A Spectral Approximate Strategy for Energy Management of Hybrid AC/DC System With Uncertainty

Jing Li,Duo Xiao,Yonggang Peng,Yanjun Li,Wei Wei

doi:10.1109/access.2020.2989832

Abstract

High proportion of renewable energy and AC-DC hybrid structure are the challenges that the power system has faced. In order to cope with the high-dimensional uncertainties in the hybrid AC/DC system, this work developed a novel method of combining the uncertainty quantification and stochastic optimization to solve a hybrid AC-DC energy management problem. The problem is approximately reformulated by a conic quadratic optimization model, while a surrogate model of random variables and polynomial manipulation for a risk constraint are proposed to handle the tricky. Given a set of samples in the sparse random space generated by Smolyaks algorithm, thus the problem could be handled by using a high-performance solver. Simulation results verify that our proposed approach not only reduces the computational cost for energy management under uncertainties but also provides more accurate statistical information for risk assessment.

Highlights

With the rapid growth of the Distributed Generators (DG), uncertainty is becoming a big issue in power system operations and planning
This paper proposes a stochastic optimization framework for scheduling the controllable power to maximize the economic benefit over a period in the hybrid AC-DC power system
NUMERICAL RESULTS The proposed strategy is tested on the 33-buses benchmark example which has been modified to a hybrid AC-DC system

Summary

INTRODUCTION

With the rapid growth of the Distributed Generators (DG), uncertainty is becoming a big issue in power system operations and planning. Developing the uncertainty set based on the assessment of the underlying renewable power curtailment risks [7], the economic optimal solution is obtained for energy management in hybrid AC/DC system. Avoiding computationally expensive sampling, [13] proposed a first order polynomial description of uncertainty in the hybrid AC-DC system Applying this polynomial approximation of the random variables, it gives a new idea for solving the stochastic Optimal Power Flow (OPF) problem [14], [15]. The energy management problem of the hybrid AC-DC system is formulated as a multi-period AC-DC OPF with risk-based chance constraints It seeks economic optimal solution while considering the uncertainty over a finite operation horizon. A surrogate model of the tricky chance constraint and uncertainty in the economic dispatch problem is explored

STOCHASTIC OPTIMIZATION MODEL OF ENERGY MANAGEMENT

SPECTRAL APPROXIMATION OF UNCERTAINTY IN

SPARSE SPECTRAL STRATEGY

NUMERICAL RESULTS

CONCLUSION