# A generic agent-based framework for modeling business ecosystems: a case study of electric vehicle home charging

Magnus Værbak, Zheng Ma, Yves Demazeau, Bo N Jørgensen

► To cite this version:

Magnus Værbak, Zheng Ma, Yves Demazeau, Bo N Jørgensen. A generic agent-based framework for modeling business ecosystems: a case study of electric vehicle home charging. 1st Energy Informatics Academy Conference, EIA_Asia'21, May 2021, Beijing, China. pp.1-26, 10.1186/s42162-021-00158-4. [https://doi.org/10.1186/s42162-021-00158-4](https://doi.org/10.1186/s42162-021-00158-4)

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# A generic agent-based framework for modeling business ecosystems: a case study of electric vehicle home charging

Magnus Værbak<fnref n="1" />*, Zheng Ma², Yves Demazeau³ and Bo N. Jørgensen<fnref n="1" />

From 1st Energy Informatics Academy Conference Asia
Beijing, China . 29-30 May 2021

## Abstract

Modeling and simulation have been popularly used for system investigation and evaluation. With proper evaluation, distribution system operators can decide on a reasonable course of action for encouraging energy flexibility and make predictions on the recommended timing and magnitude of system updates under different scenarios. However, there is no efficient tool for system operators to quickly set up and perform simulations of alternative scenarios for system updates before planning their course of action, without much experience with programming or system modeling. This paper proposes an agent-based modeling framework for developing agent-based simulation models of business ecosystems that can be applied to multiple evaluation scenarios by simple configuration of agents and roles. There are two steps in this proposed framework: Step 1 – Interface and role interactions design and Step 2 – Agent architecture and connections design. In addition, the framework depends on a pre-step that covers mapping and architecture development of the business ecosystem to be modeled. The framework is demonstrated with a case study of an energy business ecosystem consisting of an electricity distribution grid with 137 connected domestic consumers. The case study shows that the proposed agent-based modeling framework supports the development of agent-based models for simulating energy business ecosystems. To verify the behavior of the developed agent-based simulation models, a verification procedure of the agent models is briefly discussed, which includes unit, integration, and system testing approaches similar to the ones used in software testing.

**Keywords:** Agent-based modeling, Model framework, Smart grid

## Introduction

The 2015 United Nations Paris Agreement on climate change has caused a need for an energy sector that relies more on renewable energy resources and less on conventional fossil fuels, such as oil, coal, and natural gas. Due to the increasing prevalence of distributed energy resources (DER), distribution grids will face the challenge of

<figure><img src="image_3.png" /></figure>

<footnote>* Correspondence: mavar@mmm.i.sdu.dk</footnote>

<footnote n="1">¹Center for Energy Informatics, Maersk Mc-Kinney Moeller Institute, University of Southern Denmark, 5000 Odense, Denmark</footnote>

<footnote>Full list of author information is
available at the end of the article</footnote>
insufficient grid capacity (Billanes et al., 2017). For instance, although 97% of the consumed energy for transportation was based on fossil fuels in Denmark 2017 (Basisfremskrivning, 2020), it is expected that the personal vehicle pool on the Danish roads will be comprised of 380,000 Electric Vehicles (EV) in 2030 (Basisfremskrivning, 2020). This is expected to impact the electricity distribution system that supports the charging (Fatras et al., 2020), as personal transportation constituted the considerable share of 75.2% of the energy consumption within the Danish transport sector in 2019 (Data, tabeller, statistikker og kort Energistatistik, 2019).

To avoid risks and unnecessary costs, system operators must evaluate the performance of potential solutions before they are carried out in practice by modeling the system (Ma et al., 2016). This system model can be subjected to different parameter configurations and stimuli to test how it behaves and responds under these circumstances and thereby get a better understanding of the real system (Christensen et al., 2019). Meanwhile, the adoption of a certain technological or behavioral solution to a problem often affects and is affected by other actors in the system (Ma et al., 2018). These actors in a value chain must gain non-negative value from the solution to ensure the adoption (Adner, 2012). Therefore, all actors relevant to the value chain must be considered.

With proper evaluation, system operators can decide on a reasonable course of action for encouraging energy flexibility and make predictions on the recommended timing and magnitude of the low-voltage grid extension under different scenarios. However, these scenarios are often many, and there is no efficient tool for decision-makers to quickly set up and perform numerous scenario experiments before planning their course of action, without much experience with programming or system modeling. Prioritizing intelligibility as part of a model design can improve the efficiency of decision-making as well.

Agent-based modeling (ABM) (Ringler et al., 2016; Macal & North, 2010) has been used for modeling and analyzing individual actors as well as emergent patterns subjected to different scenarios, e.g. energy flexibility in greenhouses (Christensen et al., 2020), water supply (Værbak et al., 2019), and breweries (Howard et al., n.d.). Therefore, this paper aims to develop a generic ABM framework for creating simulation models of targeted distribution grids that can be employed to facilitate distribution system operators' (DSOs) investigation and evaluation of various grid scenarios. A case study of a distribution grid in Denmark is used in this paper for presenting an application of the developed ABM framework.

The agent-based simulation model framework proposed in this paper covers Part III of the business ecosystem modeling approach proposed by (Ma, 2019) (shown in Table 1). There are two steps in this proposed framework. Besides the two steps, the Part I Business ecosystem architecture development in the business ecosystem modeling (Ma et al., 2021) constitutes a pre-step that collects information on the ecosystem to be modeled before the model creation itself is conducted.

