STMicroelectronics AN2299 Fast digital calibration procedure Datasheet

AN2299
Application Note
Fast digital calibration procedure
for STPM01 based energy meters
Introduction
This document describes the fast digital calibration procedure enabled by STPM01 in solid
state energy meters.
Based on energy meter measurements the customer gets a bill and has to pay for energy
consumption. It is in the interest of the customer and the electricity company that the meter,
which counts the energy consumption, is working properly and accurately.
The quality control of the meters therefore is highly important, since the main requirements
that a meter needs to fulfill are accuracy, cost, manufacturability and reliability. This explains
the trend of moving from traditional mechanical solutions to solid state ones (electronic
meters). Electronic meters allow high accuracy over a wide current dynamic range, low
power consumption, reliability, robustness and gearless. They do not require precision
mechanics and easily enable new functionalities (AMR: automatic meter reading, multi tariff
billing, tamper proofing, prepayment meters, load shedding, power outage detection…).
Special care must be dedicated to the calibration procedure, because it impacts directly on
many key features of the meter, such as accuracy, cost, manufacturability and reliability.
Due to its internal structure and features, STPM01 allows a more effective and innovative
calibration procedure, which will be explained in this document.
Advantages of this procedure are:
January 2006
●
reduced calibration time
●
no need for re-calibration (calibration parameter can be written in a permanent way)
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www.st.com
Contents
AN2299
Contents
1
2
3
Calibration principles and underlying theory . . . . . . . . . . . . . . . . . . . . . 5
1.1
Measuring principle of a digital energy measurement system . . . . . . . . . . 5
1.2
Basic definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
1.3
Accuracy and stability influence factors . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
An innovative STPM01 approach to calibrate the energy meter: fast
digital calibration 9
2.1
Digital calibration procedure: traditional approach . . . . . . . . . . . . . . . . . . . 9
2.2
Fast Digital calibration procedure: new approach . . . . . . . . . . . . . . . . . . 10
Fast digital calibration procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
3.1
System description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11
3.2
Calibration flow chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
3.3
Calibration procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
3.4
4
3.3.1
Working point setting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
3.3.2
Algorithm choice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
3.3.3
Offline parameters calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
3.3.4
Online Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
3.3.5
Coherency check . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
Two current channels calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
Phase calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
4.1
Phase error definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
4.2
Phase error compensation in STPM01 based energy meters . . . . . . . . . 20
5
RC calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
6
Temperature calibration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
6.1
APPENDIX A - Traditional calibration approach . . . . . . . . . . . . . . . . . . . 22
6.1.1
7
2/26
Working point setting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Revision history . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
Rev2
AN2299
Figures
Figures
Figure 1.
Figure 2.
Figure 3.
Figure 4.
Figure 5.
Principle of a digital power and energy measurement system . . . . . . . . . . . . . . . . . . . . . . . 5
Meter calibration set-up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Fast digital calibration system. The equipments marked by (*) are optional. . . . . . . . . . . . 11
Calibration flow chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Influence of phase angle errors in power measurement. . . . . . . . . . . . . . . . . . . . . . . . . . . 19
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Tables
AN2299
Tables
Table 1.
Table 2.
Table 3.
Table 4.
Table 5.
4/26
Calibration equipment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Optional calibration equipment . . . . . . . . . . . . . . . . . . . . . . .
Metering constants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Error tolerance vs. power factor . . . . . . . . . . . . . . . . . . . . . .
Document revision history . . . . . . . . . . . . . . . . . . . . . . . . . .
Rev2
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AN2299
Calibration principles and underlying theory
1
Calibration principles and underlying theory
1.1
Measuring principle of a digital energy measurement system
Modern digital energy measuring systems, such as STPM01, are usually constituted by an
analog section with high-resolution Analog/Digital converters (ADCs) and a digital section
with powerful Digital Signal Processors (DSPs) to perform the measurement of power and
energy together with a variety of secondary parameters. The main scheme of such a system
is indicated in Figure 1.
Figure 1.
