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/1/ Assessment of residential battery systems (RBS): profitability, perceived value proposition, and potential business models by Markus Graebig 1 , Georg Erdmann 2 , Stefan Röder 3 Abstract The boost of electricity generation from fluctuating renewable sources comes with the challenge of how to cope with intermittence. Energy storage with batteries could be one solution. The German government has launched a program to incentivize battery installations in conjunction with roof-top PV (photovoltaics) for home owners. This segment of “residential battery systems” (RBS), with capacities typically between 4 and 15 kWh, may grow rapidly over the next few years. This study investigates the value proposition of RBS to customers. For the case of RBS in Germany, research has been conducted in three independent parts: model-based analysis of the battery system’s expected profitability, empirical study of customer expectations and perceived value proposition, and model- based analysis of technology acceptance. Finally, potential business models around RBS have been evaluated based on a small-scale field test together with two utilities. A brief taxonomy of potential international markets for RBS has been also derived. The authors conclude that RBS will not become cost-efficient in the foreseeable future. Under very favorable circumstances (rising electricity prices, decreasing feed-in tariffs, strong economy of scale for batteries), RBS may eventually become cost- efficient. However, from a marketing point of view, RBS appear to be a “win-win” for home owners – as a potentially profitable way of optimizing residential electricity consumption, and as a tool which provides the reassurance of being “self-sufficient”. Other markets outside Germany, e.g. off-grid applications, may be even more promising for RBS. Acknowledgement Parts of the research for this paper at TU Berlin have been conducted within the research project “SW-Agent” which investigates the role of municipal utilities in the German “Energiewende” (energy turnaround). “SW-Agent” is kindly sponsored by the German Federal Ministry of Education and Research (BMBF) under the SOEF (social-ecological research) program. We wish to thank our partners from Stadtwerke Bühl who greatly supported the customer survey among their customers. We are also indebted to Johannes Herden who was a great help in conducting the online survey. 1 Corresponding author Markus Graebig, Dipl.-Ing. M.Phil., Technische Universität Berlin | Department of Energy Systems, Einsteinufer 25 (TA 8) | 10587 Berlin (Germany), phone +49 30 314-28163, fax +49 30 314-26908, e-mail [email protected] 2 Prof. Dr. Georg Erdmann, Technische Universität Berlin | Department of Energy Systems (department head), Einsteinufer 25 (TA 8) | 10587 Berlin (Germany), phone +49 30 314-22890, e-mail [email protected] 3 Jun.-Prof. Dr. Stefan Röder, Steinbeis-Hochschule Berlin, Mollerstr. 12 | 20148 Hamburg (Germany), phone +49 40 41 33 086 18, e-mail [email protected]

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Page 1: Assessment of residential battery systems (RBS ... · PDF fileby Markus Graebig1, Georg Erdmann2, Stefan Röder3 Abstract ... 2 Prof. Dr. Georg Erdmann, Technische Universität Berlin

/1/

Assessment of residential battery systems (RBS): profitability, perceived value

proposition, and potential business models

by Markus Graebig1, Georg Erdmann2, Stefan Röder3

Abstract

The boost of electricity generation from fluctuating renewable sources comes with the challenge of

how to cope with intermittence. Energy storage with batteries could be one solution. The German

government has launched a program to incentivize battery installations in conjunction with roof-top

PV (photovoltaics) for home owners. This segment of “residential battery systems” (RBS), with

capacities typically between 4 and 15 kWh, may grow rapidly over the next few years. This study

investigates the value proposition of RBS to customers. For the case of RBS in Germany, research has

been conducted in three independent parts: model-based analysis of the battery system’s expected

profitability, empirical study of customer expectations and perceived value proposition, and model-

based analysis of technology acceptance. Finally, potential business models around RBS have been

evaluated based on a small-scale field test together with two utilities. A brief taxonomy of potential

international markets for RBS has been also derived. The authors conclude that RBS will not become

cost-efficient in the foreseeable future. Under very favorable circumstances (rising electricity prices,

decreasing feed-in tariffs, strong economy of scale for batteries), RBS may eventually become cost-

efficient. However, from a marketing point of view, RBS appear to be a “win-win” for home owners –

as a potentially profitable way of optimizing residential electricity consumption, and as a tool which

provides the reassurance of being “self-sufficient”. Other markets outside Germany, e.g. off-grid

applications, may be even more promising for RBS.

