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Commit ·
696a9b4
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Parent(s): 72473af
JHA_Solarmon_API
Browse files- __pycache__/meteo_functions.cpython-310.pyc +0 -0
- __pycache__/predictions.cpython-310.pyc +0 -0
- __pycache__/preprocessing_functions.cpython-310.pyc +0 -0
- app.py +45 -21
- input_preprocessor.pkl +3 -0
- meteo_functions.py +89 -0
- model_hist/input_preprocessor.pkl +3 -0
- model_hist/output_preprocessor.pkl +3 -0
- output_preprocessor.pkl +3 -0
- predictions.py +54 -1
- preprocessing_functions.py +84 -5
__pycache__/meteo_functions.cpython-310.pyc
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Binary file (5.93 kB). View file
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__pycache__/predictions.cpython-310.pyc
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Binary file (3.62 kB). View file
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__pycache__/preprocessing_functions.cpython-310.pyc
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Binary file (4.19 kB). View file
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app.py
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@@ -3,19 +3,28 @@ import pandas as pd
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import numpy as np
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from datetime import timedelta
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import datetime
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from meteo_functions import
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from predictions import predict
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import gc
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def clear_memory():
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gc.collect()
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#
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today = datetime.date.today()
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max_date = today + datetime.timedelta(days=4)
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@@ -25,30 +34,45 @@ with st.form(key="sample_form"):
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if submit_button:
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previous_day = date_utc - timedelta(days=1)
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if date_utc < today - datetime.timedelta(days=
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-
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-
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st.write("Meteorologická data:")
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st.dataframe(data)
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predict(data)
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clear_memory()
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-
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df_meteo = get_forecast_meteo_data(previous_day, date_utc)
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df_air_quality = get_air_quality_forecast(previous_day, date_utc)
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data = df_meteo.merge(df_air_quality, on="DT", how="inner")
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#st.write("Budouci data:")
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#st.dataframe(df_meteo)
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#st.dataframe(df_air_quality)
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-
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st.dataframe(data)
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predict(data)
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clear_memory()
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else:
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-
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import numpy as np
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from datetime import timedelta
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import datetime
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from meteo_functions import *
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from predictions import predict, predict_solarmon_history
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import gc
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import os
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username = os.environ.get("USERNAME")
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password = os.environ.get("PASSWORD")
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def clear_memory():
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gc.collect()
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def use_history_model(previous_day, date_utc):
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# st.subheader(f"Predikce výkonu pro: {date_utc}:")
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df_meteo = get_meteo_data(previous_day, date_utc)
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df_air_quality = get_air_quality_data(previous_day, date_utc)
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data = df_meteo.merge(df_air_quality, on="DT", how="inner")
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st.write("Meteorologická data:")
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st.dataframe(data)
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predict(data)
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clear_memory()
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st.title("Predikce výkonu FVE ABA")
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today = datetime.date.today()
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max_date = today + datetime.timedelta(days=4)
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if submit_button:
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previous_day = date_utc - timedelta(days=1)
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if date_utc < today - datetime.timedelta(days=60): # delsi nez dva mesice - data z API k dispozici jen 2 mesice zpetne
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use_history_model(previous_day= previous_day, date_utc = date_utc)
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elif date_utc < today:
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data_solarmon = load_and_check_data_solarmon(date_utc- timedelta(days=1), date_utc, username, password) # solarmon-api
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if data_solarmon.isnull().values.any():
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st.warning("Nepodařilo se načíst data ze systému SOLARMON.")
