This work introduces a novel polynomial chaos expansion (PCE)-based method for
uncertainty quantification (UQ) in power systems, addressing probabilistic optimal power …

This paper investigates the stochastic linear quadratic (LQ, for short) optimal control problem
of Markovian regime switching system. The representation of the cost functional for the …

In this paper, we study the solvability of anticipated backward stochastic differential
equations (BSDEs, for short) with quadratic growth for one-dimensional case and multi …

The complexity and randomness of the power system with distributed energy resources
have led to the difficulties for fast optimal power flow (OPF) analysis. As a remedy, in this …

This paper is concerned with a linear-quadratic (LQ, for short) optimal control problem for
backward stochastic differential equations (BSDEs, for short), where the coefficients of the …

This paper is concerned with a constrained stochastic linear-quadratic optimal control
problem, in which the terminal state is fixed and the initial state is constrained to lie in a …

This paper introduces, to the best of our knowledge, the first quantum computing
methodology for stochastic power flow. Stochastic power flow is widely used in power …

This paper introduces quantum computing methods for Monte Carlo simulations in power
systems which are expected to be exponentially faster than their classical computing …

This paper studies uniform stabilization and social optimality for linear quadratic mean field
control systems with common noise, where the coefficients in individual dynamics and costs …

Nowadays, the high fluctuations of the wind products causing large-scale energy systems
are operated at their stability margins. In a gas-power interconnected system, if the wind …