Acknowledgement

Parts of the research for this paper at TU Berlin have been conducted within the research project

“SW-Agent” which investigates the role of municipal utilities in the German “Energiewende” (energy

turnaround). “SW-Agent” is kindly sponsored by the German Federal Ministry of Education and

Research (BMBF) under the SOEF (social-ecological research) program. We wish to thank our

partners from Stadtwerke Bühl who greatly supported the customer survey among their customers.

We are also indebted to Johannes Herden who was a great help in conducting the online survey.

1 Corresponding author Markus Graebig, Dipl.-Ing. M.Phil., Technische Universität Berlin | Department of Energy Systems,

Einsteinufer 25 (TA 8) | 10587 Berlin (Germany), phone +49 30 314-28163, fax +49 30 314-26908, e-mail [email protected]

2 Prof. Dr. Georg Erdmann, Technische Universität Berlin | Department of Energy Systems (department head), Einsteinufer

25 (TA 8) | 10587 Berlin (Germany), phone +49 30 314-22890, e-mail [email protected] 3 Jun.-Prof. Dr. Stefan Röder, Steinbeis-Hochschule Berlin, Mollerstr. 12 | 20148 Hamburg (Germany), phone +49 40 41 33

086 18, e-mail [email protected]

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1 Introduction: motivation and status quo of residential battery systems (RBS) in Germany

Within the last decade, the share of renewable electricity generation in Germany has increased

tremendously. In 2013, more than 25 % of total electricity generation in Germany came from

renewable sources such as hydro, solar, wind, and biomass (BDEW, 2014) – compared to only 6.8 %

in 2000. Photovoltaics (PV) have seen the strongest growth rates, peaking in 2012. Within only one

year, 7.4 GW of new capacity was installed (BDEW, 2014). The current interest in residential battery

systems (RBS) is very much linked to the economics of PV in Germany. For a long time, the “PV

boom” had been triggered by generous feed-in tariffs – private PV owners, with up to 10 kWp

installed capacity on their roofs, were granted guaranteed feed-in tariffs which were significantly

higher than the average electricity tariff (figure 1) and subsidized though a “renewables surcharge”.

Hence, the business model of roof-top PV was not self-supply but much rather the subsidized

electricity feed-in – even though PV owners instantaneously rebought electricity from the grid at a

lower price. Since feed-in tariffs (only for new-built PV!) and electricity prices have taken strongly

opposing trends, the so-called “grid parity” – PV feed-in tariffs equaling prices for electricity supply –

was reached around 2012. (Note that this “grid parity” only reflects the microeconomic perspective

of the private decision-maker since one side of the equation is still hugely subsidized.) From now on,

self-supply has become the predominant business model for every new PV installation. PV owners

are incentivized to maximize their own consumption since one kilowatt-hour (kWh) from PV is

available for 17 €-Cents (January 2013) while one kilowatt-hour from the grid costs almost 29 €-

Cents. The spread of 12 €-Ct/kWh (and probably around 15 to 17 €-Ct/kWh in 2014) between

electricity supply and feed-in tariff is the economic benefit of a residential battery systems (RBS)

which allows the PV owner to store excess PV electricity during sunny hours for on-site consumption

during evening and night hours. Batteries may also be one approach to cope with intermittence of

electricity generation from fluctuating renewable sources.

Figure 1: “Grid parity”: Guaranteed feed-in tariff (10 kWp roof-top photovoltaics, new installation) vs. average electricity

tariff for households (typical German household, 3 people, 3,500 kWh/year). [Sources: IWR, BMU, BNetzA, BDEW]

In 2013, the German government launched a 25-million-Euro program to further incentivize RBS

installations in conjunction with roof-top PV for home owners (KfW, 2013). New installations of RBS,

together with small-scale PV, are eligible for a grant of up to 30 % of the RBS’s net price. This

program has probably raised interest in the new technology. Manufacturers as well as utilities are

trying to push RBS into the market4, and they are considering potential new business models around

the battery systems. Little research has been published on the RBS economics and their perceived

value proposition. In our study, we investigated the following questions:

4 Most recently, EWE – one of Germany’s top-5 utilities – launched their RBS “EQOO” (http://eqoo.ewe.de/) which is

advertised as a “carefree package”: 10-year guarantee on the RBS, five-year fixed-price contract for residual electricity supply, individual services, EUR 2,000 bonus (in addition to the government’s KfW program) for the first 100 customers, etc.

