Title: Real-Time Electricity Demand Forecasting
1Real-Time Electricity Demand Forecasting
QING-GUO WANG Distinguished Professor
Institute of Intelligent Systems
(IIS) University of Johannesburg (UJ)
Feb 23, 2016
2Outline
- Motivation
- Popular Models Simulation Results
- Refinements Simulation Results
- Modeling with Weather Data
- Applications
- Conclusions
3Motivation
- Accurate electricity demand forecasting for
certain leading time is vitally important for the
power system scheduling and operating and
satisfaction of consumers.
- Electricity demand is a time-sequence signal with
evident seasonal patterns property, but some
factors such as weather, public holidays etc.
will affect the electricity demand.
- The common electricity demand forecasting models
could be divided as time-series models,
regression models, decomposition models and ANN
models etc.
- Singapore is a typical tropical nation which is
different from many other countries, thus the
research of electricity demand forecasting in
Singapore has special significances.
4Singapore in the World
5Motivation
- This is the electricity demand of Singapore over
2004-2014.
Electricity demand time series of Singapore (Jan,
2004-Jan, 2014) with half hourly sampling time.
Partial electricity demand time series of
Singapore in normal days.
6Popular Models
- In naive model, current demand is forecasted by
the same time of last seasonal period, and its
general form is
where and are the forecasting
demand and actual demand at time , and is
the selected seasonal pattern length.
- 2. HWT Exponential Smoothing Model
- The triple HWT model is descripted by the
following equations
where is the smoothed level electricity
demand, and is the trend of electricity
demand. are the seasonal terms of
daily pattern, weekly pattern and yearly pattern,
are respective smoothing parameters.
7Popular Models
- 3. Autoregressive Moving-average (ARMA) Model
- ARMA model is a general class of forecasting
model that uses lags in the series
(auto-regressive terms) and/or forecast errors
(moving-average terms) to perform the prediction.
where and are the level term and trend
term respectively. is the lag operator
are
polynomial functions of backshift operator of
order
respectively is the while noise.
- 4. Artificial Neural Network (ANN)
- ANN is a powerful nonlinear approximator and
widespread used in time series modeling and
forecasting.
8Simulation Results with Popular Models
- To evaluate the proposed models, the forecasting
accuracy is evaluated by the absolute percentage
error (APE) and the maximal absolute percentage
error (MAPE) which are given by
where m is No. of specific days with largest
demand forecasting error.
The results are shown below
APE and MAPE of demand forecasting in naive model
APE and MAPE of demand forecasting in HWT model
9Simulation Results with Popular Models
Simulation results
APE and MAPE of demand forecasting in ARMA model
APE and MAPE of demand forecasting in ANN model
Conclusion From the four simulation results, the
triple-seasonal HWT model yields the least APE
error.
10Refined HWT Model
- Refine the HWT model to yield better forecasting
results.
Refinement procedures
- Before next-day demand forecasting, the actually
current demand value and its forecasting error
would have been known, therefore this latest
forecasting error can be used to improve the
model forecasting accuracy.
Old forecasting
New forecasting
and the parameters
as well as are selected together
through GA algorithm.
11Refined HWT Model
This refinement brings forecasting accuracy
improvement.
APE and MAPE of prediction of refined HWT model.
12Room for better modeling
- Modeling with weather data
- In Singapore, almost 50 of the total electricity
demand is used for cooling air-conditioning.
- The temperature, humidity, cloud, wind etc. are
the most important weather factors that affect
electricity demand
- Thus electricity demand forecasting with weather
data will increase the forecasting accuracy.
13 Model with Weather Data Method
- Suppose that the electricity forecasting errors
is partially due to the variation of the weather,
so the current weather data (as input) and the
forecasting errors (as output) are trained with
neural network.
- Further, the future weather data (weather
forecasting) are used in neural network model
14 Model with Weather Data Results
This model with weather data reduces forecasting
errors within 1.
APE and MAPE of prediction of refined HWT model.
15NRF Energy Innovation Research Programme Power
Generation Grant Call 2013
An Integrated Solution for Optimal Generation
Operation Efficiency Through Dynamic Economic
Dispatch
Lead PI Prof. Wang Qing-Guo Institution/Coy/Or
g National University of Singapore Collaborator
s Mr Tan Kok Poh , YTL PowerSeraya Dr
Liu Jidong, YTL PowerSeraya Dr Yu Ming,
Power Automation Project Duration 36
months Funding
gt2,000,000
16OBJECTIVES
- The proposed integrated solution maximizes
efficiency/profitability of power
generation/supply while meeting the demand in
real time. - Technically, we develop a true dynamic economic
dispatch (DED) formulation for unknown loads, its
solution and field implementation. With real time
sensing, and both supply and demand modelling,
the optimization will produce the optimal plant
operation modes and settings which give the
highest efficiency of the overall system and are
fed back to the plants for actual execution. It
will also monitor plant conditions in real time. - Economically, the highly scalable and innovative
condition monitoring and control solution for
Gencos will enable a spin-off from the project to
monetize through extensive commercialization in
global markets. Apparently, the efficiency
solution of this project is applicable to YTL
PowerSeraya as well as other GenCos and has great
technical and commercial values. - Main deliverable is a sophisticated integrated
solution system for optimal real time dynamic
bidding and load dispatch, which currently does
not exist.
1
17APPROACH
- subject to
- demand constraint
- the operation constraints in terms of
inequalities. - two dynamic equations governing transients of
supply (plants) and demand (market), respectively.
2
PowerGenGC ltProject Title, PIgt
18Technical Methods
- Dynamic demand modelling data mining dominates
in the literature, while we present a new method
with multiple resolutions/physical
variables/stochastic input selection methods to
forecast both energy/heat demands and their price
changes over time. - Dynamic plant modelling the steady state models
are in the literature, while we propose a hybrid
modelling to obtain dynamic plant models by
adding dynamics to the first principle static
models and estimating both state and parameters
together. - DED solution method we develop a new iterative
algorithm for solving this mixed integer
programing problem. In each iteration, use some
convex optimization technique when some
parameters fixed and some search techniques to
update the values of these parameters. - Real time implementation with big data
technology. - Field testing at power plants to show actual
energy efficiency/profit enhancement.
2
PowerGenGC ltProject Title, PIgt
19Building Efficiency and Sustainability in the
Tropics (SinBerBEST)Costas J. SpanosAndrew S.
Grove Distinguished Professor and Chair, Dept of
EECS, UC Berkeley
20Conclusions
- The electricity demand forecasting for Singapore
with different typical models are compared, and
it is found that the HWT model yields the least
absolute percentage error. - The HWT model is refined with error feed to
achieve better forecast accuracy. - The weather data is used in ANN based error
modeling to give the best forecast accuracy - The demand modeling has significant applications
in both generation and consumption sides.
21Q A