Simple Science

Cutting edge science explained simply

# Mathematics # Optimization and Control # Systems and Control # Systems and Control

Improving Energy Stability with Home Batteries

Using batteries in homes can enhance energy reliability and reduce costs.

Janik Pinter, Frederik Zahn, Maximilian Beichter, Ralf Mikut, Veit Hagenmeyer

― 8 min read


Home Batteries for Better Home Batteries for Better Energy and cut costs. Batteries improve energy reliability
Table of Contents

As more people use green energy sources like solar and wind power, the electricity Grid faces some serious challenges. These energy sources are great for the planet but can be a bit unpredictable. Just like trying to predict the weather, relying on these energy sources can make it hard to maintain a stable electricity supply. But don't worry-there's a way to stay organized, not unlike having a calendar for our chaotic lives.

One solution is using Batteries in homes, especially those equipped with Solar Panels. These batteries can help smooth out the bumps caused by unexpected spikes or drops in power generation and consumption. Think of it like having a trusty backpack to hold your snacks for a long hike-it's handy when you need a little extra energy along the way. This article will break down how we can use these batteries to make our energy systems more reliable and economical.

The Challenge of Renewable Energy

Renewable energy sources are like that enthusiastic friend who sometimes oversells their talents. While they bring a lot of good, they can also create chaos. Solar energy is great during sunny days, but once the clouds roll in, things can get tricky. The electricity grid has traditionally relied on large power plants that can adjust their output based on demand. But with more homes using solar panels, we see less control over production. It's like trying to balance a seesaw where one side keeps bouncing up and down.

To pull this off, we're looking into different ways to provide flexibility and manage Uncertainties in the grid system. Here are three levels we focus on:

  1. Grid Level: This is like the big league, where we need large balancing systems and storage facilities to keep everything steady.

  2. Subgrid Level: Here, we have microgrids that work with local renewables and manage energy use to ensure we're not overly dependent on the main grid.

  3. Individual Units: Every home can also play a part. People can reduce uncertainty in energy use by effectively scheduling when they consume energy and when their batteries charge.

What's in the Bag?

As more homes adopt solar panels and battery storage systems, it's vital to find the best way to connect them to the overall power system. This includes managing the uncertainty that comes with predicting how much energy a household will consume or generate. Batteries have a lot of potential to fill in those gaps, like having a friend who always brings an extra snack when you're hungry.

But we need to make sure that we handle how these batteries operate systematically. That's where the fun begins! We can create a schedule to optimize their usage, which helps reduce reliance on the grid when it might not be performing at its best.

Related Work

Several people have proposed different methods to optimize how batteries are scheduled in homes. The two critical areas of focus are:

  1. How we include uncertainties: Whether it's about energy generation, energy use, or even costs, figuring out how to deal with these uncertainties is key.

  2. What goals we aim for: This can vary widely, but the bottom line usually comes down to optimizing costs or maximizing energy independence.

Let’s dive into how we can approach this challenge.

Common Strategies

One popular method to address uncertainties is Robust Optimization (RO). In short, this strategy aims to keep things running smoothly even in the worst-case scenarios. It does this by assuming uncertain parameters in fixed limits and planning accordingly. But this method often leans towards the extreme ends of the scale, which isn't always the most efficient way to operate.

On the other side of the coin, scenario-generation techniques aim to create a range of possible outcomes that can happen based on uncertain factors. This approach helps create a more detailed picture of potential risks but can be computationally heavy.

However, these methods can sometimes miss out on the actual uncertainties that creep into the optimization process. So, we’re trying to find a way that not only aims for optimal battery scheduling but also takes into consideration how much uncertainty can be shared between the batteries and the grid.

Enter Stochastic Programming (SP)

In our study, we found that using Stochastic Programming (SP) gives us a way to represent uncertainties as random variables that have known patterns. This means we can anticipate how these uncertainties will propagate through the system, just like how a pebble tossed into a pond creates ripples.

It’s worth noting that SP has its limitations, like needing to know the underlying patterns of the uncertainties, which can sometimes lead us into murky waters. To dive deeper into these issues, we can also consider Distributionally Robust Optimization (DRO), which takes a more cautious approach. Instead of relying on a single distribution, it looks at a series of possible patterns to prepare for the worst-case scenarios. But even this method has its challenges since the worst possible scenarios aren't always straightforward to identify.

Cost Reduction

In any system, saving money is always a top priority. For battery systems, this usually aligns with operations like reducing peak demand, shifting loads, and maximizing self-sufficiency.

But it’s equally important to consider other features, like communicating with the grid operator about expected power exchanges. This proactive approach is akin to giving your friend a heads-up about your snack preferences before heading out on a hike.

Model Overview

Here, we break down our innovative model that allows for a more shared understanding of uncertainties between battery systems and the grid.

System Components

We primarily focus on residential homes equipped with both solar panels and battery storage systems. These setups can help ensure a steady energy flow. We take a closer look at how the battery systems can be scheduled to accommodate varying demands and supplies, thus aiding in balancing out the electricity flows.