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use_history_model(previous_day= previous_day, date_utc = date_utc)
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else:
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df_meteo = get_meteo_data(previous_day, date_utc)
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df_air_quality = get_air_quality_data(previous_day, date_utc)
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predpoved_meteo = create_time_cycles(df_meteo.merge(df_air_quality, on="DT", how="inner"))
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# st.write("Data - Solarmon:")
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# st.dataframe(data_solarmon)
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# st.write("Předpověď - OpenMeteo:")
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# st.dataframe(predpoved_meteo)
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predpoved_meteo['DT'] = pd.to_datetime(predpoved_meteo['DT']).dt.tz_localize('UTC')
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data = predpoved_meteo.merge(data_solarmon, on="DT", how="inner")
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st.write("Dataset:")
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st.dataframe(data)
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predict_solarmon_history(data)
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clear_memory()
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elif previous_day < date_utc < today + datetime.timedelta(days=5):
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# st.header(f"Data pro: {date_utc}:")
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df_meteo = get_forecast_meteo_data(previous_day, date_utc)
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df_air_quality = get_air_quality_forecast(previous_day, date_utc)
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data = df_meteo.merge(df_air_quality, on="DT", how="inner")
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#st.write("Budouci data:")
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#st.dataframe(df_meteo)
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#st.dataframe(df_air_quality)
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st.write("Meteorologická předpověď:")
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st.dataframe(data)
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predict(data)
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clear_memory()
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else:
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st.warning("Predikce je dostupná pouze pro následujících 5 dnů.")
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input_preprocessor.pkl
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version https://git-lfs.github.com/spec/v1
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oid sha256:8c2fcafee3a50a9029417ae11ba929ac8af042978438e334b858dcc2831f01bd
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size 5908
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meteo_functions.py
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import pandas as pd
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import requests
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import numpy as np
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lat = 49.13114
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lon = 15.18067
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return df_air_quality
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import pandas as pd
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import requests
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import numpy as np
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import streamlit as st
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import json
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from datetime import date, timedelta
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lat = 49.13114
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lon = 15.18067
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return df_air_quality
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def get_data_for_day(day: date, username: str, password: str) -> list[dict]:
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"""
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Stáhne data z API pomocí POST požadavku pro daný den.
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:param day: Datum typu `datetime.date`
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:param username: Uživatelské jméno pro API
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:param password: Heslo pro API
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:return: Seznam měření (dictů) pro daný den
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"""
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url = f"https://aba.solarmon.eu/rest-server/?q=getDataPredMod&date={day.strftime('%Y-%m-%d')}"
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payload = {
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'username': username,
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'password': password
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}
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try:
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response = requests.post(url, data=payload)
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response.raise_for_status()
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data = response.json()
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data = json.loads(data)
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return data.get("data", [])
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except (requests.RequestException, ValueError) as e:
