esphome-docs/components/climate/pid.rst
Patrick Collins c9b92b86d0
Update PID Climate with deadband and sampling (#1944)
Co-authored-by: H. Árkosi Róbert <robreg@zsurob.hu>
2022-11-30 10:58:51 +13:00

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PID Climate
===========
.. seo::
:description: Instructions for setting up PID climate controllers with ESPHome.
:image: function.svg
The ``pid`` climate platform allows you to regulate a value with a
`PID controller <https://en.wikipedia.org/wiki/PID_controller>`__.
PID controllers are good at modulating an output signal to get a sensor reading to a specified
setpoint. For example, it can be used to modulate the power of a heating unit to get the
temperature to a user-specified setpoint.
Explaining how PID controllers work in detail is out of scope of this documentation entry,
but there's a nice article explaining the function principle `here <https://blog.opticontrols.com/archives/344>`__.
.. code-block:: yaml
# Example configuration entry
climate:
- platform: pid
name: "PID Climate Controller"
sensor: temperature_sensor
default_target_temperature: 21°C
heat_output: heater
control_parameters:
kp: 0.49460
ki: 0.00487
kd: 12.56301
output_averaging_samples: 5 # smooth the output over 5 samples
derivative_averaging_samples: 5 # smooth the derivative value over 10 samples
deadband_parameters:
threshold_high: 0.5°C # deadband within +/-0.5°C of target_temperature
threshold_low: -0.5°C
Configuration variables:
------------------------
- **sensor** (**Required**, :ref:`config-id`): The sensor that is used to measure the current
temperature.
- **default_target_temperature** (**Required**, float): The default target temperature (setpoint)
for the control algorithm. This can be dynamically set in the frontend later.
- **heat_output** (*Optional*, :ref:`config-id`): The ID of a :ref:`float output <config-output>`
that increases the current temperature. At least one of ``heat_output`` and ``cool_output`` must
be specified.
- **cool_output** (*Optional*, :ref:`config-id`): The ID of a :ref:`float output <config-output>`
that decreases the current temperature. At least one of ``heat_output`` and ``cool_output`` must
be specified.
- **control_parameters** (**Required**): Control parameters of the PID controller.
- **kp** (**Required**, float): The factor for the proportional term of the PID controller.
- **ki** (*Optional*, float): The factor for the integral term of the PID controller.
Defaults to ``0``.
- **kd** (*Optional*, float): The factor for the derivative term of the PID controller.
Defaults to ``0``.
- **min_integral** (*Optional*, float): The maximum value of the integral term multiplied by
``ki`` to prevent windup. Defaults to ``-1``.
- **max_integral** (*Optional*, float): The minimum value of the integral term multiplied by
``ki`` to prevent windup. Defaults to ``1``.
- **starting_integral_term** (*Optional*, float): Set the initial output, by priming the integral
term. This is useful for when your system is rebooted and you don't want to wait
for it to get back equilibrium.
- **output_averaging_samples** (*Optional*, int): average the output over this many samples. PID controllers
can be quite sensitive to small changes on the input sensor. By averaging the last X output samples,
the temperature can be more stable. However, the larger the sampling window, the less responsive the
PID controller. Defaults to ``1`` which is no sampling/averaging.
- **derivative_averaging_samples** (*Optional*, int): average the derivative term over this many samples. Many
controllers don't use the derivative term because it is sensitive to slight changes in the input sensor.
By taking an average of the derivative term it might become more useful for you. Most PID controllers call
this derivative filtering. The derivative term is used to pre-act so don't filter too much. Defaults to ``1``
which is no sampling/averaging.
- **deadband_parameters** (*Optional*): Enables a deadband to stabilise and minimise changes in the
output when the temperature is close to the target temperature. See `Deadband Setup`_.
- **threshold_low/threshold_high** (**Required**, float): Specifies a high/low
threshold defining the deadband
around the target temperature. For instance with `default_target_temperature` of ``21°C`` and
thresholds of ``+/-0.5°C``, the deadband will be
between ``20.5°C - 21.5°C``. The PID controller will limit output changes within the deadband.
- **kp_multiplier** (**Optional**, float): Set the ``kp`` gain when inside the deadband. Defaults to ``0``.
- **ki_multiplier** (**Optional**, float): Set the ``ki`` gain when inside the deadband. Defaults to ``0``.
- **kd_multiplier** (**Optional**, float): Set the ``kd`` gain when inside the deadband. Recommended this
is set to 0. Defaults to ``0``.
- **deadband_output_averaging_samples** (**Optional**, int): Typically when inside the deadband the PID Controller has
reached a state of equilibrium, so it advantageous to use a higher number of output samples
like 10-30 samples. Defaults to ``1`` which is no sampling/averaging.
- All other options from :ref:`Climate <config-climate>`.
.. _pid-setup:
PID Controller Setup
--------------------
To set up a PID climate controller, you need a couple of components:
- A :ref:`Sensor <config-sensor>` to read the current temperature (``sensor``).
