Add ema calculation class, calculate an emo temperature, use the ema_temperature in auto_window dectection

custom_components/versatile_thermostat/base_thermostat.py

@@ -109,10 +109,13 @@ from .const import (
     PRESET_AC_SUFFIX,
 )
 
+from .commons import get_tz
+
 from .underlyings import UnderlyingEntity
 
 from .prop_algorithm import PropAlgorithm
 from .open_window_algorithm import WindowOpenDetectionAlgorithm
+from .ema import EstimatedMobileAverage
 
 _LOGGER = logging.getLogger(__name__)
 
@@ -246,6 +249,8 @@ class BaseThermostat(ClimateEntity, RestoreEntity):
 
         self._underlyings = []
 
+        self._smooth_temp = None
+        self._ema_algo = None
         self.post_init(entry_infos)
 
     def post_init(self, entry_infos):
@@ -450,6 +455,13 @@ class BaseThermostat(ClimateEntity, RestoreEntity):
 
         self._total_energy = 0
 
+        self._ema_algo = EstimatedMobileAverage(
+            self.name,
+            self._cycle_min * 60,
+            # Needed for time calculation
+            get_tz(self._hass),
+        )
+
         _LOGGER.debug(
             "%s - Creation of a new VersatileThermostat entity: unique_id=%s",
             self,
@@ -1476,6 +1488,11 @@ class BaseThermostat(ClimateEntity, RestoreEntity):
 
             self._last_temperature_mesure = self.get_state_date_or_now(state)
 
+            # calculate the smooth_temperature with EMA calculation
+            self._ema_temp = self._ema_algo.calculate_ema(
+                self._cur_temp, self._last_temperature_mesure
+            )
+
             _LOGGER.debug(
                 "%s - After setting _last_temperature_mesure %s , state.last_changed.replace=%s",
                 self,
@@ -1679,7 +1696,7 @@ class BaseThermostat(ClimateEntity, RestoreEntity):
             return
 
         slope = self._window_auto_algo.add_temp_measurement(
-            temperature=self._cur_temp, datetime_measure=self._last_temperature_mesure
+            temperature=self._ema_temp, datetime_measure=self._last_temperature_mesure
         )
         _LOGGER.debug(
             "%s - Window auto is on, check the alert. last slope is %.3f",
@@ -2155,6 +2172,7 @@ class BaseThermostat(ClimateEntity, RestoreEntity):
             "max_power_sensor_entity_id": self._max_power_sensor_entity_id,
             "temperature_unit": self.temperature_unit,
             "is_device_active": self.is_device_active,
+            "ema_temp": self._ema_temp,
         }
 