By using the proposed methodology of business ecosystem architecture development from (Ma et al., 2021), and an energy ecosystem, e.g. the Danish electricity market, the elements of relevant actors and objects along with their roles and interactions can be defined (Roles & responsibilities, 2021). In the ABM framework, these actors and objects are converted into agents that interact with each other based on the roles they
<table><caption>**Table 1** Business ecosystem modeling process (Ma, 2019)</caption><thead><tr><th>Part</th><th>Stage</th><th>Business ecosystem modeling</th></tr></thead><tbody><tr><td>Part I<br>Business ecosystem architecture<br>development</td><td>1</td><td>Identify the boundary of a selected ecosystem.</td></tr><tr><td></td><td>2</td><td>Identify actors and their roles in the ecosystem.</td></tr><tr><td></td><td>3</td><td>Identify actors' value propositions and business models.</td></tr><tr><td></td><td>4</td><td>Identify interaction between actors (different types of interactions)</td></tr><tr><td>Part II<br>Factor analysis</td><td>1</td><td>Investigate influential factors and their impact on the elements in the ecosystem (actors, roles, and interaction)</td></tr><tr><td></td><td>2</td><td>Investigate potential changes in the ecosystem.</td></tr><tr><td>Part III<br>Ecosystem simulation and<br>reconfiguration</td><td>1</td><td>Multi-agent based ecosystem modeling to identify ecosystem reaction towards the potential changes.</td></tr><tr><td></td><td>2</td><td>Ecosystem reconfiguration (including reconfiguration of actors, roles, and interaction) due to changes, system dynamics modeling might be applied at this stage.</td></tr><tr><td></td><td>3</td><td>Business model reconfiguration.</td></tr></tbody></table>

serve (Zhu & Zhou, 2008). The model framework intends to be extendable and allows agents to represent new technologies and actors without requiring significant changes to the set-up of the existing agents in the model.

The rest of the paper is structured as follows: The Background section introduces the Danish electricity system and ABM and simulation of smart grids. The Methodology section, Generic Agent-Based Modeling Framework Development, introduces the methodology proposed in this study, and the subsequent Case Study section presents the structure of an agent-based simulation model that has been developed using this framework. The Discussion section follows up on the case study and briefly discusses a few limitations of the proposed framework and the need for verification testing of created models. Lastly, the Conclusion section summarizes the paper.

## Background

### The Danish electricity system

The Danish electricity infrastructure consists of a transmission grid (132–400 kV) owned, operated, and maintained by the state-owned transmission system operator (TSO), Energinet.dk, and numerous local distribution grids which connect electricity consumers and smaller producers at medium-voltages (60–10 kV) and low-voltages (400–230 V). These distribution grids are operated and maintained by DSOs, each of them being responsible for a specific and delimited region. Energinet.dk owns the national energy system data platform, DataHub, and, along with the TSOs of the other Nordic and Baltic countries, co-owns the electricity trading market platform, Nord Pool (Roles & responsibilities, 2021).

Following the gradual liberalization of the Danish electricity system, system operators are obligated to provide grid access and services on equal and indiscriminate terms to all market players in the energy system. Furthermore, DSOs are in charge of performing electricity consumption measurements on the consumers connected to their respective grids and send the data to the DataHub (Zheng et al., 2016). The national roll-out of smart meters by 2020 enables hourly settlement of electricity consumptions
(The Danish electricity retail market, 2021). Demand response is not fully developed in Denmark compared to Finland, France, and UK (Market models for aggregators, 2021).

Electricity suppliers act as the link between the electricity system and electricity cus-
tomers. The suppliers buy electricity and sell it to customers through agreements.
Based on measurements from the DataHub, the suppliers are furthermore tasked with
collecting payments for all electricity services provided to their respective customers in
one single bill that includes the raw electricity price, net service tariffs, duties, etc. (The
electricity grid, 2021).

ABM for smart grids

Many simulations and modeling tools have been used to investigate the electricity sys-
tem, especially electricity markets with different configurations of mechanisms and
players (Ma et al., 2019). However, according to (Santos et al., 2016), the majority of
the tools lack interoperability between heterogeneous energy systems and hence the
possibility for investigating cases that feature participants from different energy systems
participate in the same markets.

The studies of (Oliveira et al., 2012; Praca et al., 2003) attempt to close that gap by proposing a set of electricity market ontologies and provide a common semantic platform to allow communication between agents of different systems. To achieve that objective, a hierarchy of classes adhering to agent and entity roles and communication types is established. Comparatively, (Santos et al., 2016) focuses on market processes and participation.

Using a more overall agent hierarchy classification approach, (Shafie-Khah & Catalão, 2015) proposes a framework that divides agents into two layers: the First-layer that contains agents directly participating in the energy electricity market, and the Second-layer that contains agents which participate through connections to First-layer agents. Using the Layer approach, the agents are categorized into a hierarchy, where agents from one layer aggregate exchange information with agents in the layer below, make decisions based on this information, and sends a signal to agents in the layer above.

Another study that arranges agents into groups depending on their characteristics and roles, (Duan & Deconinck, 2010), converts a smart grid into a set of delimited domains representing functionalities, including generation, distribution, operations, markets, customers, and services. Each domain is then constituted by several agents that fulfill sub-parts of the domain. Furthermore, the study sets up a simple model that features an electricity market with smart grid load and generation agents performing bids and negotiations.

Generic agent-based modeling framework development

ABM is a versatile tool that can be employed to analyze complex systems consisting of
multiple autonomous agents. However, ABM is, by itself, just a tool and requires know-
ledge on agents’ mutual relations and structure before organizations of real actors and
objects can be validly modeled. The business ecosystem architecture development
methodology proposed in (Ma et al., 2021) offers a solution to this task by mapping the
architecture of an energy business ecosystem with the actors and objects, and their
roles in the given business ecosystem. Relations and hence interactions between actors
and objects in the business ecosystem are considered to depend on the roles they serve rather than the actors and objects themselves. Furthermore, (Ma et al., 2021) categorizes identified relations between roles into five types of value flows (shown in Table 2).

