Jorge Cortés
Professor
Cymer Corporation Endowed Chair
Learning stable local Volt/Var controllers in distribution grids
Z. Yuan, G. Cavraro, J. Cortés
Big Data Application in Power Systems,
ed. R. Arghandeh and Y. Zhou,
Elsevier, Oxford, UK, 2023, 2nd edition
Abstract
This chapter describes a framework to synthesize
provably stable local Volt/Var controllers for
distributed energy resources (DERs) in power
distribution grids (DGs). The goal is to control the
reactive power injections of DERs to improve the system
performance as quantified by a generic optimal reactive
power flow (ORPF) problem. To achieve this, we jointly
design for each DER the control function, which
prescribes the reactive power update rule, and the
equilibrium function, which approximates the ORPF
solutions from local measurements of voltages and
powers. We provide conditions on the equilibrium
functions and the control parameters ensuring the
stability of the closed-loop system. In particular, we
discuss the trade-offs between each set of conditions
accounting for practical considerations, like fully
exploiting the DERs' generation capabilities and
reducing the optimality gap. These conditions are then
translated into learning constraints on the neural
networks' parameters that are enforced in the training
phase. We validate our framework with numerical
simulations on the IEEE 37-bus network and through a
comparison with an optimized version of standard
piece-wise linear control rules.
pdf
Mechanical and Aerospace Engineering,
University of California, San Diego
9500 Gilman Dr,
La Jolla, California, 92093-0411
Ph: 1-858-822-7930
Fax: 1-858-822-3107
cortes at ucsd.edu
Skype id:
jorgilliyo