Principle of a digital power and energy measurement system
ANALOG SECTION
Digital S ignal P rocessing
U(ϕU)
u(t)
UDC
i(t)
I(ϕI)
U’(ϕU’)
UREF
T
Reference
voltage
Time
base
Current path
δI
Sample
un’
Correction
U, I, f, ∠
εU, δU
Sample
un
P=
1 N
∑u ⋅i
N n=1 n n
Sample
in
I’(ϕI’)
Sample
in’
Correction
εI, δI
f∼P
P, Q, S, PF
EEPROM
Correction εU, δU, εI, δI
The analog section consists of voltage and current paths for each phase, and a common
area with system DC reference voltage and the system time base.
Voltage and current paths include the following blocks:
●
sensors for voltage and current
●
signal conditioning (to optimize signals to match the required input level of the ADC)
●
ADC
Common section consists of the following elements:
●
system DC reference voltage
●
system time base, provided by a quartz crystal oscillator or by an internal RC oscillator
The reference voltages and sample clocks used for the different ADC in the voltage and
current paths are synchronized to these basic quantities.
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Calibration principles and underlying theory
AN2299
The digital section consists of a DSP providing real time calculation based on the samples
to carry out power, energy and all other parameters through standard mathematical
formulas.
The A/D converters collect samples of phase current and phase to neutral voltage
synchronized to the sample clock. Sample clock and reference voltages of the A/D
converters are based on two fundamental quantities for amplitude and time, namely a DC
reference voltage and a time base.
Outputs of the analog section are samples of voltage and current in digital form with an
exact time relationship to each other.
The measured samples are corrected for amplitude and phase angle errors. The correction
algorithm is defined during manufacture and is hardwired in DSP, while the correction
parameters are calculated during the calibration phase and are stored in non-volatile
memory (antifuse OTP cells).
Active energy and all other parameters are calculated in real time through standard
mathematical formulas from the same set of corrected samples, and are stored in 32-bits
registers, from which impulses are generated, with frequency proportional to measured
power.
The following basic definition and formulas for power with amplitude and phase angle errors
are derived from the scheme reported in Figure 1.
1.2
Basic definition
●
Active Power
P = U • I • cos Φ
●
Eq. 1
Apparent Power
S = U•I
●
Reactive Power
Q =
●
Eq. 2
2
2
S – P = U • I • sin Φ
Eq. 3
Power factor PF
P
PF = cos Φ = ---S
Eq. 4
where:
U, I effective values of voltage and current;
φ current to voltage phase angle φ= ϕ U-ϕ I;
ϕU,ϕI voltage and current to common reference phase angles.
●
Measured value of active power
P' = U' • I' • cos φ' = U' • I' • cos ( ϕU' – ϕI' )
where:
6/26
Rev2
Eq. 5
AN2299
Calibration principles and underlying theory
P‘ measured active power;
U‘=U(1+εU);
I‘=I(1+εI);
ϕU`=ϕU+δU;
ϕI`=ϕI+δI;
φ`=ϕ U`-ϕI`=ϕU-ϕI+δU-δI=φ+δ
εU voltage amplitude error;
εI current amplitude error;
δ current to voltage phase angle error δ=δU-δI;
δU voltage phase angle error;
δI current phase angle error.
Then, negleting the term εU*εI:
P' = U • I • ( 1 + ε U + ε I ) • cos ( φ + δ )
1.3
Eq. 6
Accuracy and stability influence factors
Even in a digital measuring system, all components which have any influence on the system
accuracy and stability are located in the input analog section.
Generally, there are only a limited number of internal components which determine the
accuracy characteristics of the system:
●
voltage and current sensors
●
signal conditioning section
●
oscillator frequency
●
internal reference voltage source
●
analog to digital converters' gain
The components used must be of highest quality to reach the desired stability and linearity.
The circuit must be carefully designed to minimize any influences on these components
which could degrade short time repeatability, linearity or immunity.
Also external influences can affect the meter accuracy, such as:
●
capacitive and inductive coupling to the inputs and between the phases (cross talking1)
●
influences of high frequency electrical and magnetic fields (EMC)
●
common mode voltage between inputs and to earth
●
influence of low frequency magnetic fields
●
measuring setup (wiring, earth connection ground loop)
●
influence of source (stability of U, I, φ, signal quality)
●
long-time drift
●
humidity
Unwanted external influences must be minimized. This can be achieved by careful shielding
of the analog part or by compensating for the influences in hardware or software.
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Calibration principles and underlying theory
AN2299
If the system is not immune to the external influences, it can only be operated under very
special conditions and the results are impossible to reproduce in other locations, where
there may be a different measuring set-up. Also short time repeatability due to noise and the
resulting statistical effects will be bigger.