The main output from (Ma et al., 2021) is a structured depiction of the investigated ecosystem information, Fig. 1, that is translated to the model framework proposed in this paper (shown in Table 3).

In the proposed model framework, an agent consists of parameters, state variables, behavioral methods, and functions that define the goals and decision-making mechanisms of the agent. Meanwhile, these elements are subjected to encapsulation and hence not visible to any entities in the environment outside the agent that contains them. Instead, as previously mentioned, an agent is represented externally by a set of roles it serves and the interactions that it can perform given by these roles. Based on these conditions, the model framework is divided into two steps:

* Step 1 – Interface and role interactions design

* Step 2 – Agent architecture and connections design

After performing these two steps, the agent logic components, i.e. the content that defines the behavior of the respective agent types, can be added. This task is not considered within the scope of this paper.

The framework is based on Java and employs some of the mechanisms of this programming language, notably abstraction by using interfaces. Therefore, the framework is applicable to ABM creation using ABM software implemented in Java.

The steps and sub-steps of the model creation process are explained in the following sub-sections and are accompanied by illustrations in Fig. 2, 3, 4, 5, 6, 7 and 8. Note that these figures are based on a delimited set of elements from the system modeled in the Case Study section. The delimitation has been chosen to simplify the illustrations for explanatory purposes, and the figures therefore do not depict a complete system.

### Step 1 – Interface and role interactions design

This step defines the structure of the roles and relations as interface and method counterparts in the agent-based simulation model. There are three sub-steps:

<table><caption>**Table 2** Five types of flows in the business ecosystem (Ma et al., 2021)</caption><thead><tr><td>Type of flow</td><td>Description</td></tr></thead><tbody><tr><td>Goods (Product & Service)</td><td>The most basic products of an economic system that consist of tangible consumable items (products) and tasks performed by individuals (service).</td></tr><tr><td>Monetary value</td><td>The amount of value an item or a service has in relation to if I were sold for cash to a willing buyer.</td></tr><tr><td>Information</td><td>Information is data that has been processed, organized, structured, or presented to make it useful in a given context.</td></tr><tr><td>Data</td><td>Data is raw, unorganized measurements and facts that need to be processed to become useful.</td></tr><tr><td>Intangible value</td><td>Intangible value is value created or owned by an individual, company, or organization that has no physical form. For example, the goodwill of an established business, the value of a trademark, or the ranking of a company or university.</td></tr></tbody></table>
<figure><img src="image_4.png" /></figure>

### Sub-step 1.1 - Define domain role interfaces

**Purposes** The interface concept from object-oriented programming is considered a convenient way to represent roles in simulation models. Interfaces directly represent roles and come with sets of defined methods. Each method is given a name, an ordered set of expected inputs with types, and an output/return type. Interface methods represent the requests that agent types implementing the interface are expected to accept and handle as part of maintaining the corresponding role. These methods come without bodies, i.e. without any specified actions that must be performed when a request is handled. The method bodies are instead defined within the individual agent types, and thereby different agent types that implement the same interface might act differently to a certain request. The format of input information that must be provided and the format of the information that is returned, if any, are therefore the only properties visible to other agents that make requests through interface methods.

This sub-step considers the translation of roles from the selected energy ecosystem as interfaces in the ABM. As the actors in the ecosystem interact with each other based

<table><caption>**Table 3** Translation of ecosystem elements into ABM framework</caption><thead><tr><td>Ecosystem element</td><td>ABM element</td></tr></thead><tbody><tr><td>Role</td><td>Interface</td></tr><tr><td>Actor/object</td><td>Agent type</td></tr><tr><td>Interaction</td><td>Interface method</td></tr></tbody></table>
Step 1.1

<figure><img src="image_5.png" /><figcaption>Fig. 2 Step 1.1 – Define domain role interfaces</figcaption></figure>

on their roles, the agents' interactions defined in the model must be based on the roles
assigned to the agents. Hence, agents are completely unable to access and affect other
agents unless these interactions are performed through the roles of the agents. This ap-
proach reflects the fact that actors in the real world typically possess little knowledge of
other actors' roles, except the ones who are relevant to them.

**Activities** Interfaces represent roles from the energy ecosystem as interface types. After the empty interfaces have been defined, they need to be assigned sets of methods that represent the requests they can receive from other interface roles. The methods of an interface are based on the flows in the ecosystem architecture that go into or out of the role represented by the interface. It should be noted, however, that the ecosystem architecture depicts flows and not interactions. Every flow comprises one to several different interactions that reflect procedures that commence between the real system roles. For instance, the exchange of electricity might encompass power requests, establishments, modifications and terminations of supply contracts, physical conditions such as failures, voltage fluctuations and maintenance, and many other interactions. The information on the energy ecosystem determines the scope and which interactions are relevant, and this should be reflected in the set of methods that are defined to represent the flows. Based on this condition, the methods must be defined by considering each flow rather than each role, identify necessary methods for this flow based on the energy ecosystem
<figure><img src="image_6.png" /><figcaption>**Fig. 3** Step 1.2 – Define generic role interfaces</figcaption></figure>

and assign these methods between the two roles that exchange the flow depending on who is the receiver, again according to the information on the energy ecosystem.

Furthermore, due to the requirement that not only the agent handling a request but also the agent making the request must assume a certain role, every interface method defined in the model must include an input parameter, *callerRef*, of the interface type corresponding to the role attained by agents expected to call that method. This ensures that agents that should not be able to call the method cannot access it without throwing an exception. The Fig. 2 *I_ElectricityRetailer* interface method, * Rathed with getServiceAgreement*, can for instance only be called by agents implementing the *I_ElectricityConsumer* interface, i.e. agents fulfilling the electricity consumer role that wish to initiate an electricity supply contract with an electricity retailer role agent.