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st.error(f"Chyba při načítání dat pro {day}: {e}")
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return []
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def load_and_check_data_solarmon(start_date: date, end_date: date, username: str, password: str) -> pd.DataFrame:
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current_date = start_date
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all_data = []
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while current_date <= end_date + timedelta(days=1):# pridame dalsi den kvuli poslednim 2 hodinam
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daily_data = pd.DataFrame(get_data_for_day(current_date, username, password))
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all_data.append(daily_data)
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current_date += timedelta(days=1)
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solarmon_meteo = pd.concat(all_data).sort_index()
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solarmon_meteo = pd.DataFrame(solarmon_meteo)
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solarmon_meteo["time"] = pd.to_datetime(solarmon_meteo["time"]) # + pd.Timedelta(minutes=5) # experimentalne zjistit zda je potreba
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solarmon_meteo["time"] = solarmon_meteo["time"].dt.tz_localize("Europe/Prague").dt.tz_convert("UTC")
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solarmon_meteo = solarmon_meteo.set_index("time")
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# převody typů a kontrola
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solarmon_meteo["int_sol_irr"] = pd.to_numeric(solarmon_meteo["int_sol_irr"], errors='coerce')
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solarmon_meteo["tmp_module"] = pd.to_numeric(solarmon_meteo["tmp_module"], errors='coerce')
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solarmon_meteo["energy"] = pd.to_numeric(solarmon_meteo["energy"], errors='coerce')
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# Resample na hodinové intervaly
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solarmon_meteo = solarmon_meteo.resample('1h').agg({
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'int_sol_irr': 'mean',
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'wind_vel': 'mean',
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'tmp_amb': 'mean',
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'tmp_module': 'mean',
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'energy': 'sum'
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})
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solarmon_meteo['energy'] = solarmon_meteo['energy'] / 1000
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solarmon_meteo.rename_axis("DT", inplace=True)
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solarmon_meteo.rename(
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columns={
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'int_sol_irr': 'Me',
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'tmp_module': 'tp',
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'energy': 'output',
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'tmp_amb': 'to'
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},
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inplace=True
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)
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solarmon_meteo.drop(['wind_vel'], axis=1, inplace=True)
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solarmon_meteo.index = pd.to_datetime(solarmon_meteo.index)
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start_datetime = pd.to_datetime(start_date).tz_localize('UTC')
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end_datetime = pd.to_datetime(end_date).tz_localize('UTC') + pd.Timedelta(days=1)
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solarmon_meteo = solarmon_meteo[(solarmon_meteo.index >= start_datetime) & (solarmon_meteo.index < end_datetime)]
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# solarmon_meteo.isnull().values.any() kontroluje zda neni NaN hodnota
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solarmon_meteo = solarmon_meteo.reset_index(drop=False) # resetovani indexu
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# df_meteo["DT"] = df_meteo["DT"].dt.tz_localize("UTC")
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#df_meteo = get_meteo_data(previous_date, selected_date)
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#df_air_quality = get_air_quality_data(previous_date, selected_date)
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#df_meteo = df_meteo.merge(df_air_quality, on="DT", how="inner")
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#df = df.merge(df_meteo, on="DT", how="inner")
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#df = create_time_cycles(df)
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return solarmon_meteo
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# return df[2:26]
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model_hist/input_preprocessor.pkl
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version https://git-lfs.github.com/spec/v1
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oid sha256:9bd687f252949c2015c68b81ae16b337d61ead28e6ec1f7bbb934fedf1f1bbfe
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size 5756
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model_hist/output_preprocessor.pkl
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version https://git-lfs.github.com/spec/v1
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oid sha256:a21576128cba609962c3396a6e7397f4a2765ede43a3e4c89d7481b6269ed1e5