The external influences on total system accuracy can be as big as or even bigger than the
basic specified error.
Note:
8/26
Please note that the voltage front end handles voltages of considerable amplitude, which
makes it a potential source of noise. Disturbances are readily emitted into current
measurement circuitry, where it will interfere with the actual signal to be measured.
Typically, this shows as a non-linear error at small signal amplitudes and non-unity power
factors. At unity power factor, voltage and current signals are in phase and crosstalk
between voltage and current channels merely appears as a gain error, which can be
calibrated. When voltage and current are not in phase, crosstalk will have a non-linear effect
on the measurements, which cannot be calibrated. Crosstalk is minimized by means of good
PCB planning and the proper use of filter components.
Rev2
AN2299
An innovative STPM01 approach to calibrate the energy meter: fast digital calibration
2
An innovative STPM01 approach to calibrate the
energy meter: fast digital calibration
The calibration procedure is a key feature among the main meter requirements. In fact, it
impacts directly on accuracy, cost, manufacturability and reliability of the meter.
After the final assembly phase, an energy meter requires a calibration procedure due to
unknown sensitivities of its following blocks:
●
built-in voltage and current sensors
●
oscillator frequency
●
internal reference voltage source
●
analog to digital converters' gain
assuming that the above listed values will not significantly change with environment
temperatures changes and/or by aging.
2.1
Digital calibration procedure: traditional approach
The frequency of the output pulse signal is proportional to active energy.
As shown in Figure 2., the error on the frequency is weighed up by the following
equipments:
●
Precision current and voltage source (Gen)
●
High class precision energy meter (EMp)
●
Meter under calibration (EM)
Figure 2.
Meter calibration set-up
Current and voltage
source
Meter under calibration
High class precision
energy meter
Gen equipment generates the line signals at the same frequency and well known phase
between them. EMp and EM equipments measure the same line signals, but EMp computes
the error by comparing those readings (energy, voltage and current RMS) with the
measured frequency of the EM output pulse signal.
The resulting error has to be minimized acting on some design parameters, known as
calibrators.
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An innovative STPM01 approach to calibrate the energy meter: fast digital calibration
AN2299
This traditional power calibration procedure for STPM01 based meters is described in detail
in Appendix A.
2.2
Fast Digital calibration procedure: new approach
Energy meters based on STPM01 ASSP device allow a different kind of calibration due to
the following important facts:
●
The device is compound of two independent meter channels for line voltage and
current respectively. Each channel includes its own 8 bits digital calibrator to adjust the
signal amplitude, and digital filter to remove any signal DC component.
●
The device computes RMS values of measured voltage and current, and from such
corrected signals it calculates all different kind of energies (active, reactive, apparent
and active energy of the 1st harmonic) through mathematical modules which are
implemented with hardwired digital structures and therefore, are not objects of
calibration.
●
The device produces an output pulse signal but information can also be read through
Serial Port Interface, SPI, communication channel.
●
The device has an embedded memory, 56 bits, used for configuration and calibration
purposes. The value of these bits can be read or they can be changed temporarily or
permanently through SPI communication channel.
According to what pointed out above, it is possible to calibrate STPM01 based energy
meters by calibration of voltage and current channels rather than of output pulse signal
frequency. Since any energy measure performed by the device (active wide band and active
fundamental, reactive or apparent) is calculated digitally (without error) from current and
voltage calibrated signals, it means that every measure is automatically calibrated if current
and voltage channels are calibrated. Calibration of both channels is performed in such way
to achieve also the target value of power sensitivity constant of meter.
For the calibration procedure described above, it could even be possible to use two
independent line signal generators, because to a certain extent line frequency and phase
between line signals are not of high significance, observing RMS values.
Even more, if the line generator used is precise and stable enough, theoretically, it is
not necessary to have any additional precision energy meter (EMp) to perform the
calibration because only signal amplitudes (voltage and current RMS value) are
calibrated and any DC offset is rejected, thanks to the almost ideal linearity of
STPM01. Meter calibration is achieved by calibrating the device at just one measuring
point (fast digital calibration), most often at nominal values, let's say, 230 VRMS, 5 ARMS,
50Hz.
This may simplify the generation of reference line signals of accurate output values. If
accuracy is not guaranteed, the reference values of line signals for a calibration system can
be obtained by precision RMS meters.