**Outputs** A list of domain role interfaces, one for each ecosystem role, with methods is the main output as shown in Fig. 2.

## Sub-step 1.2 - Define generic role interfaces

**Purposes** Usually, interfaces for different roles feature methods with identical signatures and purposes and hence share some functionalities that can be covered by a common super-interface, the generic role interface. Furthermore, a single
<figure><img src="image_7.png" /><figcaption>Fig. 4 Step 1.3 – Define exchange package classes</figcaption></figure>

interface might feature multiple versions of the same method with different caller-Ref argument types, e.g. the *I_ElectricityConsumer updateLoad* methods in Fig. 2. The number of versions can be reduced by convening the calling interface types under a common super-interface that reflects their similarities. Creating generic role interfaces has the following purposes and potential contributions they can provide to ABM of energy systems:

* Simplification: Duplicates of the same method across multiple roles (see the six *updateLoad* methods in *I_ElectricityConsumer* and *I_Grid* in Fig. 2) and within the same role, the latter to allow access from multiple different interfaces (see the two versions of the same method in *I_ElectricityNode* in the same figure), can be reduced to one item.

<figure><img src="image_8.png" /><figcaption>Fig. 5 Step 2.1 – Define agent types</figcaption></figure>
<figure><img src="image_9.png" /><figcaption>Fig. 6 Step 2.2 – Implement interfaces on agent types</figcaption></figure>

* Reusability: Generic role interfaces represent generalized roles in the domain of which the energy ecosystem is a part. These interfaces can be applied to roles with the same properties across different ecosystems and simulation models.

* Standardization of concepts: Using the same generic role interface for all roles that perform a certain task or service ensures that this service remains consistent across all domain interfaces that provide it and all ecosystems where it appears.

**Activities** This sub-step revises the interfaces from sub-step 1.1 to capture similarities between them and to separate these similarities into generic role interfaces that are valid within the context of the domain considered in the energy ecosystem. To give an example, a heat pump role and an EV charging control role are both characterized by acting as electricity loads, and the methods pertaining to this aspect of the roles can be separated into an independent electricity load super-role interface that is extended by the original two roles.

As Fig. 3 illustrates, the activity performed in this sub-step moves certain methods from the domain role interfaces into separate generic role interfaces that are extended

<figure><img src="image_10.png" /><figcaption>Fig. 7 Step 2.3 – Insert agents into system architecture</figcaption></figure>
<figure><img src="image_11.png" /></figure>

by the former. For instance, the *I_ElectricityConsumer* and *I Gr id* interfaces both repre-
sent roles that serve as physical nodes in the electricity system, hence extending the
generic *I_ElectricityNode* interface. In some cases, generic role interfaces themselves
might also feature similarities that can produce new generic role super-interfaces, thus
forming a multi-layered hierarchy of interfaces. It is difficult to establish a definite
guideline that describes when a generic role interface is warranted, however, when cre-
ating generic role interfaces based on domain role interfaces and their methods, the fol-
lowing requirements should be fulfilled:

* Methods from domain role interfaces that are moved into the same generic interface must feature similarity (not necessarily equality) in name, arguments, and purpose. There might be small differences between the methods, e.g. the exact name or the input arguments ordering, and these differences are eliminated when the methods become one in the generic role interface, thus standardizing the method.

* A generic role interface must assume a physical or virtual identity that is rational in the context of the modeled domain and which can be named accordingly. For instance, TSO and DSO domain role interfaces might both feature similar methods for grid maintenance and tariff updates, however, these consider unrelated tasks that cannot be combined into one generic role interface with a reasonable identity and name.

**Outputs** The output is a list of interfaces that cover abstract functionalities and corresponding generic roles as shown in Fig. 3.

Sub-step 1.3 - Define data and information exchange classes

**Purposes** While some interactions only include exchanges of few and primitive-typed
values, e.g. a few double values or strings, other interactions feature extensive and
complex sets of exchanged objects as part of the input and return parameters. A special type of classes, data and information exchange classes, are used in this regard to contain several pieces of information in the same object. These classes are almost entirely constituted by fields and rarely contain a few methods to support certain functionalities. The use of these classes is convenient due to the same parameter type configurations often being used for more than one interaction in a system. For instance, the DataHub platform uses some standard protocols pertaining to electricity consumption measurement data and electricity consumer information, protocols which are also employed by other actors handling said information in the system. A consumption measurement exchange class that closely resembles the format and content dictated by the protocol can therefore conveniently represent the type of data in the model. Furthermore, as depicted in Table 2, the ecosystem interactions are categorized into exchanges of goods or finances, unprocessed or processed data or information, and requests and regulations through agreements and ownership relations between the actors. This separation of interaction types can also be represented by data and information exchange classes for the individual interaction types, for instance, ones that are used to represent the exchange of certain goods and finances. Finally, assembling multiple fields in the same objects makes it convenient to define methods with multiple return values instead of listing these values in an object array which is less manageable and clear.

Apart from assembling multiple output values and long lists of input arguments into single objects, the purposes of defining and using data and information exchange classes are the same as for the generic role interfaces.

**Activities** The activity of this sub-step considers the methods of the interfaces from steps 1.1 and 1.2 and identifies cases with multiple output values, long input argument lists, identical argument lists between methods, and packets of information that possess an identity within the modeled domain and its procedures, e.g. an electricity consumption measurement, a bill or an electricity price. With the creation, each data and information exchange class gets a constructor and fields with corresponding *get* and *set* methods.

Figure 4 illustrates this sub-step by introducing three data and information exchange classes, one representing electricity consumption measurements performed between two dates (ElectricityMeasurement), one representing a generic bill sent by a creditor to a debtor (Bill), and one representing an electricity price that is valid between two dates (ElectricityPrice).

It should be noted that data and information exchange objects are not only used in interactions but might also be subsequently stored and processed by involved agents.