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size 1705
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output_preprocessor.pkl
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version https://git-lfs.github.com/spec/v1
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oid sha256:a21576128cba609962c3396a6e7397f4a2765ede43a3e4c89d7481b6269ed1e5
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+
size 1705
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predictions.py
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import numpy as np
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from meteo_functions import create_time_cycles
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import joblib
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-
from preprocessing_functions import create_sequences, plot_solar_power_prediction, load_model, load_transformers
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from tensorflow import keras
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import gc
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gc.collect()
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return None
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import numpy as np
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from meteo_functions import create_time_cycles
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import joblib
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| 6 |
+
from preprocessing_functions import create_sequences, create_sequences_solarmon, plot_solar_power_prediction, load_model, load_model_solarmon, load_transformers, load_transformers_solarmon
|
| 7 |
from tensorflow import keras
|
| 8 |
import gc
|
| 9 |
|
|
|
|
| 58 |
gc.collect()
|
| 59 |
|
| 60 |
return None
|
| 61 |
+
|
| 62 |
+
def predict_solarmon_history(data: pd.DataFrame):
|
| 63 |
+
"""
|
| 64 |
+
Jedná se o přesnější predikce pro aktuální a minulé dny s využitím API od Solarmonu
|
| 65 |
+
data:: dataframe s daty za minuly den
|
| 66 |
+
predpoved:: dataframe s predpovedi pro aktualni den
|
| 67 |
+
"""
|
| 68 |
+
st.divider()
|
| 69 |
+
# Načtění transformátorů
|
| 70 |
+
input_preprocessor, output_scaler = load_transformers_solarmon()
|
| 71 |
+
|
| 72 |
+
# transformace vstupnich prom
|
| 73 |
+
X_dataset = input_preprocessor.transform(data)
|
| 74 |
+
X_dataset = pd.DataFrame(X_dataset, columns=input_preprocessor.get_feature_names_out(), index=data.index)
|
| 75 |
+
# st.write(data.keys())
|
| 76 |
+
# st.write(input_preprocessor.get_feature_names_out())
|
| 77 |
+
rename_map = {
|
| 78 |
+
"yeo_minmax__RAD": "RAD",
|
| 79 |
+
"yeo_minmax__Relative_Humidity_2m": "Relative_Humidity_2m",
|
| 80 |
+
"yeo_minmax__PM10": "PM10",
|
| 81 |
+
"yeo_minmax__output": "output",
|
| 82 |
+
"yeo_minmax__Me": "Me",
|
| 83 |
+
"yeo_standard__Cloud_Cover": "Cloud_Cover",
|
| 84 |
+
"minmax__Temperature_2m": "Temperature_2m",
|
| 85 |
+
"minmax__wind_u": "wind_u",
|
| 86 |
+
"minmax__wind_v": "wind_v",
|
| 87 |
+
"minmax__Surface_Pressure": "Surface_Pressure",
|
| 88 |
+
"minmax__Ozone": "Ozone",
|
| 89 |
+
"minmax__tp": "tp",
|
| 90 |
+
"remainder__sin_hour": "sin_hour",
|
| 91 |
+
"remainder__cos_hour": "cos_hour",
|
| 92 |
+
"remainder__cos_day_of_year": "cos_day_of_year",
|
| 93 |
+
"remainder__sin_day_of_year": "sin_day_of_year"
|
| 94 |
+
}
|
| 95 |
+
X_dataset = X_dataset.rename(columns=rename_map)
|
| 96 |
+
|
| 97 |
+
# pro open meteo
|
| 98 |
+
features = ["Me", "output","tp","Relative_Humidity_2m", "Surface_Pressure", 'Cloud_Cover',
|
| 99 |
+
'sin_hour', 'cos_hour', 'cos_day_of_year', "sin_day_of_year", "wind_u", "wind_v", "Ozone", "PM10"]
|
| 100 |
+
future_features = ["Me", "tp", "Relative_Humidity_2m", "Surface_Pressure", 'Cloud_Cover', "wind_u", "wind_v", "Ozone", "PM10", 'sin_hour', 'cos_hour', 'cos_day_of_year', "sin_day_of_year"]
|
| 101 |
+
x = create_sequences_solarmon(X_dataset, window=24, horizon=24, past_features=features, future_features=future_features)
|
| 102 |
+
model = load_model_solarmon()
|
| 103 |
+
y_pred = model.predict(x) # predikce
|
| 104 |
+
y_pred_trans = np.array([output_scaler.inverse_transform(y_pred[:, i].reshape(-1, 1)).flatten() for i in range(y_pred.shape[1])]).T
|
| 105 |
+
|
| 106 |
+
y_pred_trans[y_pred_trans < 1] = 0
|
| 107 |
+
st.write("**Predikované hodnoty výkonu (kW) pro jednotlivé hodiny:**")
|
| 108 |
+
st.write(y_pred_trans, use_container_width=True)
|
| 109 |
+
|
| 110 |
+
my_plt = plot_solar_power_prediction(y_pred_trans, df_true=data[['output']])
|
| 111 |
+
st.pyplot(my_plt)
|
| 112 |
+
|
| 113 |
+
return None
|
preprocessing_functions.py
CHANGED
|
@@ -8,12 +8,24 @@ import joblib
|
|
| 8 |
from pathlib import Path
|
| 9 |
|
| 10 |
MODEL_PATH = "output_predictions_to_meteo_smape_25.keras"
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 11 |
|
| 12 |
@st.cache_resource
|
| 13 |
def load_model():
|
| 14 |
model = tf.keras.models.load_model(MODEL_PATH)
|
| 15 |
return model
|
| 16 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 17 |
@st.cache_resource
|
| 18 |
def load_transformers():
|
| 19 |
input_preprocessor = joblib.load('input_preprocessor_meteo_to_smape25.pkl')
|
|
@@ -21,6 +33,63 @@ def load_transformers():
|
|
| 21 |
|
| 22 |
return input_preprocessor, output_scaler
|
| 23 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 24 |
def create_sequences(data, window, horizon, past_features, future_features):
|
| 25 |
"""
|
| 26 |
Vytvoří sekvence vstupních dat a odpovídající cílové hodnoty pro trénování LSTM modelu.
|
|
@@ -64,26 +133,36 @@ def create_sequences(data, window, horizon, past_features, future_features):
|
|
| 64 |
|
| 65 |
return X
|
| 66 |
|
| 67 |
-
|
|
|
|
|
|
|
|
|
|
| 68 |
"""
|
| 69 |
Vytvoří graf predikce výkonu fotovoltaické elektrárny v průběhu dne.
|
| 70 |
|
| 71 |
Args:
|
| 72 |
y_pred_trans (numpy.ndarray): Pole s predikovanými hodnotami výkonu (kW) ve tvaru (1, 24).