Calibrating only voltage and current in a single operating point led to a very short (4-5 sec. in
an automated environment) calibration time.
If an application uses both current channels, they must both be compensated with the same
procedure. This cannot be done at the same time, due to multiplexed implementation of two
channels. In this case calibration time is increased (see paragraph "Two current channels
calibration").
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Rev2
AN2299
3
Fast digital calibration procedure
Fast digital calibration procedure
The following paragraphs describe the important items of fast digital calibration procedure.
3.1
System description
The fast digital calibration system is composed by the following parts:
Table 1.
Calibration equipment
Item
Description
CPC
Calibration Process Controller
Interface
serial communication to energy meter under calibration
EM
energy meter under calibration
Gen
line voltage and current reference generators
While the following parts are optional:
Table 2.
Optional calibration equipment
Item
Description
M1, M2
line voltage and current RMS meters
EMp
precision energy meter
Figure 3.
Fast digital calibration system. The equipments marked by (*) are optional
Often the Calibration Process Controller (CPC) is implemented with a Personal Computer
(PC) which runs calibration software. The PC should have enough RS232C ports in order to
communicate with other calibration system units.
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Fast digital calibration procedure
AN2299
The first interface port should be dedicated to communication with the energy meter under
calibration (EM).
If EM does not have some Automatic Meter Reading (AMR) capability, a SPI to RS232C
interface must be located between CPC and EM.
There are some RS232C ports that could be optional in the following conditions:
3.2
●
if only calibration is required, the EMp and "precision" port can be omitted but Ip current
path must not be broken,
●
if Gen unit is accurate enough (< ±0.05%), the RMS meters M1 and M2 and
corresponding "VRMS" and "IRMS" ports can be omitted.
Calibration flow chart
The calibration procedure can be summarized in the following steps, which will be
examinated in section 3.3:
Figure 4.
Calibration flow chart
1. Working point setting
2. Algorithm choice
3. Offline parameters calculations
4. Online procedure
5. Coherency check
12/26
Rev2
AN2299
Fast digital calibration procedure
3.3
Calibration procedure
3.3.1
Working point setting
According to what pointed out previously, the device can be calibrated in a single point.
Thus, voltage and current nominal values must be defined before running the calibration
procedure, for example:
●
Line RMS voltage:
–
●
Vn=230V
Line RMS current:
–
In=5A
The following other parameters and constants of STPM01 (and relative tolerances) are also
known:
Table 3.
Metering constants
Parameter
Value
Tolerance
Internal reference voltage
VBG
1.23V
±2%
Internal Calculation Frequency
fM
223HZ
±50 ppm
Amplification of voltage ADC
AV
4
±1%
Amplification of current ADC
AI
8, 16, 24, 32
±2%
Gain of differentiator
GDIF
0,6135
Gain of integrator
GINT
0,815
Gain of decimation filter
GDF
1.004
RMS Voltage register length
BV
211
RMS Current register length
BI
216
Constant
DUD
217
As shown in Table 3., only analog parameters are object of calibration because they
introduce a certain error. Voltage ADC amplification Av is constant, while Ai is chosen
according to used sensors.
The calibration procedure has as final result the correction parameters, called Kv and Ki,
which applied to STPM01 voltage and current measures compensate small tolerances of
analog components that affect energy calculation.
Since Kv and Ki calibration parameters are the decimal representation of the corresponding
configuration bytes CHV and CHP or CHS1 (respectively voltage channel, primary current
channel and secondary current channel calibration bytes), at the end of calibration CHV and
CHP or CHS (according to the current channel under calibration, primary or secondary
respectively) bits values are obtained.
In the following procedure CHV, CHP and CHS will be indicated as Cv and Ci.
Note:
For more info see paragraph "Two current channels calibration".
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Fast digital calibration procedure
AN2299
Through hardwired formulas, Kv and Ki tune measured values varying from 0,75 to 1 in 256
steps, according to the value of Cv and Ci (from 0 to 255).
To obtain the greatest correction dynamic, calibrators are initially set in the middle of the
range, thus obtaining a calibration range of ±12.5% per voltage or current channel:
●
Calibrators' value
–
Kv = Ki = 0.875
–
Ci = Cv = 128
In this way it is possible to tune Kv and Ki having a precise measurement: for example Cv=0
generates a correction factor of -12.5% (Kv=0.75) and Cv=255 determines a correction
factor of +12.5% (Kv=1), and so on.
