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How to compute value range over temperature in Python using UliEngineering

You can easily compute the range of a component value over a temperature range using the UliEngineering Python library:

value_range_over_temperature.py
from UliEngineering.Electronics.Temperature import value_range_over_temperature
from UliEngineering.EngineerIO import *

# Compute range for 10k resistor with 100ppm/°C from 0°C to 100°C
min_val, max_val = value_range_over_temperature("10k", "100ppm/°C", 0.0, 100.0)
print(f"Range (10k, 100ppm/°C, 0-100°C): {format_value(min_val, 'Ω')} to {format_value(max_val, 'Ω')}")

# Compute range for 1µF capacitor with 200ppm/°C from -40°C to 85°C
min_val, max_val = value_range_over_temperature("1uF", "200ppm/°C", -40.0, 85.0)
print(f"Range (1µF, 200ppm/°C, -40-85°C): {format_value(min_val, 'F')} to {format_value(max_val, 'F')}")

Example output

value_range_over_temperature_output.txt
Range (10k, 100ppm/°C, 0-100°C): 9.90 kΩ to 10.1 kΩ
Range (1µF, 200ppm/°C, -40-85°C): 975 nF to 1.02 µF

The value range over temperature calculates the minimum and maximum values a component will exhibit across a specified temperature range based on its temperature coefficient. This is essential for circuit design to ensure proper operation under all expected environmental conditions, accounting for component value variations with temperature.

The range is computed using the formula: $V_{min} = V_0 \times (1 + \text{ppm} \times 10^{-6} \times \Delta T_{min})$ and $V_{max} = V_0 \times (1 + \text{ppm} \times 10^{-6} \times \Delta T_{max})$, where $V_0$ is the nominal value, ppm is the temperature coefficient in parts per million per degree Celsius, and $\Delta T$ is the temperature deviation from the reference temperature.

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