arXiv subjects

Haibo Lan

Publications and source records attributed to Haibo Lan.

3 recordsLinked to original sources

arXiv2019

An Efficient MILP Formulation of Economic Dispatch with Adjustable Transformer Ratio and Phase Shifter

In this short paper, we study the economic dispatch with adjustable transformer ratio and phase shifter, both of which, along with the transmission line, are formulated into a generalized branch model. Resulted nonlinear parts are thereafter exactly linearized using the piecewise liner technique to make the derived ED problem computationally tractable. Numerical studies based on modified IEEE systems demonstrate the effectiveness of the proposed method to efficiency and flexibility of power system operation.

math.OC↗

arXiv2018

Investigating Continuous Power Flow Solutions of IEEE-14 Bus System

This letter focuses on the multiplicity of power flow (PF) equations and presents two continuous solutions for widely studied IEEE-14 bus system. The continuous solutions are located by a method combining the semidefinite program (SDP) relaxation and reformulation linearization technique (RLT). Although the observation is non-trivial, it is of interest to researchers investigating the geometry or multiplicity nature of PF equations.

math.OC↗

arXiv2018

Estimating Lower Probability Bound of Power System's Capability to Fully Accommodate Variable Wind Generation

As the penetration of wind generation increases, the uncertainty it brings has imposed great challenges to power system operation. To cope with the challenges, tremendous research work has been conducted, among which two aspects are of most importance, i.e. making immune operation strategies and accessing the power system's capability to accommodate the variable energy. Driven and inspired by the latter problem, this paper will discuss the power system's capability to accommodate variable wind generation in a probability sense. Wind generation, along with its uncertainty is illustrated by a polyhedron, which contains prediction, risk and uncertainty information. Then, a three-level optimization problem is presented to estimate the lower probability bound of power system's capability to fully accommodate wind generation. After reformulating the inner \emph{max-min} problem, or feasibility check problem, into its equivalent mixed-integer linear program (MILP) form, the bisection algorithm is presented to solve this challenging problem. Modified IEEE systems are adopted to show the effectiveness of the proposed method.

math.OC↗