According to what pointed out above, the following formulas, which relate Kv,i and Cv,i are
obtained:
Cv, i
Eq.7
Kv, i = ------------ • 0.125 + 0.75
128
Cv ,i = 1024 • Kv ,i – 768
Eq.8
Indicating with IA and VA average values and with XI and XV ideal values of RMS current
and voltage readings (as calculated in the next steps), from what explained the following
can be written:
3.3.2
Kv • VA
X V = ------------------0.875
Eq.9
Ki • I
X I = ---------------A0.875
Eq.10
Algorithm choice
It is possible to use two different algorithms to calculate the parameters to be used during
the calibration:
1. R1 and R2 constants in order to carry out the sensor sensitivity KS;
2. Current sensor sensitivity and R2 constants in order to carry out R1.
The methods are equivalent. The choice is left to the designer.
According to the algorithm chosen, the next calibration step will produce the value of sensor
KS or resistor R1 to be mounted in the measure board to achieve calibration.
Algorithms formulas are reported below for both current transformer/shunt and Rogowski
coil current sensors.
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AN2299
3.3.3
Fast digital calibration procedure
Offline parameters calculations
First of all it is necessary to determine target power sensitivity to achieve with the calibration
process:
●
Power sensitivity (LED):
–
P=128000 pulses/kWh
From which:
●
Power sensitivity (Stepper Motor)
–
PM=P/64=2000 pulses/kWh
The calibration procedure will output Cv and Ci values that will allow the above power
sensitivity of the meter.
This sensitivity is used to calculate target frequency at the LED pin for nominal voltage and
current values:
X F = f • 64
Eq.11
PM • In • Vn
f = --------------------------------3600000
Eq.12
where:
●
Current transformer or Shunt - Constant R1
In this algorithm, voltage divider sensitivity is fixed, thus resistor values R1 and R2 are
known, for example:
–
Resistor R1=R1
–
Resistor R2=R2
From values above and for both given amplification factor AI and initial calibration data, the
following target values can be calculated:
Voltage divider output:
R2
V DI V = Vn • --------------------------( R1 + R2 )
Eq.13
Target RMS reading for given Vn:
V DIV
X V =  ----------- • 2 • G DIF • A V • K V • G DF • GINT • B V
V

BG
Eq. 14
Target RMS reading for given In:
f • B V • B I • D UD
X I = -----------------------------------------fM • X V
Eq. 15
From which current sensor sensitivity KS is obtained:
X I • V BG • 1000
K S = ------------------------------------------------------------------------------------------- [mV/A]
In • A I • Ki • G DF • G INT • G DI F • B I
●
Eq. 16
Current transformer or Shunt - Constant K s
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Fast digital calibration procedure
AN2299
In this case the type of current sensor and its nominal value of sensitivity must be known, for
example:
–
Shunt sensor=KS
From values above and for both given amplification factor AI and initial calibration data, the
following target values can be calculated:
Target RMS reading for given In:
In • K S • A I • Ki • G IN T • G D F • G D IF • B I
X I = ------------------------------------------------------------------------------------------------------V BG • 1000
Eq. 17
Target RMS reading for given Vn:
f • B V • B I • D UD
X V = ----------------------------------------fM • XI
Eq. 18
X V • V BG
V D IV = ---------------------------------------------------------------------------------------------2 • G D IF • A V • Kv • G DF • G INT • B V
Eq. 19
Voltage divider output:
From which R1 resistor value is obtained:
Vn – V DI V
R1 = R2 • -----------------------V DIV
●
[Ω]
Eq. 20
Rogowski coil - Constant R1
As previously mentioned, voltage divider sensitivity is fixed, thus resistor values R1 and R2
are known, for example:
–
Resistor R1=R1
–
Resistor R2=R2
From values above and for both given amplification factor AI and initial calibration data, the
following target values can be calculated:
Voltage divider output:
R2
V D IV = V n • --------------------R1 + R 2
Eq. 21
V DIV
X V = ------------ • A V • Kv • G DF • B V
V BG
Eq. 22
Target RMS reading for given Vn:
Target RMS reading for given In:
f • B V • B I • D UD
X = ----------------------------------------I
fM • X V
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Eq. 23
AN2299
Fast digital calibration procedure
From which current sensor sensitivity KS is obtained:
X I • V BG • 1000
K S = ------------------------------------------------------------------------- [mV/A]
In • A I • Ki • G D F • G I NT • B I
●
Eq. 24
Rogowski coil - Constant Ks
Sensor nominal value of sensitivity again must be known, for example:
–
Rogowski coil=KS
From values above and for both given amplification factor AI and initial calibration data, the
following target values can be calculated:
Target RMS reading for given In:
In • K S • A I • Ki • G IN T • G D F • B I
X I = -------------------------------------------------------------------------------------V BG • 1000
Eq. 25
Target RMS reading for given Vn:
f • B V • B I • D UD
X V = -----------------------------------------fM • XI
Eq. 26
X V • V BG
V DI V = -----------------------------------------------A V • Kv • G DF • B V
Eq. 27
Voltage divider output:
From which R1 resistor value is obtained:
Vn – V
DI V
R1 = R2 • ---------------------- [Ω]
V DIV
3.3.4
Eq. 28
Online Procedure
According to the used current sensor and the chosen algorithm, a component (resistor or
current sensor) of the value calculated through Eq. 16, Eq. 20, Eq. 24 or Eq. 28 respectively
must be mounted on the board.