- At least one :ref:`float output <config-output>` to drive for heating or cooling (or both).
This could for example be a PWM output via :doc:`/components/output/slow_pwm` that drives a heating unit.
Please note the output *must* be controllable with continuous value (not only ON/OFF, but any state
in between for example 50% heating power).
.. note::
The sensor should have a short update interval. The PID update frequency is tied to the update
interval of the sensor. Set a short ``update_interval`` like ``1s`` on the sensor.
We recommend putting a filter on the sensor (see filters in :doc:`/components/sensor/index`) and
using ``output_averaging_samples`` to calm the PID sensor from a noisy input sensor.
Deadband Setup
--------------
A deadband is used to prevent the PID controller from further adjusting the power
once the temperature has settled within a range of the target temperature.
We do this by specifying a high/low threshold of the target temperature.
To understand the benefit, consider a heating/cooling HVAC which is constantly
oscillating between heating and cooling as the thermostat records very minor
changes from +0.1º to -0.1º. Clearly this is undesirable and will cause wear
and tear as the HVAC oscillates. With a deadband in place the heater won't
activate until the thermostat breaches the low_threshold and the cooler won't activate
until the thermostat breaches the high_threshold.
The most basic setup specifies the threshold around the target temperature as follows:
.. code-block:: yaml
default_target_temperature: 21°C
...
deadband_parameters:
threshold_high: 0.5°C
threshold_low: -1.0°C
In this example the deadband is between ``20.0°C - 21.5°C``. The PID controller will limit any output
variation inside this deadband. How it limits depends on how you set the `Deadband Multipliers`_.
.. figure:: images/deadband1.png
Deadband Multipliers
********************
Deadband Multipliers tell the controller how to operate when inside of the deadband.
Each of the p,i and d terms can be controlled using the kp, ki and kd multipliers. For instance, if the kp_multiplier
is set to 0.05 then the final proportional term will be set to 5% of its normal value within the deadband.
If all of the multipliers are set to 0, then the controller will not adjust power at all within the
deadband. This is the default behavior.
Most deadband implementations set kp and ki multipliers to a small gain like ``0.05`` and set
derivative to 0. This means that the PID output will calmly make minor adjustments over a 20x longer
timeframe to stay within the deadband zone.
To start with we recommend just setting the ``ki_multiplier`` to ``0.05`` (5%). Then
set ``kp_multiplier`` to ``0.05`` (5%) if the controller is falling out of the deadband too often.
.. code-block:: yaml
default_target_temperature: 21°C
...
deadband_parameters:
threshold_high: 0.5°C
threshold_low: -1.0°C
kp_multiplier: 0.0 # proportional gain turned off inside deadband
ki_multiplier: 0.05 # integral accumulates at only 5% of normal ki
kd_multiplier: 0.0 # derviative is turned off inside deadband
deadband_output_averaging_samples: 15 # average the output over 15 samples within the deadband
.. figure:: images/deadband2.png
Deadband Output Averaging Samples
*********************************
Since we expect the PID Controller to be at equilibrium while inside the deadband, we can
average the output over a longer range of samples, like 15 samples. This helps even further
with temperature and controller stability.
.. _pid-autotune:
Autotuning
----------
Finding suitable ``kp``, ``ki`` and ``kd`` control parameters for the PID controller manually
needs some experience with PID controllers. ESPHome has an auto-tuning algorithm that automatically
finds suitable PID parameters to start using an adaption of the Ziegler-Nichols method with
relay autotuning (Åström and Hägglund).
To autotune the control parameters:
1. Set up the PID controller with all control parameters set to zero:
.. code-block:: yaml
climate:
- platform: pid
id: pid_climate
name: "PID Climate Controller"
sensor: temperature_sensor
default_target_temperature: 21°C
heat_output: heater
control_parameters:
kp: 0.0
ki: 0.0
kd: 0.0
2. Create a :doc:`template switch </components/switch/template>` to start autotuning later:
.. code-block:: yaml
switch:
- platform: template
name: "PID Climate Autotune"
turn_on_action:
- climate.pid.autotune: pid_climate
3. Compile & Upload the new firmware.
Now you should have a climate entity called "PID Climate Controller" and a switch called
"PID Climate Autotune" visible in your frontend of choice.
The autotune algorithm works by repeatedly switching the heat/cool output to full power and off.
This induced an oscillation of the observed temperature and the measured period and amplitude
is automatically calculated.
But this also means you **have to set the setpoint** of the climate controller to a value the
device can reach. For example if the temperature of a room is to be controlled, the setpoint needs
to be above the ambient temperature. If the ambient temperature is 20°C, the setpoint of the
climate device should be set to at least ~24°C so that an oscillation can be induced.
4. Set an appropriate setpoint (see above).
5. Click on the "PID Climate Autotune" and view the logs of the device.
You should see output like
.. code-block:: text
PID Autotune:
Autotune is still running!