Uncertainty Sharing

The main idea is to divide the uncertain power consumption into two parts: one that the batteries will manage and another that will flow into the grid. By doing this, we can introduce some flexibility into how energy is used while ensuring both systems stay in harmony.

Setting the Stage

System Dynamics

We map out how energy flows within a household, integrating Energy Consumption, generation, battery storage, and grid supply into a cohesive whole. By doing so, we ensure that all systems are working together, rather like a well-rehearsed dance.

Uncertainty Modeling

We treat energy consumption and production as a random variable, meaning that we can determine the average expected power exchange over a certain timeframe. Uncertainties are then partitioned into expected values and deviations, which helps us establish a clearer picture of the grid's performance.

Optimizing Battery Scheduling

The goal here is to design an optimization framework that utilizes the unique capabilities of the batteries while managing uncertainties efficiently.

Decision Variables

The model introduces an array of decision variables that include battery power, expected consumption, and power exchange with the grid. By identifying and optimizing these variables, we can create a smoother flow of energy throughout the household and the wider grid.

Applied Cases

To demonstrate how our model works, we present three scenarios based on real-world data. Each case highlights a different approach, aiming to minimize electricity costs while keeping uncertainties manageable.

Case 1: Focus on Cost Reduction

In this scenario, the main goal is to minimize electricity costs by improving self-sufficiency. Expecting high solar production during the day, the model optimizes battery usage accordingly. Since the emphasis is solely on saving money, uncertainties shift toward the grid.

Case 2: Balancing Costs and Grid Support

Here, we still aim to minimize costs, but we add a secondary focus on reducing uncertainties in the grid. This means that while the batteries still work to optimize costs, they also help stabilize the grid during periods of uncertainty.

Case 3: Flexibility during Critical Times

The last case involves prioritizing cost reduction while actively providing support to the grid during high-demand situations. During these key periods, the battery works to minimize deviations from expected usage, ensuring that the electricity flow remains stable.

Results and Discussion

The outcomes of these scenarios provide rich insights into how our model can function in real-world applications.

Case 1 Insights

By focusing solely on cutting costs and improving self-sufficiency, we can achieve a deterministic schedule. All uncertainties are shifted to the grid, allowing for a straightforward approach, but at the cost of overall flexibility.

Case 2 Findings

In this case, we manage to reduce upward grid uncertainties while minimizing electricity costs. The optimal balance offers more flexibility without sacrificing financial concerns-an ideal scenario for homeowners.

Case 3 Analysis

This case showcases how prioritizing support for the grid during critical times has its trade-offs. While homeowners can save on electricity costs, they may have to sacrifice some self-sufficiency.

Conclusion

This work illustrates how the right scheduling approach can empower homeowners to actively support grid stability while managing their energy costs. By allowing for a well-planned sharing of uncertainties between battery systems and the grid, we create a more balanced energy landscape.

Moving forward, there’s a lot of potential to refine this model further. By extending it for intra-day scheduling and assessing how multiple homes could work together, we might just unlock the full power of residential energy systems.

In the ever-evolving world of energy management, let’s remember: It’s always good to have a plan-especially one that keeps the lights on and your snacks close at hand!

Original Source

Title: Probabilistic Day-Ahead Battery Scheduling based on Mixed Random Variables for Enhanced Grid Operation

Abstract: The increasing penetration of renewable energy sources introduces significant challenges to power grid stability, primarily due to their inherent variability. A new opportunity for grid operation is the smart integration of electricity production combined with battery storages in residential buildings. This study explores how residential battery systems can aid in stabilizing the power grid by flexibly managing deviations from forecasted residential power consumption and PV generation. The key contribution of this work is the development of an analytical approach that enables the asymmetric allocation of quantified power uncertainties between a residential battery system and the power grid, introducing a new degree of freedom into the scheduling problem. This is accomplished by employing mixed random variables - characterized by both continuous and discrete events - to model battery and grid power uncertainties. These variables are embedded into a continuous stochastic optimization framework, which computes probabilistic schedules for battery operation and power exchange with the grid. Test cases demonstrate that the proposed framework can be used effectively to reduce and quantify grid uncertainties while minimizing electricity costs. It is also shown that residential battery systems can be actively used to provide flexibility during critical periods of grid operation. Overall, this framework empowers prosumers to take an active role in grid stabilization, contributing to a more resilient and adaptive energy system.

Authors: Janik Pinter, Frederik Zahn, Maximilian Beichter, Ralf Mikut, Veit Hagenmeyer

Last Update: 2024-11-19 00:00:00

Language: English

Source URL: https://arxiv.org/abs/2411.12480

Source PDF: https://arxiv.org/pdf/2411.12480

Licence: https://creativecommons.org/licenses/by-sa/4.0/

Changes: This summary was created with assistance from AI and may have inaccuracies. For accurate information, please refer to the original source documents linked here.

Thank you to arxiv for use of its open access interoperability.

More from authors

Similar Articles