Time series may exhibit multiple seasonalities, e.g., retail sales have intra-weekly and yearly seasonality, and electricity load (and price) has intra-daily, intra-weekly and yearly seasonality.
One standard way of modeling and forecasting time series with multiple seasonalities is the TBATS model (De Livera, Hyndman & Snyder, 2011, JASA). It is implemented in the
tbats() function in the
forecast package for R. See the related tbats tag.