Status: Trying to reach 24.25 °C
Stats so far:
Phases: 4
Detected 5 zero-crossings
# ...
For example, in the output above, the autotuner is driving the heating output at 100%
and trying to reach 24.25 °C.
This will continue for some time until data for 6 phases (or a bit more, depending on the data
quality) have been acquired.
6. When the PID autotuner has succeeded, output like the one below can be seen:
.. code-block:: text
PID Autotune:
State: Succeeded!
All checks passed!
Calculated PID parameters ("Ziegler-Nichols PID" rule):
Calculated PID parameters ("Ziegler-Nichols PID" rule):
control_parameters:
kp: 0.49460
ki: 0.00487
kd: 12.56301
Please copy these values into your YAML configuration! They will reset on the next reboot.
# ...
Copy the values in ``control_parameters`` into your configuration.
.. code-block:: yaml
climate:
- platform: pid
# ...
control_parameters:
kp: 0.49460
ki: 0.00487
kd: 12.56301
7. Complete, compile & upload the updated firmware.
If the calculated PID parameters are not good, you can try some of the alternative parameters
printed below the main control parameters in the log output.
``climate.pid.autotune`` Action
-------------------------------
This action starts the autotune process of the PID controller.
.. code-block:: yaml
on_...:
# Basic
- climate.pid.autotune: pid_climate
# Advanced
- climate.pid.autotune:
id: pid_climate
noiseband: 0.25
positive_output: 25%
negative_output: -25%
Configuration variables:
- **id** (**Required**, :ref:`config-id`): ID of the PID Climate to start autotuning for.
- **noiseband** (*Optional*, float): The noiseband of the process (=sensor) variable. The value
of the PID controller must be able to reach this value. Defaults to ``0.25``.
- **positive_output** (*Optional*, float): The positive output power to drive the heat output at.
Defaults to ``1.0``.
- **negative_output** (*Optional*, float): The positive output power to drive the cool output at.
Defaults to ``-1.0``.
``climate.pid.set_control_parameters`` Action
---------------------------------------------
This action sets new values for the control parameters of the PID controller. This can be
used to manually tune the PID controller. Make sure to take update the values you want on
the YAML file! They will reset on the next reboot.
.. code-block:: yaml
on_...:
- climate.pid.set_control_parameters:
id: pid_climate
kp: 0.0
ki: 0.0
kd: 0.0
Configuration variables:
- **id** (**Required**, :ref:`config-id`): ID of the PID Climate to start autotuning for.
- **kp** (**Required**, float): The factor for the proportional term of the PID controller.
- **ki** (*Optional*, float): The factor for the integral term of the PID controller.
Defaults to ``0``.
- **kd** (*Optional*, float): The factor for the derivative term of the PID controller.
Defaults to ``0``.
``climate.pid.reset_integral_term`` Action
------------------------------------------
This action resets the integral term of the PID controller to 0. This might be necessary under certain
conditions to avoid the control loop to overshoot (or undershoot) a target.
.. code-block:: yaml
on_...:
# Basic
- climate.pid.reset_integral_term: pid_climate
Configuration variables:
- **id** (**Required**, :ref:`config-id`): ID of the PID Climate being reset.
``pid`` Sensor
--------------
Additionally, the PID climate platform provides an optional sensor platform to monitor
the calculated PID parameters to help finding good PID values.
.. code-block:: yaml
sensor:
- platform: pid
name: "PID Climate Result"
type: RESULT
Configuration variables:
- **name** (**Required**, string): The name of the sensor
- **type** (**Required**, string): The value to monitor. One of
- ``RESULT`` - The resulting value (sum of P, I, and D terms).
- ``ERROR`` - The calculated error (setpoint - process_variable)
- ``PROPORTIONAL`` - The proportional term of the PID controller.
- ``INTEGRAL`` - The integral term of the PID controller.
- ``DERIVATIVE`` - The derivative term of the PID controller.
- ``HEAT`` - The resulting heating power to the supplied to the ``heat_output``.
- ``COOL`` - The resulting cooling power to the supplied to the ``cool_output``.
- ``KP`` - The current factor for the proportional term of the PID controller.
- ``KI`` - The current factor for the integral term of the PID controller.
- ``KD`` - The current factor for the differential term of the PID controller.
Advanced options:
- **climate_id** (*Optional*, :ref:`config-id`): The ID of the pid climate to get the values from.
See Also
--------
- Ziegler-Nichols Method: Nichols, N. B. and J. G. Ziegler (1942), 'Optimum settings for automatic
controllers', Transactions of the ASME, 64, 759-768
- Åström, K. J. and T. Hägglund (1984a), 'Automatic tuning of simple regulators',
Proceedings of IFAC 9th World Congress, Budapest, 1867-1872
- :doc:`/components/climate/index`
- :doc:`/components/output/slow_pwm`
- :apiref:`pid/pid_climate.h`
- :apiref:`PID Autotuner <pid/pid_autotune.h>`
- :ghedit:`Edit`