Optimal Decentralized Economical-sharing Scheme in Islanded AC Microgrids with Cascaded Inverters Lang Li, Huawen Ye, Yao Sun, Zhangjie Liu, Hua Han, Mei Su, Josep M. Guerrero 1 School of Information Science and Engineering, Central South University, Changsha 410083, China 2 Department of Energy Technology, Aalborg University, DK-9220 Aalborg East, Denmark * Correspondence: [email protected] ...

In this paper we show a zero point theorem for a certain meaningful class of correspondences on a discrete simplex, which is equivalent to Sperner’s lemma [Abh. Math. Sem. Univ. Hamburg 6 (1928) 265]. Also, we show a zero point theorem for correspondences on a discrete simplotope, which is derived from a Sperner-like theorem on the simplotope by van der Laan and Talman [Math. Oper. Res. 7 (1982...

An issue of considerable importance, both from a practical organizational standpoint and from a costs research perspectives, involves the allocation of /xed resources or costs across a set of competing entities in an equitable manner. Cook and Kress (Eur. J. Oper. Res. 119 (1999) 652) propose a data envelopment analysis (DEA) approach to obtain a theoretical framework for such cost allocation p...

Part selection and machine loading are two major problems in the production planning phase of the flexible manufacturing systems. The problems have a combinatorial structure and usually, in practice, it is difficult to deal with this kind of problems using a mathematical programming model. In this paper, the above problems are formulated as a mixed-integer programming model which is handled seq...

We consider the vehicle routing problem with stochastic demands (VRPSD). We give randomized approximation algorithms achieving approximation guarantees of 1 + for split-delivery VRPSD, and 2 + for unsplit-delivery VRPSD; here  is the best approximation guarantee for the traveling salesman problem. These bounds match the best known for even the respective deterministic problems [Altinkemer, K...

Learning in robotics has received more and more attention in recent years. It eases bridging the gap between low-level sensor data and high-level concepts. A high-level representation language is necessary in order to support the communication between robot and user in both directions when the robot navigates in unknown environments. Controlling robots in terms of a high-level representation fo...

Background and Objectives: Virtual inertia control, as a component of a virtual synchronous generator, is used for the implementation of synchronous generator behaviour in microgrids. In microgrids that include high-capacity distributed generation resources, in addition to virtual inertia, virtual damping can also lead to improvement of frequency stability of the microgrid. The purpose of the c...