It should furthermore be noted that this sub-step does not necessarily need to be carried out after sub-steps 1.1 and 1.2. Instead, the data and information exchange classes can be created gradually with the creation of the interface methods in sub-step 1.1, which might be more convenient in some cases.

**Outputs** A list of classes that assemble multiple fields into single objects, that are used for the interactions between interfaces and, in some cases, subsequently stored within the agents.
## Step 2 – agent architecture and connections design

With the interfaces and corresponding interaction methods and data and information exchange classes in place, the content of the agent types that relate to their position in the system can be created. This step considers the creation of the empty agent types and the elements that directly pertain to how they are positioned in the system architecture and how they are connected for communication.

### Sub-step 2.1 - Define agent types

**Purpose** Before any activities can be carried out that involve agents, they must be defined as entities in the simulation model.

**Activities** This sub-step hence defines the empty agent types (or classes) which will act as templates that prescribe the structure and content elements that constitute agents of their respective type and are used to create agent instances of those types. Like the energy ecosystem role to domain interface conversion, actors/objects from the energy ecosystem are defined as agent types in the simulation model in a one-to-one manner. Therefore, for each actor or object in the energy ecosystem, one agent type must be created, using the same name as the actor/object (without spaces). Furthermore, an environment agent type must be created, which acts as the Main class that is instantiated at the start of a simulation and from which other agents are instantiated. The agents introduced for illustrative purposes are depicted in Fig. 5.

**Outputs** A set of empty agent types that obtain properties and contents in the following sub-steps.

### Sub-step 2.2 - Implement interfaces on agent types

**Purposes** The actors and objects in the ecosystem assume roles, and correspondingly, the actor/object-based agent types in the simulation model must implement the role-based interfaces, hence providing the agents with the properties needed for acting in the simulated system.

**Activities** Given the list of agent types defined in sub-step 2.1 and the list of domain role interfaces from sub-step 1.1, the two entities can now be joined according to the role-actor/object relations given in the energy ecosystem architecture. This is done by letting the respective agent types implement the relevant domain role interfaces (shown in Fig. 6). This activity implicates that the methods in the implemented interfaces must be defined as part of the contents in the agent types themselves, however, the function bodies are not added in this step as they belong to the logic of the agent types.

**Outputs** Interfaces (and the extended generic interface types) are assigned to the agent types, and the corresponding empty-bodied methods are added to the agent types.
### Sub-step 2.3 - Insert agent into system architecture

**Purposes** Until now, the sub-steps have considered the creation of concepts, i.e. agent types, object classes, and interfaces, but nothing has yet been set to instantiate agents during simulation runtime. This sub-step performs this task by embedding agent types within the environment agent or as part of other agents.

**Activities** Instances of agent types are stored in designated fields (or containers) which can either be variables that can only contain a single agent or collections that can contain populations of agents of the same type. As illustrated by Fig. 7, these fields are parts of agent type definitions of other agent types, hence agents are embedded in container elements in other agents in a structure with the environment agent (sometimes called Main) as the highest-leveled agent. This means that an agent type might be embedded in multiple other agent types. The agent type hierarchy must be based on the ecosystem architecture, and intangible interactions such as “owns” or “uses” in the architecture typically denote situations where an agent type, due to its maintained role, embeds instances of another agent type in an ownership relation. Hence, even though the agent hierarchy is per se based on agent types, it still must follow the role-relation requirement, i.e. an agent type should only be embedded in another agent type if the roles of the two types warrant it.

In Fig. 7 there is exactly one DSO agent instance embedded in the environment, together with populations of DomesticConsumer and ElectricityRetailer instances that each can contain at least one instantiated agent. Furthermore, adhering to the “owns” relation in the Fig. 1 ecosystem, the DomesticConsumer instance will feature a single embedded Meter agent.

Agents in these container fields, whether embedded in the environment or another agent type, can be instantiated immediately by their owner at the simulation start and/or be instantiated or destroyed dynamically during simulation runtime. The number of agents instantiated in the respective containers at simulation start is set as part of this task as well. Also note, as the arrows in Fig. 7 signify, composition is used as the association relation between owner and children, hence if an agent is destroyed, its embedded agents are destroyed too.

**Outputs** A definite ownership hierarchy of agent types and the instantiation of (empty) agents during simulation runtime.

### Sub-step 2.4 - Add reference elements for agent interconnections

**Purposes** Before agents can interact with other agents based on the interfaces they implement, they must be able to access the other agents through references. This step introduces fields to store references to other agents of the interface types that a given agent can initiate interactions with.

**Activities** An agent type that implements an interface must be able to call methods in interfaces that feature *callerRef* arguments of the implemented interface type.
Therefore, it is necessary to identify every interface that an agent type can interact with through the interfaces it, itself, implements. For each identified interface, a field must be added in the agent type definition to store values of the identified interface type. These fields serve as references to other agents that implement said interfaces. The fields (called links henceforth) might either be variables or collections, depending on how many agents of a given interface type the agent must maintain connections to at a time. All outgoing requests performed by the agent go through these links. A link might contain references to agents of different types that implement the same interface, thereby enabling polymorphism. This approach fits with the ecosystem architecture development methodology where relations and interactions are formed between roles, not actors/objects.

In Fig. 8, sockets and circles are added to the individual agent types to denote which interfaces they can receive calls from, and which interfaces they can call, respectively. For each circle, a link of that interface type must be added to the agent type.

Link values, i.e. references to agent instances assuming a certain role, are sometimes given as a default value at simulation start or created dynamically, where an agent locates and requests connection to another agent, either by perceiving the latter in the environment or receiving a reference through a third party. However, this sub-step only adds the links while the actual references stored are instead defined as part of the individual agent type logic. Therefore, it is not certain that a link will be used at all during the simulation. For instance, a DomesticConsumer agent that, for some reason, remains unconnected to any grid role agent will not store any references in the link to contain an *I_Grid* link that is depicted by a circle attached to the DomesticConsumer agent in Fig. 8.