To start online calibration procedure, the following has to be verified:
●
EM is connected into the calibration system and it is properly configured according to
the chosen application
●
EM calibrators parameters are preset to initial data
●
Target values of line signals are stable
When the system is connected and powered on, a certain number of readings of RMS
values must be performed.
Due to the fact that 0.4% of ripple is present in the measured RMS values, more than ten
readings of these values should be gathered each cycle (20ms at 50Hz) and average values
of RMS current and voltage readings IA and VA should be computed. Consequently, from
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Fast digital calibration procedure
AN2299
Eq. 8, Eq. 9 and Eq. 10 a pair of final 8-bits calibration data can be calculated as shown
below:
Xi
IA
Ci = 896 • ----- – 768
Xv
VA
Cv = 896 • ------ – 768
Eq. 29
Eq. 30
where XV and XI are those calculated in one of the four previous cases.
3.3.5
Coherency check
One assumes that the EM works correctly and that built-in voltage and current sensors allow
the target power sensitivity constant to be achieved, because the correction parameters Ki
and Kv can tune measured values within the calibration range of ±12.5% per voltage or
current channel.
If after the calibration, calculated values for Cv or Ci are out of range (less than 0 or more
than 255), it could mean that the application cannot reach the target value of power
sensitivity. In this case, steps 3 and 4 have to be repeated choosing a smaller power
sensitivity value. If the values of Cv or Ci are out of range even for small values of PM it
could mean that the energy meter board is not good enough to perform such
measurements, maybe because the tolerance of the components is too big, or no care has
been taken in the layout phase, so the application has to be re-designed.
Otherwise, if calibrators values are written into STPM01, the average RMS readings will be
very close to target values XI and XV and the frequency of LED output will be very close to
target value f.
3.4
Two current channels calibration
If the meter uses two current sensors, calibration procedure must be repeated twice, one for
each current channel calibration.
Steps 1 to 3 of fast digital calibration procedure (working point setting, algorithm choice and
calculation of offline parameters) must be followed as explained before and they are
common for both channels.
Before running the online procedure, configuration bit 7 must be cleared (PST2 = 0) to
disable tamper function, then calibration is split for the two channels:
●
Primary channel calibration: mode signal CSEL must be cleared to select primary
channel, then step 4 and 5 (online measure and coherency check) must be executed. If
Cv and Ci are valid values they can be written in bytes CHV and CHP.
●
Secondary channel calibration: mode signal CSEL must be set to select secondary
channel, then step 4 and 5 (online measure and coherency check) must be executed.
This time only Ci, if valid, should be written in byte CHS.
For more info see STPM01 datasheet, "Configuration bytes" paragraph.
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Rev2
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Phase calibration
4
Phase calibration
4.1
Phase error definition
STPM01 does not introduce any phase shift between voltage and current channel.
However, voltage and current signals come from transducers, which could have inherent
phase errors. Phase shift is usually introduced by the current sensor, since the voltage
sensor, normally a resistor divider, does not introduce any delay. For example, a phase error
of 0.1° to 0.3° is not uncommon for a current transformer (CT). These phase errors can vary
from part to part, and they must be corrected in order to perform accurate power
calculations.
