450 kHz.
Example
In this example, with ac voltages of ±30 mV peak applied to
V1 and ±165 mV peak applied to V2, the expected output
frequency is calculated as
F1–4 = OSC/219 Hz, S0 = S1 = 0
V1rms = 0.03/√2 V
V2rms = 0.165/√2 V
VREF = 2.45 V (nominal reference value)
If the on-chip reference is used, actual output frequencies
may vary from device to device due to the reference tolerance
of ±200 mV.
175.0204.0
45.222
165.003.075.494
2=×=
××
×××
=1
1F
F
Freq (11)
Table 6. Maximum Output Frequency on F1 and F2
S1 S0 OSC Relation Max Frequency1 or AC Inputs (Hz)
0 0 0.204 × F1 0.175
0 1 0.204 × F2 0.35
1 0 0.204 × F3 0.70
1 1 0.204 × F4 1.40
1 Values are generated using the nominal frequency of 450 kHz.
Frequency Output CF
The pulse output CF (calibration frequency) is intended for
calibration purposes. The output pulse rate on CF can be up to
2048 times the pulse rate on F1 and F2. The lower the F1–4
frequency selected, the higher the CF scaling (except for the
high frequency mode SCF = 0, S1 = S0 = 1). Table 7 shows how
the two frequencies are related, depending on the states of the
logic inputs S0, S1, and SCF. Due to its relatively high pulse
rate, the frequency at the CF logic output is proportional to the
instantaneous real power. As with F1 and F2, CF is derived
from the output of the low-pass filter after multiplication.
However, because the output frequency is high, this real
power information is accumulated over a much shorter time.
Therefore, less averaging is carried out in the digital-to-
frequency conversion. With much less averaging of the real
power signal, the CF output is much more responsive to power
fluctuations (see the signal processing block diagram shown in
Figure 15).
Table 7. Maximum Output Frequency on CF
SCF S1 S0 CF Max for AC Signals (Hz)1
1 0 0 128 × F1, F2 = 22.4
0 0 0 64 × F1, F2 = 11.2
1 0 1 64 × F1, F2 = 22.4
0 0 1 32 × F1, F2 = 11.2
1 1 0 32 × F1, F2 = 22.4
0 1 0 16 × F1, F2 = 11.2
1 1 1 16 × F1, F2 = 22.4
0 1 1 2048 × F1, F2 = 2.867 kHz
1 Values are generated using the nominal frequency of 450 kHz.
SELECTING A FREQUENCY FOR AN ENERGY
METER APPLICATION
As shown in Table 5, the user can select one of four frequencies.
This frequency selection determines the maximum frequency
on F1 and F2. These outputs are intended for driving an energy
register (electromechanical or other). Because only four
different output frequencies can be selected, the available
frequency selection has been optimized for a meter constant
of 100 imp/kWh with a maximum current of between 10 A
and 120 A. Table 8 shows the output frequency for several
maximum currents (IMAX) with a line voltage of 220 V. In all
cases, the meter constant is 100 imp/kWh.
Table 8. F1 and F2 Frequency at 100 imp/kWh
IMAX (A) F1 and F2 (Hz)
12.5 0.076
25.0 0.153
40.0 0.244
60.0 0.367
80.0 0.489
120.0 0.733
The F1–4 frequencies allow complete coverage of this range of
output frequencies (F1, F2). When designing an energy meter,
the nominal design voltage on Channel V2 (voltage) should be
set to half-scale to allow for calibration of the meter constant.
The current channel should also be no more than half scale
when the meter sees maximum load. This allows overcurrent
signals and signals with high crest factors to be accommodated.
Table 9 shows the output frequency on F1 and F2 when both
analog inputs are half scale. The frequencies in Table 9 align
very well with those in Table 8 for maximum load.
Table 9. F1 and F2 Frequency with Half-Scale AC Inputs
S1 S0 F1–4 (Hz)
Frequency on F1 and F2—
CH1 and CH2 Half-Scale AC Input1
0 0 0.86 0.051 × F1 0.044 Hz
0 1 1.72 0.051 × F2 0.088 Hz
1 0 3.43 0.051 × F3 0.176 Hz
1 1 6.86 0.051 × F4 0.352 Hz
1 Values are generated using the nominal frequency of 450 kHz.
ADE7769
Rev. A | Page 16 of 20
When selecting a suitable F1–4 frequency for a meter design, the
frequency output at IMAX (maximum load) with a meter constant
of 100 imp/kWh should be compared with Column 4 of Table 9.
The closest frequency in Table 9 determines the best choice of
frequency (F1–4). For example, if a meter with a maximum
current of 25 A is being designed, the output frequency on F1
and F2 with a meter constant of 100 imp/kWh is 0.153 Hz at 25
A and 220 V (from Table 8). In Table 9 the closest frequency to
0.153 Hz in Column 4 is 0.176 Hz. Therefore, as shown in Tabl e
5, F3 (3.43 Hz) is selected for this design.
Frequency Outputs
Figure 2 shows a timing diagram for the various frequency
outputs. The F1 and F2 outputs are the low frequency
outputs that can be used to directly drive a stepper motor or
electromechanical impulse counter. The F1 and F2 outputs
provide two alternating low frequency pulses. The F1 and F2
pulse widths (t1) are set such that if they fall below 240 ms
(0.24 Hz), they are set to half of their period. The maximum
output frequencies for F1 and F2 are shown in Table 6.