**Outputs** The agent types contain interface-typed links to store references to other agents of the given interface type. The links are used as outgoing ports for interactions with those agents as part of the agent type logic.

## Case study

A local low-voltage distribution grid in Denmark is chosen as a case study to demonstrate the application of the proposed model framework. The low-voltage grid connects 137 domestic electricity consumers (shown in Fig. 9). The consumers are connected to a branch of the low-voltage grid that is connected upwards in the grid by a transformer station.

Currently, there are very few photovoltaics (PV) and EVs in this distribution grid. However, in the future, the loads might include various loads and productions by DERs, such as EVs, PVs, and heat pumps. The potential overload in the distribution grid by DERs is a big concern for the DSO. Therefore, an agent-based simulation model is developed with the proposed framework to investigate this scenario.

## Agent-based simulation model development

The model is developed by following the steps presented in the Methodology section. The energy ecosystem information for the case study is based directly on the preliminary work of (Ma et al., 2021) and the ecosystem presented in Fig. 1. The aim of this
<figure><img src="image_12.png" /><figcaption>**Fig. 9** Map of the chosen low-voltage grid (Note: The blue squares are switch boxes; the red triangle is the transformer)</figcaption></figure>

case study is to establish an agent-based simulation model for studying the impact of EV charging on grid stability in the low-voltage distribution grid of a residential area where the number of EVs is expected to increase towards 2030.

The model is created using the agent-based simulation platform, AnyLogic (AnyLogic, 2021), which is based on Java and hence uses an object-oriented approach to creating elements of the model.

Using the steps from the Methodology section, the interfaces, agent types, and their hierarchical structure depicted in Fig. 10 have been produced. Note that the domain role interfaces are closely based on the roles depicted in the Fig. 1 ecosystem from (Ma et al., 2021), while several generic role interfaces have been added to capture common traits between the roles. A notable example is the *I_Electricity-Node* interface that covers agents with roles that act as physical intermediary points in the grid. These agents aggregate loads from connected *I_ElectricityLoad* agents that are connected downwards in the system and sends them upwards to the next *I_ElectricityNode* agent (if any) by calling the *updateLoad* method, thus forming a chain.

The data and information exchange classes that have been defined at sub-step 1.3 are presented in Table 4. These classes adhere to some of the flows in the case ecosystem.

The agent type architecture is shown in Fig. 11. All agents are initialized at the beginning of the simulation (137 in the Main-embedded DomesticConsumer population and one in the ElectricitySupplier population). Only a certain number of DomesticConsumer agents will initialize a ChargingBox agent and an ElectricVehicle agent in their embedded containers at simulation start, while more DomesticConsumer agents will gradually perform this initialization over the course of the simulation run, hence gradually increasing the number of EV owners in the system during the simulation. The
<figure><img src="image_13.png" /><figcaption>**Fig. 10** Hierarchy of agent types and interfaces in the case study model</figcaption></figure>

starting number and growth rate of ChargingBox and ElectricVehicle initialization reflects a function that depends on the scenario used for the simulation run.

## Agent logic and behavior

As stated in the Methodology section, the logic of the agents is not within the scope of the framework presented in this paper. However, to understand the purpose of the case study model, a summary of the most important behavioral aspects of the agents found in the model is provided:

The main interactions between the agents in the model are divided into four different sequences, and each sequence covers a certain flow type from the ecosystem architecture (shown in Table 2). Furthermore, a set of data and information exchange classes is used in each sequence, as presented in Table 4. Figure 12 illustrates the four main interactions with sequence diagrams. Note that interfaces and agent types are both depicted, where the interactions are based on the interfaces while the performed actions are based on the agent types and their corresponding logic. Also, note that the electricity loads sequence contains a lifeline where only the interface is known (*I_Appliance*). This denotes that the DomesticConsumer agent type does not care from which of its connected Appliance agents it received a load change signal. What is important is that the load changes. Thereby, any agent types that implement the *I_Appliance* interface, e.g. PV systems, heat pumps, or batteries, can be embedded in and connected to the DomesticConsumer agent type without requiring changes to the agent type's logic that relate to the *I_ElectricityConsumer* interface. Depending on the usage and control
<table><caption>**Table 4** A list of data and information exchange classes, the information they contain, and the sequences where they are prominently used</caption><thead><tr><th>Sequence</th><th>Data and information exchange class</th><th>Contained information and [type]</th></tr></thead><tbody><tr><td>Electricity load</td><td>PlannedLoad</td><td>Load value [double]<br>Start date [Date]<br>End date [Date]</td></tr><tr><td>Electricity consumption measurement</td><td>ElectricityMeasurement</td><td>Value [double]<br>Start date [Date]<br>End date [Date]<br>Measurement event [String]<br>Measurement type (power or energy) [String]<br>Meter reference [I_MeteringApp]<br>Consumer reference [I_ElectricityConsumer]</td></tr><tr><td>Electricity price</td><td>ElectricityPrice</td><td>Price [double]<br>Start date [Date]<br>End date [Date]<br>Type/component [String]</td></tr><tr><td>Electricity billing/payment</td><td>Bill</td><td>Amount [double]<br>Creditor [I_MonetaryTransactionCreditor]<br>Debtor [I_MonetaryTransactionDebtor]<br>Note [String]</td></tr><tr><td></td><td>BillBundle</td><td>Creditor [I_MonetaryTransactionCreditor]<br>Debtor [I_MonetaryTransactionDebtor]<br>Sub-bills [List&lt;Bill&gt;]<br>Total amount [double]<br>Note [String]</td></tr></tbody></table>

<figure><img src="image_14.png" /><figcaption>**Fig. 11** Agent type architecture of the case study model</figcaption></figure>
<figure><img src="image_15.png" /><figcaption>**Fig. 12** Four main interactions between agents in the model</figcaption></figure>

interactions between the added Appliance role agent types and the DomesticConsumer agent, the latter might need to implement an interface, *I_XApplianceOwner*, and corresponding logic for specifically handling these additional interaction requirements (like the *I_ElectricityVehicleOwner* interface).