At phase angle current to voltage φ= 0° (power factor PF = 1) the amplitude errors of
voltages and currents determine the actual accuracy of the instrument.
In this case there is no phase shift between voltage and current and Eq. 1 becomes:
P = U•I
Eq. 31
This is the target measured power to reach with calibration.
At phase angles other than zero, e.g. ±60° (PF = 0.5) the phase angle errors between
voltages and currents of each phase also affect the actual accuracy in addition to the
amplitude errors described above.
Let us assume that voltage and current RMS values are already calibrated, so they do not
introduce any error in measured power.
P = U • I cos φ
real active power;
P' = U • I cos ( φ + δ )
Figure 5.
measured active power;
Influence of phase angle errors in power measurement
P‘=cos(φ−δ)
P =cosφ
P‘=cos(φ+δ)
φ[°]
Formula for the relative error of power can be expressed as:
P'
cos ( Φ + δ )
e = ----- – 1 • 100 = ----------------------------- – 1 • 100 [%]
P
cos φ
Rev2
Eq. 32
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Phase calibration
AN2299
The relative error on power depends on phase angle φ and phase angle error δ, and it
shows a symmetrical behavior regarding positive and negative phase angles (eg. +60° and
-60°). The influence of δ is small at cosφ = 1, but becomes very big at small cosφ values.
This additional contribution to the total error from the phase angle error is usually referred to
as "related to apparent power" and can be expressed as follows:
e PF = 1
S
Eq. 33
e = ePF = 1 • ---- = ---------------P
PF
As shown in Eq. 32 errors associated with phase mismatch are particularly noticeable at low
power factors, e.g. with a specified error for power of ±0.01% the error tolerance for typical
power factors will be:
Table 4.
Error tolerance vs. power factor
PF
4.2
E[%]
1
±0.01%
0.5
±0.02%
0.25
±0.04%
Phase error compensation in STPM01 based energy meters
A good Rogowski coil or Shunt would normally have a phase error small enough that there
is no need for phase compensation. This also valid for the type of CT which are built on the
ST measurement modules.
Otherwise, if the sensor is not very accurate also phase compensation needs to be
performed. Since this process increases calibration time of at least 3 times more, it is
advisable to find the best compensation value for a certain type of current sensor and then
use such value for compensation of all modules.
STPM01 provides a means of digitally calibrating small phase errors. Calibration is obtained
by introducing delays on voltage or current signal. The extent of phase compensation can
be set using the 4 bits of the phase calibration register (CPH).
The default value of this register is 0, which gives 0° phase compensation. When the 4 bits
are set (CPH = 15) the compensation is +0.576°. The resolution step of the phase
compensation is 0.038°.
Phase calibration should be carried out after amplitude calibration. The method to follow is
the same for both traditional power calibration and fast calibration approach.
As phase errors are amplified with power factor, to make them more evident a phase shift of
60° between line voltage and current is introduced.
In this case Eq. 1 becomes:
U•I
P = ----------2
Eq. 34
CPH bits need to be changed in such a way to achieve this target power, either reading
active power from DAP register (fast digital calibration approach) or measuring LED pin
output frequency (traditional calibration approach).
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5
RC calibration
RC calibration
The purpose of RC oscillator calibration is to bring the working frequency into the band of
interest (4.0 < F < 4.2MHz) in order to properly set some absolute definitions of time in the
device. The calibration can be obtained either by changing the value of current settling
resistor which should be connected between pin CLKIN and Vss or by programming of one
or two OTP bits (CRC). The first possibility allows a precise calibration to a certain value
while the second one allows only coarse calibration in few steps. In general, it is not so
important to have a precise frequency of a certain value as long it stays stable under
temperature variation or aging. On the other hand, the value of this frequency directly
influences the power constant of the meter. For example, if Rogowski coil is used, the
constant C changes twice as much as frequency F (dC/C = 2dF/F) but, if CT or shunt is
used, the constant C changes as frequency F (dC/C = dF/F).
Rev2
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Temperature calibration
6
AN2299
Temperature calibration
A calibration of Band Gap should be performed during EWS by means of production tester
which could permanently write one or two OTP lower bits of TC. Namely, on the die, there is
an additional test pad which enables the tester to measure the output of Band Gap
generator. The upper two bits of TC are intended for compensation of temperature variation
of the whole meter. We saw on some of our applications that we can rotate the temperature
curve of the whole meter by changing the value of configurator TC. But, in practice, it is very
difficult and time consuming to calibrate the temperature dependency of the meter.
