In this paper, a hierarchical coordinated charging framework for PEVs across multiple aggregators is proposed. First, each aggregator computes its aggregate charging load boundaries based on customer charging requirements and local transformer capacity limits. With the load boundaries of...

This paper proposes a new coordination operation mode of wind farm (WF) and pumped-hydro-storage plant (PHSP) based on day-ahead wind power output forecasts. Firstly, a deterministic mixed integer programming (MIP) formulation is built considering the constraints of unit total startup and...

In this paper, Hunt’s hypothesis (H) and Getoor’s conjecture for Lévy processes are revisited. Let X be a Lévy process on Rn with Lévy–Khintchine exponent (a,A,μ). First, we show that if A is non-degenerate then X satisfies (H). Second, under the assumption that μ(Rn∖ARn)∞, we...

In this paper, we obtain a new generalization of Chebyshev’s inequality for random elements taking values in a separate Banach space.

Herein, we consider the nonlinear filtering problem for general right continuous Markov processes, which are assumed to be associated with semi-Dirichlet forms. First, we derive the filtering equations in the semi-Dirichlet form setting. Then, we study the uniqueness of solutions of the...