Regarding the ChargingBox and ElectricVehicle agents, the logic is as follows:

The DomesticConsumer agent, given that it has initialized and hence owns an instance of each of the ElectricVehicle and ChargingBox agents, exhibits a scenario-dependent driving pattern. The first trip is scheduled when the ElectricVehicle agent is instantiated, and the expected distance and departure and arrival times of the trip are sent to the vehicle.

The ElectricVehicle agent can attain four different states, which are depicted in the Fig. 13 flowchart:

* Driving – the vehicle is away from the household and cannot be charged, and the charge level of its battery is reduced depending on the distance of the trip and the mileage of the vehicle.

* Connected to Charger – the vehicle is home and connected to a charging control role agent, in this case the ChargingBox agent type, but is currently not charging.

* Charging – the vehicle is home and connected to a charging control role agent and is currently charging, hence increasing the battery charge level and causing a load at the electricity node to which it is connected.

* Idle – The vehicle is home but not connected to a charger (this only occurs if the battery is fully charged).
<figure><img src="image_16.png" /></figure>

Upon the departure of a driving trip, the ElectricVehicle changes to the Driving state and upon arrival, the vehicle is immediately connected to the charger, hence changing to the Charging or Connected to Charger states, while the DomesticConsumer agent schedules the departure and arrival time of the next trip and sends this information to the Electric Vehicle agent.

The ChargingBox agent maintains the charging of the connected ElectricVehi-
cle agent and sends charging start/stop signals to the vehicle, thus prompting
the latter to move between the Charging and Connected to Charger states.
When the ElectricVehicle agent is fully charged or switches to the Driving state,
it disconnects from the ChargingBox agent. As the ChargingBox agent draws
power from the grid, it acts as an electricity load (*I_ElectricityLoad*) connected
to the owning DomesticConsumer agent. The ChargingBox schedules the char-
ging according to a chosen charging scheme setting. Currently, possible settings
include 1) simple charging, where the charging starts immediately when the
ElectricVehicle agent establish a connection and continues until the vehicle is
fully charged, and 2) smart charging where the charging is scheduled for hours
with the lowest expected electricity prices. Common for the two schemes is the
requirement that the vehicle must be fully charged, if possible, before the next
departure time.

Model outputs

During the simulation, measurements of a chosen set of variables are performed every 10th minute. For this case study, these variables include aggregated loads on the Distribution Grid agent from different sources and the number of ElectricVehicle agents in each of the possible states. During simulation runtime, the values of these variables over the last 48 h of passed simulation time are shown in two charts, presented in Figs. 14 and 15 for the loads and the vehicle states, respectively.

In Fig. 14, the individual load components, i.e. base loads from DomesticConsumer
agents and vehicle charging loads from ChargingBox agents are shown as separate
curves, as is the load capacity supported by the grid. Figure 15 shows the aggregated number of ElectricVehicle agents in each state in the system, hence providing an overview of the charging and driving behavior exhibited by the vehicles during simulation runtime.

At the end of the simulation, all measurements of the DistributionGrid loads and ElectricVehicle states obtained over the entire simulation period are exported with time-stamps to a spreadsheet file for further analysis, i.e. investigation of grid overload timing and causes and how these relate to the observed driving and charging patterns of the ElectricVehicle agents. The exported data also includes the input parameter configuration of the simulated scenario.

It should be noted that the set of variables that are measured during simulations can be extended to include new variables, for instance accumulated electricity service payment/revenue of the DSO, TSO, ElectricitySupplier and/or DomesticConsumer agents. The Main (environment) agent contains a list of variables that are measured. Adding new variables to the list will automatically print them in a new column in the output spreadsheet. Furthermore, the measurement frequency can be increased or decreased from the 10 min if a higher or less level of detail is needed for the output dataset, respectively, and the 48 h period of the two charts can be modified if measurements over a longer or shorter period must be monitored during simulation runtime.

## Discussion

The case study demonstrates how an ecosystem with several actors and objects can be translated into an agent-based simulation model. Even though a simulation model was successfully created, the case study also showed that the proposed ABM framework has some limitations:

* It is difficult to exactly define the methods needed for interactions as part of creating the domain interfaces in sub-step 1.1. Even though the interactions

<figure><img src="image_17.png" /><figcaption>Fig. 14 Simulation model output – loads on the DistributionGrid agent</figcaption></figure>
<figure><img src="image_18.png" /></figure>

depicted in the ecosystem and their flow types can be used as guidelines for the needed interface methods, they only provide an overall notion of which requests a certain interface must be able to handle. The need for some methods might not be apparent before later steps of the framework and some of the agent type logic contents creation have been conducted, and hence new methods might be added at later stages in the modeling process or existing methods might be removed/modified.

* While sub-step 1.2 provides some overall guidelines regarding situations where generic interfaces should be introduced, the framework does not offer any definite way to determine when a generic interface should be added and which methods that should be moved from other interfaces that extend it. A similar limitation exists regarding the definition of data and information exchange classes in sub-step 1.3.

* Defining the logic of the individual agent types is not part of the framework as it belongs to the private content of the respective agents and hence does not directly affect the role-based organization between the agents. However, the roles attained by an agent type might affect how the logic should be structured. For instance, it might be appropriate to strictly separate content belonging to different roles of an agent into distinct modules and set up interactions between these modules as if they belonged to different agents, thereby limiting changes to other modules if a certain role and corresponding module is removed from the agent type. Hence, the framework could be extended with step 3 which provides some recommendations on conveniently structuring agent type content pertaining to its logic.

