The scope of this book covers the modeling and forecast of renewable energy and operation and planning of power system with renewable energy integration.The first part presents mathematical theories of stochastic mathematics; the second presents modeling and analytic techniques for renewable energy generation; the third provides solutions on how to handle the uncertainty of renewable energy in power system operation. It includes advanced stochastic unit commitment models to acquire the optimal generation schedule under uncertainty, efficient algorithms to calculate the probabilistic power, and an efficient operation strategy for renewable power plants participating in electricity markets.
Stochastic Mathematics for Renewable Energy Analytics. Overview. Probability theory. Correlation and Copula theory. Dependent discrete convolution. Stochastic differential equation.Stochastic process and scenario.Summary. Long-term Uncertainty of Renewable Energy Generation. Overview. Long-term uncertainty analysis and modeling of wind power generation Long-term uncertainty analysis and modeling of photovoltaic. Case study. Summary. Short-term Uncertainty of Renewable Energy Generation. Overview. Copula based conditional forecast error modeling approach. Wind power short-term uncertainty modeling. Photovoltaic power short-term uncertainty modeling. Case Study. Summary. Short-term Renewable Energy Output Forecasting. Overview. Short-term forecasting framework. Data mining and calibration. An improved forecasting approach with adjustment of NWP Input. Case study. Summary. Renewable Energy Output Simulation. Overview. Wind power output simulation. Photovoltaic power output simulation. Case study. Summary. Finding Representative Renewable Energy Scenarios. Overview. Scenario reduction. Typical scenario and extreme scenario. Comparison and performance. Summary. Probabilistic Load Flow Under Uncertainty. Overview. Probabilistic load flow formulation. DDC based Probabilistic load flow model. High dimensional DDC method. Case study. Summary. Risk-based Stochastic Unit Commitment. Overview. Modeling risks of renewable energy integration. Risk-based stochastic unit commitment. Solving method of risk-based unit commitment. Case study. Summary. Managing Renewable Energy Uncertainty in Electricity Market. Overview. Optimal market bidding strategy. Optimal market bidding and reserve purchasing strategy. Optimal energy and reserve market joint bidding. Case study. Summary. Tie-Line Scheduling Under Uncertainty for Interconnected Power Systems. Overview. Idea and framework. Model formulation. Case study. Summary. Power System Operation Simulation. Considering Renewable Energy Integration. Overview. Power system operation simulation model considering Renewable Energy Integration. Impact of renewable energy integration on the thermal generation operating cost variation. Wind power accommodation analysis based on operation simulation. Pumped storage planning based on operation simulation. Summary. Capacity Credit of Renewable Energy. Overview. DDC based capacity credit calculation. Analytical model of renewable energy capacity credit. Case study. The impact of special correlation on the renewable energy capacity credit. Summary. Renewable Energy Planning Optimization. Overview. Ordinal optimization method. Optimal planning of renewable energy considering capacity credit. Case study. Summary. Generation Expansion Planning Considering Renewable Energy Integration. Overview. Idea and framework. Uncertainty modeling. Model formulation. Case study. Summary. Transmission Expansion Planning Considering Renewable Energy Integration. Overview. Idea and framework. Uncertainty modeling. Model formulation. Case study. Summary.