# Evaluation of Centralized and Distributed Microgrid Topologies   Considering Power Quality Constraints

**Authors:** Hallie Dunham, Dylan Cutler, Sakshi Mishra, Xiangkun Li

arXiv: 1908.00642 · 2020-09-15

## TL;DR

This paper extends the REopt model to incorporate power quality constraints in the design of hybrid mini-grids, enabling integrated economic and power quality analysis for optimal system sizing and configuration.

## Contribution

It introduces a novel extension of the REopt model to consider multi-node power flow and power quality constraints within a unified techno-economic optimization framework.

## Key findings

- Interconnected mini-grids can be more cost-effective than isolated ones under certain conditions.
- The extended model accurately predicts power flow and voltage magnitudes in mini-grid configurations.
- Design guidelines for mini-grids in Sub-Saharan Africa are derived from the model simulations.

## Abstract

Integration of renewable generation and energy storage technologies with conventional generation supports increased resilience, lower-costs, and clean energy goals. Traditionally, energy supply needs of rural off-grid communities have been addressed with diesel-generation. But with rapidly falling renewable generation costs, mini-grids are transforming into hybrid systems with a mix of renewables, energy storage, and diesel-generation. Optimal design of hybrid mini-grid requires an understanding of both the economic and power quality impacts of different designs. Existing approaches to modeling distributed energy resources address the economic viability and power quality impacts via separate/loosely coupled models. Here, we extend REopt - a techno-economic optimization model developed at National Renewable Energy Laboratory - to consider both within a single model. REopt formulates the design problem as a mixed-integer linear program that solves a deterministic optimization problem for a site's optimal technology mix, sizing, and operation to minimize life cycle cost. REopt has traditionally not constrained the power injection based on power quality. In the work presented here, we expand the REopt platform to consider multiple connected nodes. In order to do this, we model power flow using a fixed-point linear approximation method. Resulting system sizes and voltage magnitudes are validated against the base REopt model, and solutions of established power flow models respectively. We then use the model to explore design considerations of mini-grids in Sub-Saharan Africa. Specifically, we evaluate under what combinations of line length and line capacity it is economically beneficial (or technically required based on voltage limits) to build isolated mini-grids versus an interconnected system that benefits from the economies of scale associated with a single, centralized generation system.

---
Source: https://tomesphere.com/paper/1908.00642