|
| 73 |
-
|
|
|
|
|
|
|
| 74 |
Returns:
|
| 75 |
plt.Figure: Graf pro zobrazení.
|
| 76 |
"""
|
| 77 |
hours = np.arange(24)
|
| 78 |
|
| 79 |
plt.figure(figsize=(10, 6))
|
| 80 |
-
plt.plot(hours, y_pred_trans.flatten(), marker='o', label='
|
|
|
|
|
|
|
|
|
|
|
|
|
| 81 |
plt.xlabel('Hodiny (UTC)')
|
| 82 |
plt.ylabel('Výkon (kW)')
|
| 83 |
-
plt.title('Predikce
|
| 84 |
-
plt.xticks(hours)
|
| 85 |
plt.grid(True)
|
| 86 |
plt.legend()
|
| 87 |
|
| 88 |
return plt
|
| 89 |
|
|
|
|
|
|
| 8 |
from pathlib import Path
|
| 9 |
|
| 10 |
MODEL_PATH = "output_predictions_to_meteo_smape_25.keras"
|
| 11 |
+
MODEL_PATH_SOLARMON = "model_24h_base_on_Me_open_meteo_weather_predictions.keras"
|
| 12 |
+
|
| 13 |
+
MODEL_PATH_SOLARMON_HIST = "model_hist\model_24h_predictions_hist.keras"
|
| 14 |
+
|
| 15 |
+
TRANSFORMER_INPUT_PATH_HIST = "model_hist\input_preprocessor.pkl"
|
| 16 |
+
TRANSFORMER_OUTPUT_PATH_HIST = "model_hist\output_preprocessor.pkl"
|
| 17 |
|
| 18 |
@st.cache_resource
|
| 19 |
def load_model():
|
| 20 |
model = tf.keras.models.load_model(MODEL_PATH)
|
| 21 |
return model
|
| 22 |
|
| 23 |
+
@st.cache_resource
|
| 24 |
+
def load_model_solarmon():
|
| 25 |
+
# model = tf.keras.models.load_model(MODEL_PATH_SOLARMON)
|
| 26 |
+
model = tf.keras.models.load_model(MODEL_PATH_SOLARMON_HIST)
|
| 27 |
+
return model
|
| 28 |
+
|
| 29 |
@st.cache_resource
|
| 30 |
def load_transformers():
|
| 31 |
input_preprocessor = joblib.load('input_preprocessor_meteo_to_smape25.pkl')
|
|
|
|
| 33 |
|
| 34 |
return input_preprocessor, output_scaler
|
| 35 |
|
| 36 |
+
@st.cache_resource
|
| 37 |
+
def load_transformers_solarmon():
|
| 38 |
+
#input_preprocessor = joblib.load('input_preprocessor.pkl')
|
| 39 |
+
#output_scaler = joblib.load('output_preprocessor.pkl')
|
| 40 |
+
|
| 41 |
+
input_preprocessor = joblib.load(TRANSFORMER_INPUT_PATH_HIST)
|
| 42 |
+
output_scaler = joblib.load(TRANSFORMER_OUTPUT_PATH_HIST)
|
| 43 |
+
return input_preprocessor, output_scaler
|
| 44 |
+
|
| 45 |
+
import numpy as np
|
| 46 |
+
|
| 47 |
+
def create_sequences_solarmon(data, window, horizon, past_features, future_features):
|
| 48 |
+
"""
|
| 49 |
+
Vytvoří sekvence vstupních dat a odpovídající cílové hodnoty pro trénování LSTM modelu.
|
| 50 |
+
|
| 51 |
+
Parametry:
|
| 52 |
+
----------
|
| 53 |
+
data : pandas.DataFrame
|
| 54 |
+
DataFrame obsahující časové řady.
|
| 55 |
+
window : int
|
| 56 |
+
Počet časových kroků v minulosti.
|
| 57 |
+
horizon : int
|
| 58 |
+
Počet časových kroků do budoucnosti.
|
| 59 |
+
past_features : list
|
| 60 |
+
Seznam sloupců, které budou použity jako vstupní vlastnosti v minulosti.
|
| 61 |
+
future_features : list
|
| 62 |
+
Seznam sloupců, které budou použity jako vstupní vlastnosti v budoucnosti.