The high frequency CF output is intended to be used for
communications and calibration purposes. CF produces a
90-ms-wide active high pulse (t4) at a frequency proportional to
active power. The CF output frequencies are given in Table 7.
As with F1 and F2, if the period of CF (t5) falls below 180 ms,
the CF pulse width is set to half the period. For example, if the
CF frequency is 20 Hz, the CF pulse width is 25 ms.
When high frequency mode is selected (that is, SCF = 0,
S1 = S0 = 1), the CF pulse width is fixed at 35 μs. Therefore,
t4 is always 35 μs, regardless of output frequency on CF.
NO-LOAD THRESHOLD
The ADE7769 includes a no-load threshold and start-up
current feature, which eliminates any creep effects in the meter.
The ADE7769 is designed to issue a minimum output
frequency. Any load generating a frequency lower than this
minimum frequency does not cause a pulse to be issued on F1
or F2. The minimum output frequency is given as 0.00244% for
each of the F1–4 frequency selections (see Table 5).
For example, for an energy meter with a meter constant of
100 imp/kWh on F1, F2 using F3 (3.43 Hz), the minimum
output frequency at F1 or F2 would be 0.00244% of 3.43 Hz or
8.38 × 10–5 Hz. This would be 2.68 × 10–3 Hz at CF (32 × F1 Hz)
when SCF = S0 = 1, S1 = 0. In this example, the no-load
threshold would be equivalent to 3 W of load or a start-up
current of 13.72 mA at 220 V. Compare this value to the
IEC62053-21 specification which states that the meter must
start up with a load equal to or less than 0.4% Ib. For a 5 A (Ib)
meter, 0.4% of Ib is equivalent to 20 mA.
The no-load condition is indicated with CF output pulse
remaining logic high, as shown in Figure 28.
CF
0W
NO-LOAD
THRESHOLD
MAGNITUDE
TIME
ACTIVE POWER
CF FREQUENCY PROPORTIONAL TO POWER
05332-028
Figure 28. No-Load Indication Using ADE7769
NEGATIVE POWER INFORMATION
The ADE7769 detects when the current and voltage channels
have a phase shift greater than 90°. This mechanism can detect
an incorrect meter connection or the generation of negative
power. The REVP pin output goes active high when negative
power is detected and active low if positive power is detected.
The REVP pin output changes state as a pulse is issued on CF.
EVALUATION BOARD AND REFERENCE DESIGN
BOARD
An evaluation board can be used to verify the functionality and
the performance of the ADE7769. Download the documenta-
tion for the board from http://www.analog.com/ADE7769.
In addition, the reference design board ADE7769ARN-REF
and Application Note AN-679 can be used in the design
of a low cost watt-hour meter that surpasses IEC62053-21
accuracy specifications. The application note can be
downloaded from http://www.analog.com/ADE7769.
ADE7769
Rev. A | Page 17 of 20
OUTLINE DIMENSIONS
CONTROLLING DIMENSIONS ARE IN MILLIMETERS; INCH DIMENSIONS
(IN PARENTHESES) ARE ROUNDED-OFF MILLIMETER EQUIVALENTS FOR
REFERENCE ONLY AND ARE NOT APPROPRIATE FOR USE IN DESIGN
COMPLIANT TO JEDEC STANDARDS MS-012-AC
16 9
8
1
4.00 (0.1575)
3.80 (0.1496)
10.00 (0.3937)
9.80 (0.3858)
1.27 (0.0500)
BSC
6.20 (0.2441)
5.80 (0.2283)
SEATING
PLANE
0.25 (0.0098)
0.10 (0.0039)
0.51 (0.0201)
0.31 (0.0122)
1.75 (0.0689)
1.35 (0.0531)
0.50 (0.0197)
0.25 (0.0098)
1.27 (0.0500)
0.40 (0.0157)
0.25 (0.0098)
0.17 (0.0067)
COPLANARITY
0.10
× 45°
Figure 29. 16-Lead Standard Small Outline Package [SOIC_N]
Narrow Body (R-16)
Dimensions shown in millimeters and (inches)
ORDERING GUIDE
Model Temperature Range Package Description Package Option
ADE7769AR −40°C to +85°C 16-Lead Standard Small Outline Package [SOIC_N] R-16
ADE7769AR-RL −40°C to +85°C 16-Lead Standard Small Outline Package [SOIC_N] REEL R-16
ADE7769ARZ1−40°C to +85°C 16-Lead Standard Small Outline Package [SOIC_N] R-16
ADE7769ARZ-RL1 −40°C to +85°C 16-Lead Standard Small Outline Package [SOIC_N] REEL R-16
EVAL-ADE7769EB Evaluation Board
ADE7769AR-REF Reference Design Board
1 Z = Pb-free part.
ADE7769
Rev. A | Page 18 of 20
NOTES
ADE7769
Rev. A | Page 19 of 20
NOTES
ADE7769
Rev. A | Page 20 of 20
NOTES
© 2005 Analog Devices, Inc. All rights reserved. Trademarks and
registered trademarks are the property of their respective owners.
D05332–0–8/05(A)