The importance of solar energy has been growing in recent years. This raises the need for efficient modelling and forecasting methods. The existing methods are predominantly based on weather predictions or forecast solar radiation, which is not easy to convert into production forecast. Instead...

We do comparison between maximal and daily average production of photovoltaic (PV) and wind energy based on a transmission operator in Germany by using statistical analysis with di erent seasonality function. We adopt sun intensity as a seasonal function for PV and trigonometric function for...

This article analyses the dependence between electricity spot prices and the wind penetration index in the European energy market. The wind penetration index is given by the ratio of the wind energy production divided by the total electricity production. We find that the wind penetration has an...

We introduce a new mathematical model of electricity spot prices which accounts for the most important stylized facts of these time series: seasonality, spikes, stochastic volatility and mean reversion. Empirical studies have found a possible fifth stylized fact, roughness, and our approach...

We introduce a three-factor model of electricity spot prices, consisting of a deterministic seasonality and trend function as well as short- and long-term stochastic components, and derive a formula for futures prices. The long-term component is modelled as a Lévy process with increments...

Spot electricity prices are very volatile, particularly due to the fact that electricity cannot be economically stored and requires immediate delivery. However, the inability to store electricity means that fluctuations in demand and supply are often transmitted directly into spot prices of...

The rapid worldwide growth of renewable energy has been largely underpinned by government support over the past decade. The need for subsidy is fading as the cost of electricity from renewables converges with that from fossil fuels, but the withdrawal of support schemes will also remove the...

We conduct an empirical analysis of three recently proposed and widely used models for electricity spot price process. The first model, called the jump-diffusion model, was proposed by Cartea and Figueroa (2005), and is a one-factor mean-reversion jump-diffusion model, adjusted to incorporate...

Electricity price forecasting has become an area of increasing relevance in recent years. Despite the growing interest in predictive algorithms, the challenges are difficult to overcome given the restricted access to relevant data series and the lack of accurate metrics. Multiple models have...