This integrations provides the Riemann sum of the values provided by a source sensor. The Riemann sum is an approximation of an integral by a finite sum.

The integration sensors are updated upon changes of the source. Fast sampling source sensors provide more accurate results. In this implementation, the default is the Trapezoidal method, but Left and Right methods can optionally be used.


To add the Integral integration to your Home Assistant instance, use this My button:


The name the sensor should have. You can change it again later.

Input sensor

The entity providing numeric readings to integrate.

Integral method

Riemann sum method to be used.


Round the calculated integration value to at most N decimal places.

Metric prefix

Metric unit to prefix the integration result.

Integration time

SI unit of time to integrate over.

YAML configuration

Alternatively, this integration can be configured and set up manually via YAML as well. To enable the Integration sensor in your installation, add the following to your configuration.yamlThe configuration.yaml file is the main configuration file for Home Assistant. It lists the integrations to be loaded and their specific configurations. In some cases, the configuration needs to be edited manually directly in the configuration.yaml file. Most integrations can be configured in the UI.[Learn more] file:

# Example configuration.yaml entry
  - platform: integration
    source: sensor.current_power

Configuration Variables

source string Required

The entity ID of the sensor providing numeric readings.

name string (Optional)

Name to use in the frontend.


source entity ID integral

unique_id string (Optional)

An ID that uniquely identifies the integration sensor. Set this to a unique value to allow customization through the UI.

round integer (Optional, default: 3)

Round the calculated integration value to at most N decimal places.

unit_prefix string (Optional, default: None)

Metric unit to prefix the integration result. Available units are k, M, G and T.

unit_time string (Optional, default: h)

SI unit of time to integrate over. Available units are s, min, h and d.

method string (Optional, default: trapezoidal)

Riemann sum method to be used. Available methods are trapezoidal, left and right.

In case you expect that your source sensor will provide several subsequent values that are equal, you should opt for the left method to get accurate readings.

The unit of source together with unit_prefix and unit_time is used to generate a unit for the integral product (e.g. a source in W with prefix k and time h would result in kWh). Note that unit_prefix and unit_time are also relevant to the Riemann sum calculation.

Integration method

Riemann Sum is a approximation of an integral by a finite sum and is therefore intrinsically inaccurate, nonetheless, depending on the method used, values can be more or less accurate.

Regardless of the method used the integration will be more accurate if the source updates more often. If your source is not updated, neither will the Riemann Sum sensor, as all this integration does is calculate the next step in the event of a source update.


The trapezoidal method follows the Trapezoidal rule. This method is the most accurate of the currently implemented methods, if the source updates often, since it better fits the curve of the intrinsic source.


The left method follows the Left rule. The method underestimates the intrinsic source, but is extremely accurate at estimating rectangular functions which are very stable for long periods of time and change very rapidly (e.g. such as the power function of a resistive load can jump instantly to a given value and stay at the same value for hours). If your source keeps its state for long periods of time, this method is preferable to the trapezoidal.


The right method follows the Right rule. The method is similar to the left method, but overestimates the intrinsic source. Again it is only appropriate to be used with rectangular functions.


An integration sensor is quite useful in energy billing scenarios since energy is generally billed in kWh and many sensors provide power in W (Watts).

If you have a sensor that provides you with power readings in Watts (uses W as unit_of_measurement, device_class of power), then you can use the integration sensor to track how much energy is being spent. Take the next manual YAML configuration as an example:

  - platform: integration
    source: sensor.current_power
    name: energy_spent
    unit_prefix: k
    round: 2

This configuration will provide you with sensor.energy_spent which will have your energy in kWh, as a device_class of energy.