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Short-term Load Forecasting based on Neural network and Local Regression Jie Bao a  Ellen Maxon b   Vasant Honavar c   ac Artificial Intelligence Lab,  Dept of Computer Science Iowa State University,  Ames, IA, 50010  baojie,honavar@cs.iastate.edu b Power Domain, Inc 7575 Palos Verdes Reno, Nevada 89502, ceo@powerdomain.com  Abstract : Accurate short term load forecasts (STLF) are of significant financial implication for the utility industry as well as the consumers. We used a multi-stage approach to solving the STLF problem. Initially, when little is known about for the exact form of the load function  f , a neural network is used to uncover predictive relationships between input and output.  The resulting neural network is examined to identify factors that are most meaningful in STLF.  A linear model is constructed using the identified factors leading to a Local Regression model (with Moving Average as a special case). We then explore a Neural Network (NN) model that refines the linear regression model further, with the result from Local Regression (LR) as guidance for the training of the neural network. Best day-ahead result from a combination model of  LR+NN is 2.70% error The results demonstrate the usefulness of a multi-step iterative refinement approach to model building in solving complex problems such as STLF . ,[object Object],[object Object],[object Object],[object Object],[object Object],2 What may be the influential factors in STLF Summer winter winter ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Day 1 Day 4 Week 1 Week 5 Temperature and Humidity Normalized average load and temperature  (dashed line) for every week Linear regression of weekly average temperature and load Overlapped influence Of calendar and weather  Winter Summer Temperature shifting 3 How to do the forecasting ? Find the function  f - it is complex and unknown, but really  existent and consistent  : L f (t) = f(L(t),L(t-1),…L(t-k),c,w,e) f Load History [L] Calendar [c] Weather [w] Others [e] Forecasted Load [L f ] ? 4 Black box model: Neural Network   -  with little  expertise knowledge  is known It’s a common and naïve way  as treating the problem as a time series forecasting problem, and function approximation. Ensemble network is used to reduce model bias  INPUTs:  hour , real/forecasted temperature , load history, weekend, weekday OUPUT: load of the future  Day-ahead model : Best result  5.45% error Hour-ahead model: Best Result 1.53% ,[object Object],[object Object],[object Object],[object Object],[object Object],5 White box model 1 :  Moving Average    -  with knowing something Long-range influence:   L i   is load at past reference point, eg. a week  ago , w i  is its weight  -  all calendar information is well kept. Short-range influence:   Temperature shifting and error feed back is applied Day-ahead model : Best result  3.54% error 6 White box model 2 :  Local Regression    -  with load pattern is somehow clear ,[object Object],[object Object],Lr(n) and k(n) are the constant and linear order coefficients for given time n ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],7 Hybrid  model: Neural Network plus Local Regression    -  there still factors we don’t clear ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Comparison  NN:  5.45% MA:  3.54% LR:  3.22% NN+LR:  2.97% NN+LR + no errFeedBack:  2.70% More on http://www.public.iastate.edu/~baojie/pub/2002-10-25_stlf.ppt.pdf ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],… … … … … … Load History Calendar Information   Weather Information   Forecasted Load

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