|
| 63 |
+
target : str
|
| 64 |
+
Název sloupce, který bude použit jako cílová hodnota.
|
| 65 |
+
|
| 66 |
+
Návratové hodnoty:
|
| 67 |
+
-------------------
|
| 68 |
+
X : numpy.ndarray
|
| 69 |
+
Pole tvaru (vzorky, window, past_features + future_features), obsahující sekvence vstupních dat.
|
| 70 |
+
y : numpy.ndarray
|
| 71 |
+
Pole tvaru (vzorky, horizon), obsahující odpovídající cílové hodnoty.
|
| 72 |
+
"""
|
| 73 |
+
|
| 74 |
+
# Vytvoření historických sekvencí (past_features)
|
| 75 |
+
X_past = np.lib.stride_tricks.sliding_window_view(
|
| 76 |
+
data[past_features].values, (window, len(past_features))
|
| 77 |
+
)[:-horizon, :, :]
|
| 78 |
+
|
| 79 |
+
X_past = np.squeeze(X_past, axis=1) # Výstup: (vzorky, window, len(past_features))
|
| 80 |
+
|
| 81 |
+
# Vytvoření budoucích sekvencí (future_features)
|
| 82 |
+
X_future = np.lib.stride_tricks.sliding_window_view(
|
| 83 |
+
data[future_features].values, (window, len(future_features))
|
| 84 |
+
)[horizon-1 : len(X_past) + horizon-1, :, :]
|
| 85 |
+
|
| 86 |
+
X_future = np.squeeze(X_future, axis=1) # Výstup: (vzorky, window, len(future_features))
|
| 87 |
+
|
| 88 |
+
# Spojení historických a budoucích proměnných do jednoho pole
|
| 89 |
+
X = np.concatenate([X_past, X_future], axis=2) # (vzorky, window, past_features + future_features)
|
| 90 |
+
|
| 91 |
+
return X
|
| 92 |
+
|
| 93 |
def create_sequences(data, window, horizon, past_features, future_features):
|
| 94 |
"""
|
| 95 |
Vytvoří sekvence vstupních dat a odpovídající cílové hodnoty pro trénování LSTM modelu.
|
|
|
|
| 133 |
|
| 134 |
return X
|
| 135 |
|
| 136 |
+
import numpy as np
|
| 137 |
+
import matplotlib.pyplot as plt
|
| 138 |
+
|
| 139 |
+
def plot_solar_power_prediction(y_pred_trans, df_true=None):
|
| 140 |
"""
|
| 141 |
Vytvoří graf predikce výkonu fotovoltaické elektrárny v průběhu dne.
|
| 142 |
|
| 143 |
Args:
|
| 144 |
y_pred_trans (numpy.ndarray): Pole s predikovanými hodnotami výkonu (kW) ve tvaru (1, 24).
|
| 145 |
+
df_true (pd.DataFrame, optional): DataFrame se skutečnými hodnotami výkonu.
|
| 146 |
+
Musí obsahovat sloupec 'output' s 24 hodnotami.
|
| 147 |
+
|
| 148 |
Returns:
|
| 149 |
plt.Figure: Graf pro zobrazení.
|
| 150 |
"""
|
| 151 |
hours = np.arange(24)
|
| 152 |
|
| 153 |
plt.figure(figsize=(10, 6))
|
| 154 |
+
plt.plot(hours, y_pred_trans.flatten(), marker='o', label='Predikce (kW)', color='tab:blue')
|
| 155 |
+
|
| 156 |
+
if df_true is not None and 'output' in df_true.columns and len(df_true) >= 24:
|
| 157 |
+
plt.plot(hours, df_true['output'].values[23:-1], marker='x', label='Skutečný výkon (kW)', color='tab:orange')
|
| 158 |
+
|
| 159 |
plt.xlabel('Hodiny (UTC)')
|
| 160 |
plt.ylabel('Výkon (kW)')
|
| 161 |
+
plt.title('Predikce vs. skutečný výkon FVE v průběhu dne')
|
| 162 |
+
plt.xticks(hours)
|
| 163 |
plt.grid(True)
|
| 164 |
plt.legend()
|
| 165 |
|
| 166 |
return plt
|
| 167 |
|
| 168 |
+
|