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The LA 55-P datasheet specifies the burden resistor value must be between 135Ω and 155Ω so a 150Ω resistor was selected.
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(current-sensor-gain)=
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### Current Sensor Gain
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The LA 55P has a conversion ratio of _N_<sub>1</sub>:_N_<sub>2</sub> = 1:1000, where _N_<sub>1</sub> is the primary turns (the number of turns the user passes through the sensor's window) and _N_<sub>2</sub> is the secondary turns. With the chosen _R_<sub>_BURDEN_</sub> and _N_<sub>1</sub> = 1, the current sense circuitry has a current-voltage gain of 1/7 [V/A].
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@@ -50,6 +51,7 @@ To use the sensor in a lower current range, the user can increase the number of
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### Voltage Reference (LDO)
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The voltage reference, _V_<sub>_REF_</sub> is needed for the ADC. As 5V is readily available, and the LDO will have a minimum drop out voltage, _V_<sub>_REF_</sub> = 4.5V was chosen (beginning with board revision C). The LDO selected was `REF5045` from Texas Instruments, which can take a 5V input and provide a 4.5V reference output. This has an accuracy of 0.1% and low noise of 3μVpp/V.
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(op-amp-stage)=
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### Op Amp Stage
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A non-inverting level translation circuit is implemented using Op Amps as shown here:
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The final design is implemented so that $I_{\rm PRIMARY} = -70A$ results in $V_{\rm out} \approx 0V$ and $I_{\rm PRIMARY} = 70A$ results in $V_{\rm out} \approx 5V$.
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```{attention}
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As the op-amp output voltage approaches the supply rails, it tends to distort and behave nonlinearly. It is recommended to limit the output voltage to stay within 0.2V to 4.5V for best performance. The user is advised to consider their required current measurement range with the [final voltage expressions](final-primary-current-to-adc-input-voltage-relationship) to select an appropriate number of [primary turns](current-sensor-gain).
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As the op-amp output voltage approaches the supply rails, it tends to distort and behave nonlinearly. It is recommended to limit the output voltage to stay within 0.2V to 4.5V for best performance. The user is advised to consider their required current measurement range with the [final voltage expressions](#voltage-relationship) to select an appropriate number of [primary turns](#current-sensor-gain).
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```
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### First Order Anti-Aliasing Filter
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The maximum data throughput for a single chip is 1 MSPS but decreases by a factor of N for N devices in the daisy-chain.
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The input voltage range is 0-$V_{\rm REF}$. The positive input pin of the ADC `AINP` is connected to the output of the low pass filter, and the negative input pin `AINN` is connected to `GND`.
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(voltage-relationship)=
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#### Relationship Between Input and ADC voltage
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From the equations provided in the [Op Amp Stage](#op-amp-stage) section, the general relationship between the measured current $I_{\rm PRIMARY}$ and the input voltage of ADC $V_{\text{ADC}}$ can be calculated, and the relationship for each revision of the current sensor board is provided below:
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