Therefore, it is advisable to control temperature dependency during the meter design phase.
This would enable us to perform such compensation at the base.
6.1
APPENDIX A - Traditional calibration approach
It is possible to calibrate a STPM01 based energy meter also in a traditional way, setting the
calibrators Cv and Ci in order to fix LED frequency rather than voltage and current values.
The procedure requires an accurate frequency meter that allows reading frequency out of
the LED pin.
LED pin outputs a pulse train with frequency that can be chosen proportional to wide band
active power, 1st harmonic, reactive or apparent energy by setting a 2-bit configurator
APL=0 (CFG03=APL0=0, CFG04=APL1=0) and then by setting another 2-bit configurator
KMOT respectively to:
●
0 - Type 0 active energy - (CFG14=KMOT0=0, CFG15=KMOT1=0)
●
1 - Type 1 active energy - (CFG14=KMOT0=1, CFG15=KMOT1=0)
●
2 - Reactive energy - (CFG14=KMOT0=0, CFG15=KMOT1=1)
●
3 - Apparent energy - (CFG14=KMOT0=1, CFG15=KMOT1=1)
To perform the calibration, the following steps need to be performed.
6.1.1
Working point setting
Voltage and current nominal values must be defined before running the calibration
procedure, for example:
●
Line RMS voltage:
–
●
Line RMS current:
–
●
Vn=230V
In=5A
Active Power:
–
Pn=Vn*In=1150W
Target active power is calculated assuming no phase shift between line voltage and current.
Parameters reported in Table 3. are always valid for calculation.
In STPM01 active power is calculated from voltage and current registers. Eq. 9 and Eq. 10
show a proportional relationship between measured voltage and current and calibration
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Rev2
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Temperature calibration
parameters. For this reason measured power will be proportional to the product of voltage
and current calibrators, that will be defined as a "power calibrator" Kp:
P ∝ V • I ∝ Kv • Ki = Kp
Kv = Ki =
Kp
Eq. 35
Eq. 36
The minimum value of this new calibrator Kp is obtained with the minimum value of both
calibrators Kv and Ki, and its maximum value from the maximum value of Kv and Ki:
0.5625 = Kv MIN • Ki MIN < Kv MAX • Ki MAX = 1
Eq. 37
In this way a power correction parameter related to Kv and Ki has been deduced.
This parameter has a correction dynamic greater than Kv and Ki. This this means that
greater tolerances can be compensated, but in a single calibration point. In fact, with power
calibration linearity cannot be guaranteed if calibration is performed in a single point,
because power is calibrated, not voltage and current for which STPM01 has a great
linearity. To find out Kv and Ki that compensate power in a certain range, it could be useful
to perform the below procedure twice.
As done for Kv and Ki, to have the greatest correction dynamic, at the beginning of
calibration procedure, Kp should be put in the middle of this interval:
●
Calibrators‘ value
–
Kp = 0.78125
–
Kv = Ki = √Kp = 0,88
–
Ci = Cv = 137
and since LED pin frequency f is proportional to measured power P, it is possible to write an
equation analogous to Eq. 9 and Eq. 10 for the frequency:
Kp • f A
X F = -------------------0.78125
Eq. 38
where fA is the measured frequency of the LED pin and XF is the target frequency
calculated in Eq. 11.
b. Algorithm choice
This step is equivalent to that already explained for fast digital calibration procedure.
c. Offline parameters calculations
This step is equivalent to that already explained for fast digital calibration procedure.
d. Online Procedure
As done for fast digital calibration, before starting the online procedure it is necessary to
verify that the equipment is properly configured and connected.
Rev2
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Temperature calibration
AN2299
After system power on and frequency measurement, from Eq. 38 power calibrator Kp can
be derived as follows:
X
Kp = 0.78125 • -----FfA
Eq. 39
Then, from Eq. 36 and Eq. 8 Cv,i are calculated.
e. Coherency check
This step is equivalent to that already explained for fast digital calibration procedure.
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Rev2
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7
Revision history
Revision history
Table 5.
Document revision history
Changes
Date
Revision
25-Jan-2006
1
First issue
31-Jan-2006
2
Minor text revision
Rev2
25/26
AN2299
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