This paper proposes a method of mixed integer linear programming (MILP) based on node state variable optimization, aiming at achieving the optimal restoration strategy for distribution system reasonably and quickly. F...
详细信息
ISBN:
(纸本)9781538614280
This paper proposes a method of mixed integer linear programming (MILP) based on node state variable optimization, aiming at achieving the optimal restoration strategy for distribution system reasonably and quickly. First, the concept of node state variable is put forward, which has node property and power source property. On this basis, the relationship between node state variable and switch state variable is expressed as a linear function, namely switch state linear model. Secondly, by using linearization method, current and voltage linear equations based on Kirchhoff's law are obtained. In the equations, state variables such as node voltage and branch current are bound by node state and switch state variables. Finally, the MILP model of optimal power flow in distribution system is built, whose objective function is minimizing both the loss of load and the number of switching operations. The simulation verifies the rationality and validity of the proposed model.
We propose a novel randomized linear programming algorithm for approximating the optimal policy of the discounted Markov decision problem. By leveraging the value-policy duality and binary-tree data structures, the al...
详细信息
In this paper, ellipsoid method for linear programming is derived using only minimal knowledge of algebra and matrices. Unfortunately, most authors first describe the algorithm, then later prove its correctness, which...
详细信息
Load disaggregation based on aided linear integer programming (ALIP) is proposed. We start with a conventional linear integer programming (IP)-based disaggregation and enhance it in several ways. The enhancements incl...
详细信息
Load disaggregation based on aided linear integer programming (ALIP) is proposed. We start with a conventional linear integer programming (IP)-based disaggregation and enhance it in several ways. The enhancements include additional constraints, correction based on a state diagram, median filtering, and linear-programming-based refinement. With the aid of these enhancements, the performance of IP-based disaggregation is significantly improved. The proposed ALIP system relies only on the instantaneous load samples instead of waveform signatures and, hence, works well on low-frequency data. Experimental results show that the proposed ALIP system performs better than conventional IP-based load disaggregation.
We revisit the linear programming approach to deterministic, continuous time, infinite horizon discounted optimal control problems. In the first part, we relax the original problem to an infinite-dimensional linear pr...
详细信息
Random projections are random linear maps, sampled from appropriate distributions, that approximately preserve certain geometrical invariants so that the approximation improves as the dimension of the space grows. The...
详细信息
Most linear algebra kernels in interior point methods for linear programming require the solution of linear systems of equation with the matrix N = AT D−1A (or AD−1AT ), where A denotes the constraint matrix of the li...
详细信息
In this paper we investigate a high dimensional version of Selberg’s minorant problem for the indicator function of an interval. In particular, we study the corresponding problem of minorizing the indicator function ...
详细信息
The simplex algorithm for linear programming is based on the fact that any local optimum with respect to the polyhedral neighborhood is also a global optimum. We show that a similar result carries over to submodular m...
详细信息
暂无评论