This paper proposes a new distance-based distributionally robust unit commitment (DB-DRUC) model via Kullback-Leibler (KL) divergence, considering volatile wind power generation. The objective function of the DB-DRUC is to minimize expected cost under worst case distributions restricted in an ambiguity set. set family within fixed distance from nominal distribution. between two measured by KL divergence. "min-max-min" programming model; thus, it intractable solve. Applying reformulation...

Integrated energy systems (IESs), in which various flows are interconnected and coordinated to release potential flexibility for more efficient secure operation, have drawn increasing attention recent years. In this article, an integrated management system (IEMS) that performs online analysis optimization on coupling IES is comprehensively introduced. From the theory perspective, circuit method (ECM) models natural gas networks heating frequency domain discussed. This extends electric...

The decentralized unit commitment problem (DUCP) solved by autonomous distributed agents has been studied many researchers. Several methods based on traditional optimization approaches have proposed for solving the DUCP. However, these existing do not determine (UC) decisions in a manner or cannot theoretically guarantee convergence and optimality. This paper proposes method formulating DUCP using recently published parallelizable augmented Lagrangian method, referred to as SDM-GS-ALM....

Using thermal inertia in district heating systems (DHSs) to improve the dispatch flexibility and economy of integrated heat electricity (IHESs) is a research hotspot difficulty. In most existing studies, partial differential equations (PDEs) are approximated by discrete-time models, making it difficult accurately describe continuous dynamic processes. this paper, we propose novel generalized phasor method (GPM) for DHSs with constant mass flow. Based on analytical solution PDEs Fourier...

Novel chitosan/Fe3O4 composite beads were prepared and used for the removal of Cu(II) ions from aqueous solution. The effect initial pH, metal ion concentration temperature on sorption capacity was investigated. kinetics isotherms analysed by intra-particle diffusion model Langmuir, Freundlich Slips models, respectively. results showed that rate-limiting step during whole process. maximum chitosan 121.9 mg/g (192.6 chitosan) at pH 5.0, increased with increasing temperature, indicating...

This paper presents an extension of the Electric Vehicle Routing Problem with Time Windows and Partial Recharges (EVRPTW-PR), which incorporates use parcel lockers as a delivery method (i.e., self-pickup method). variant, named electric vehicle routing problem time windows, partial recharges, (EVRPTW-PR-PL), focuses on minimizing costs by employing homogeneous fleet vehicles (EVs) providing two methods for serving customers: home methods. We derive mathematical formulation propose adaptive...

In response to the challenges of energy efficiency, carbon dioxide abatement and renewable integration, a concept called multi-energy was presented. Some industrial parks have been built or are being in China. This paper proposes novel demand (DR) program park. The mutual conversion between various forms can improve flexibility dispatch. Both electricity-based heat-based DR programs considered this paper, where factories park encouraged reduce electricity load increase heat load,...

The optimal power flow (OPF) is a non-linear and non-convex problem that seeks the optimization of system operation point to minimize total generation cost or transmission loss. In this paper, an formulation for radial networks proposed from bus injection model. By inducing branch variables in model, relaxation based on, instead big network structure, small matrices. Through two steps, it transforms quartic constraints into some linear equations convexifies other which cannot be linearized....

We address the problem of online resource allocation in a distributed environment where requests arrive dynamically over time at different agents network. As each request arrives, receiving agent must make an immediate decision that incurs cost and consumes certain amount resources. The are drawn independently from unknown distributions for agent. First, we present consensus alternating direction method multipliers (OC-ADMM) algorithm dual counterpart problem, focusing on variables. Then,...

Currently, most district heating networks are running in a heat-setting mode, limiting the adjustment of electrical power combined heat and (CHP) units. By considering system (EPS) (DHS) together, peak regulatory capability CHP units can be improved renewable energy accommodation promoted. In this paper, tractable integrated electricity dispatch (IHED) model is described that addresses thermal dynamic characteristics pipelines buildings to increase flexibility. To deal with complexity...

Load flow optimization focuses on the optimal operation and control of power system, which is a nonlinear nonconvex problem. And problems in meshed networks are common but hard to solve because angle constraints. In order this problem, convex model proposed paper. The load relaxed be by two steps. first step, new variables taken reformulate second equality constraints into second-order cone With model, exact solutions can obtained for global optimum guaranteed. Especially, phase voltage...

Taking into account default risk in the valuation of financial derivatives has become increasingly important, especially after 2007-2008 crisis. Under some assumptions, derivatives, including a value adjustment to for (the so-called XVA), gives rise nonlinear PDE. We propose numerical methods handling nonlinearity this PDE, most efficient which are discrete penalty iteration methods. first formulate method case European contingent claims, and study its convergence. then extend American...

Accounting for default risk in the valuation of financial derivatives has become increasingly important, especially since 2007–8 crisis. Under some assumptions, derivatives, including a value adjustment to account (the so-called XVA), gives rise nonlinear partial differential equation (PDE). We propose numerical methods handling nonlinearity this PDE, most efficient which are discrete penalty iteration methods. first formulate method case European contingent claims and study its convergence....

Using thermal inertia in district heating systems (DHSs) to improve the dispatch flexibility and economy of integrated heat electricity (IHESs) is a research hotspot difficulty. In most existing studies, partial differential equations (PDEs) are approximated by discrete-time models, making it difficult accurately describe continuous dynamic processes. this paper, we propose novel generalized phasor method (GPM) for DHSs with constant mass flow. Based on analytical solution PDEs Fourier...