During the case study model creation process, these limitations caused a need to cycle through previously performed sub-steps multiple times, notably sub-steps 1.1–1.3
and in some cases 2.4. Regardless, the framework still provides some level of standard structure, both in the creation process, but also in the final product.

A future task that needs to be solved concerns testing and evaluation of the perform-
ance, usability, and reliability of the proposed framework through a verification process.
The verification process should test whether the agent-based simulation models behave
according to the specifications, both in terms of individual agent behavior, interactions
between agents and the environment, and the overall system behavior. Software testing
methods can be used for this verification and can identify if agents and components in
a simulation model behave properly to various conditions. Special conditions that are
unlikely to occur or have been overlooked by developers should also be identified and
evaluated. For instance, a DomesticConsumer agent might not have any reference to an
upper grid node agent stored in its designated reference variable, and in this situation,
it is important to investigate whether this agent still receives electricity and behaves as
if it were grid-connected.

Circumstances that comprise changes to parameters and properties might feature various values between scenarios. Therefore, the evaluation of model components' behaviors is required. For instance, what would happen to the consumption measurement values exchange flow from Meter agent to Electricity Supplier agent if the DSO agent, instead of every 60 min., performs meter readings every 15 min or 1 day? Other situations that need to be tested could be: What would happen if the information on any components of the final electricity price, e.g. availability of the DSO tariff become delayed or missing altogether for some hours, or the same happens with the entire final electricity price? Will these changes to data and information flow availability and timing cause critical impacts on other agents' behaviors and processes such as the billing procedure?

For the verification process, a bottom-up approach is recommended, beginning with
the testing of individual model components, and gradually combining increasing num-
bers of components until the entire system is tested. This approach is similar to soft-
ware testing, including:

* Unit testing: tests individual agent types' responses to certain sets of input stimulations and verifies their reactions and behaviors according to expectations.

* Integration testing: tests the performance of specific interactions between two or few agents in a delimited version of the simulation model and verifies that chains of interactions behave according to expectations.

* System testing: tests the behavior of large parts of the model that combine numerous components, and the full model, and verifies that the entire system, incl. Eventual emergent patterns, behave according to expectations or in an explainable way.

Therefore, a standardized verification procedure should be conducted to ensure the
performance of the developed ABM framework. Furthermore, the verification proced-
ure should be designed together with the model design and conducted when new fea-
tures are added to the system.

Conclusion

This paper proposes an agent-based modeling framework for developing agent-based
simulation models of energy business ecosystems. The framework constitutes Part III
of the business ecosystem modeling proposed by (Ma, 2019), uses information from the business ecosystem modeling for organizing the agents included in the simulation, and is intended to be applicable across multiple simulation scenarios by configurations of agents and roles. This system-oriented approach differs from but also potentially complements the general agent logic-oriented approach.

The proposed framework consists of two steps: Step 1 considers interface and role interactions design while step 2 considers agent architecture and connections design. In addition, a pre-step to the framework is constituted by Part I of the business ecosystem architecture development methodology in (Ma et al., 2021), which provides the information required to organize the agents in the simulation model created using the framework.

The framework is illustrated with a case study of an energy business ecosystem consisting of an electricity distribution grid with 137 connected domestic consumers and a gradually increasing electric vehicle prevalence. The case study presents the design and implementation of actors, roles, and relation flows from the ecosystem architecture of the energy business ecosystem into the corresponding agents and their respective relationships in the agent-based simulation model.

While multiple cycles of some framework sub-steps have been required during the creation process, the agent-based simulation model in the case study shows that the proposed framework can be used as a generic agent-based modeling framework for modeling energy business ecosystems. To ensure the performance of developed agent-based simulations, a verification procedure should be included in the model framework as the next step. The verification procedure should include unit, integration, and system testing similar to software testing. Meanwhile, multiple case studies with different distributed energy resources and different energy business ecosystems (e.g. heating and cooling) can be conducted with the proposed model framework in the future for verifying the framework and extending it as necessary.

**Abbreviations**

ABM: Agent-based modeling; DER: Distributed energy resource; DSO: Distribution system operator; EV: Electric vehicle;

PV: Photovoltaics; TSO: Transmission system operator

**Acknowledgments**

Not applicable.

**About this supplement**

This article has been published as part of Energy Informatics Volume 4, Supplement 2 2021: Proceedings of the Energy Informatics. Academy Conference Asia 2021. The full contents of the supplement are available at https://energyinformatics.springeropen.com/articles/supplements/volume-4-supplement-2.

**Authors' contributions**

MV, ZM and BNJ have contributed to the methodology design development. MV has conducted the case study model creation and written the first draft of the paper, while ZM, YD and BNJ have contributed to the final manuscript. All co-authors have read and approved the final manuscript.

**Funding**

This work is conducted as part of the national electricity digitalization transition project, Flexible Energy Denmark (FED) which is funded by Innovation Fund Denmark.

**Availability of data and materials**

Not applicable.
# Declarations

## Ethics approval and consent to participate

Not applicable.

## Consent for publication

Not applicable.

## Competing interests

The authors declare that they have no competing interests.

## Author details

¹Center for Energy Informatics, Maersk Mc-Kinney Moeller Institute, University of Southern Denmark, 5000 Odense, Denmark. ²Center for Health Informatics and Technology, Maersk Mc-Kinney Moeller Institute, University of Southern Denmark, 5000 Odense, Denmark. ³Laboratoire d'Informatique de Grenoble, Centre National de la Recherche Scientifique, Grenoble, France.

Published: 24 September 2021

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