     @callback

custom_components/versatile_thermostat/ema.py

@@ -0,0 +1,80 @@
+# pylint: disable=line-too-long
+"""The Estimated Mobile Average calculation used for temperature slope
+and maybe some others feature"""
+
+import logging
+import math
+from datetime import datetime, tzinfo
+
+_LOGGER = logging.getLogger(__name__)
+
+MIN_TIME_DECAY_SEC = 5
+# As for the EMA calculation of irregular time series, I've seen that it might be useful to
+# have an upper limit for alpha in case the last measurement was too long ago.
+# For example when using a half life of 10 minutes a measurement that is 60 minutes ago
+# (if there's nothing inbetween) would contribute to the smoothed value with 1,5%,
+# giving the current measurement 98,5% relevance. It could be wise to limit the alpha to e.g. 4x the half life (=0.9375).
+MAX_ALPHA = 0.9375
+
+
+class EstimatedMobileAverage:
+    """A class that will do the Estimated Mobile Average calculation"""
+
+    def __init__(self, vterm_name: str, halflife: float, timezone: tzinfo):
+        """The halflife is the duration in secondes of a normal cycle"""
+        self._halflife: float = halflife
+        self._timezone = timezone
+        self._current_ema: float = None
+        self._last_timestamp: datetime = datetime.now(self._timezone)
+        self._name = vterm_name
+
+    def __str__(self) -> str:
+        return f"EMA-{self._name}"
+
+    def calculate_ema(self, measurement: float, timestamp: datetime) -> float | None:
+        """Calculate the new EMA from a new measurement measured at timestamp
+        Return the EMA or None if all parameters are not initialized now
+        """
+
+        if measurement is None or timestamp is None:
+            _LOGGER.warning(
+                "%s - Cannot calculate EMA: measurement and timestamp are mandatory. This message can be normal at startup but should not persist",
+                self,
+            )
+            return measurement
+
+        if self._current_ema is None:
+            _LOGGER.debug(
+                "%s - First init of the EMA",
+                self,
+            )
+            self._current_ema = measurement
+            self._last_timestamp = timestamp
+            return self._current_ema
+
+        time_decay = (timestamp - self._last_timestamp).total_seconds()
+        if time_decay < MIN_TIME_DECAY_SEC:
+            _LOGGER.debug(
+                "%s - time_decay %s is too small (< %s). Forget the measurement",
+                self,
+                time_decay,
+                MIN_TIME_DECAY_SEC,
+            )
+            return self._current_ema
+
+        alpha = 1 - math.exp(math.log(0.5) * time_decay / self._halflife)
+        # capping alpha to avoid gap if last measurement was long time ago
+        alpha = min(alpha, 0.9375)
+        new_ema = round(alpha * measurement + (1 - alpha) * self._current_ema, 1)
+
+        self._last_timestamp = timestamp
+        self._current_ema = new_ema
+        _LOGGER.debug(
+            "%s - alpha=%.2f new_ema=%.2f last_timestamp=%s",
+            self,
+            alpha,
+            self._current_ema,
+            self._last_timestamp,
+        )
+
+        return self._current_ema

custom_components/versatile_thermostat/pi_algorithm.py

@@ -49,6 +49,7 @@ class PITemperatureRegulator:
         self.target_temp = target_temp
         # Do not reset the accumulated error
         # Discussion #191. After a target change we should reset the accumulated error which is certainly wrong now.
+        if self.accumulated_error < 0:
             self.accumulated_error = 0
 
     def calculate_regulated_temperature(

tests/test_ema.py

@@ -0,0 +1,53 @@
+# pylint: disable=line-too-long
+""" Tests de EMA calculation"""
+from datetime import datetime, timedelta
+
+from homeassistant.core import HomeAssistant
+
+from custom_components.versatile_thermostat.ema import EstimatedMobileAverage
+
+from .commons import get_tz
+
+
+def test_ema_basics(hass: HomeAssistant):
+    """Test the EMA calculation with basic features"""
+
+    tz = get_tz(hass)  # pylint: disable=invalid-name
+    now: datetime = datetime.now(tz=tz)
+
+    the_ema = EstimatedMobileAverage(
+        "test",
+        # 5 minutes
+        300,
+        # Needed for time calculation
+        get_tz(hass),
+    )
+
+    assert the_ema
+
+    current_timestamp = now
+    # First initialization
+    assert the_ema.calculate_ema(20, current_timestamp) == 20
+
+    current_timestamp = current_timestamp + timedelta(minutes=1)
+    # One minute later, same temperature. EMA temperature should not have change
+    assert the_ema.calculate_ema(20, current_timestamp) == 20
+
+    # Too short measurement should be ignored
+    assert the_ema.calculate_ema(2000, current_timestamp) == 20
+
+    current_timestamp = current_timestamp + timedelta(seconds=4)
+    assert the_ema.calculate_ema(20, current_timestamp) == 20
+
+    # a new normal measurement 5 minutes later
+    current_timestamp = current_timestamp + timedelta(minutes=5)
+    ema = the_ema.calculate_ema(25, current_timestamp)
+    assert ema > 20
+    assert ema == 22.5
+
+    # a big change in a short time does have a limited effect
+    current_timestamp = current_timestamp + timedelta(seconds=5)
+    ema = the_ema.calculate_ema(30, current_timestamp)
+    assert ema > 22.5
+    assert ema < 23
+    assert ema == 22.6