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(1) What are the economics of an RBS in conjunction with PV? How much is the value of maximized

own consumption, and does it amortize the total cost of ownership of an RBS?

(2) What is the customers’ perceived value proposition of an RBS, and how high is their willingness

to pay? Which role for the purchasing decision do “soft factors” (self-sufficiency, environmental

concerns, etc.) play?

(3) The study concludes with a brief discussion and an outlook on potential international markets

which might be better suited for the sale of RBS.

Figure 2 gives an overview of RBS options which were available on the German market around mid-

2013 (note that there has been a very dynamic market development, i.e. the figure is unlikely to be

fully up-to-date). The systems are compared by their economic indicators “effective capacity” and

“price”. Also, the systems are distinguished by their underlying battery technology (lead- or lithium-

ion-based). For a more detailed comparison, other indicators (peak power for charging/discharging,

low-load operation, lifespan and number of charging/discharging cycles, energy efficiency, interfaces,

etc.) should be considered as well.

Figure 2: Market overview of selected residential battery systems (RBS) in Germany, 2013. “Pb” denotes lead-based

batteries, “Li” lithium-ion-based batteries. [Sources: providers’ websites, research by André Huschke; Focus magazine, 2013]

2 Functional principle of RBS in conjunction with photovoltaics (PV)

This study does not focus on technical details of residential battery systems (RBS), yet their

functional principal should be briefly discussed. RBS are usually designed as integrated power

management units, consisting of a battery stack (lithium-ion batteries in the advanced systems), an

DC/AC inverter module, power and control electronics, AC and DC interfaces, and internet

connection (figure 3).

Some RBS make separate DC/AC converter modules redundant and can be directly connected to the

DC output of the PV module. The RBS automatically monitors the balance between PV generation

and electricity demand in the house. First priority is always maximum coverage of the instantaneous

electricity demand. Any excess electricity from the on-site PV module will be used to charge the

battery stack in the RBS. Only when the battery has been fully charged, further excess electricity will

be fed into the grid to earn the fixed feed-in tariff. When the PV generation falls below the current

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electricity demand in the house (e.g., during night hours or cloudy weather), the battery will be

discharged. The RBS is equipped with a DC/AC converter module and will route AC electricity (230 V,

50 Hz in Germany) to the on-site consumers. When the battery is fully discharged, the RBS’s power

management will draw power from the grid. Most RBS provide an additional uninterrupted power

supply (UPS) function. Also, RBS are usually equipped with telecommunication interfaces for data

exchange (remote maintenance of the system, monitoring the system status with mobile devices)

and connections to home automation systems. Further solutions could be included, such as a DC/DC

interface for electric vehicles (e-mobility).

Figure 3: Functional principle of an RBS in conjunction with PV, E-mobility is an optional add-on.

3 Methods: economic model, customer survey, structural equation model

3.1 Model-based estimation of RBS’s expected profitability

With a model-based approach, the expected profitability of residential battery systems (RBS) has

been analyzed. The battery helps home owners maximize the share of on-site consumption of

electricity from their own roof-top photovoltaics (PV). The battery operation has been modelled as

outlined in figure 3: excess electricity which is not needed instantaneously is stored for consumption

during evening and night hours, therefore saving money for external electricity supply from the grid.

For the further discussion, the following terms shall be defined:

EPV = EPV,on-site direct + Eexcess (eq. 1)

Eexcess = ERBS + Efeed-in (eq. 2)

with: EPV ....................... total annual electricity generation from on-site PV

EPV,on-site direct .. annual electricity from PV which is directly used for on-site self-supply

Eexcess ................. annual excess PV generation

ERBS ..................... annual excess PV generation which is stored in the RBS

Efeed-in ................ annual excess PV generation which is fed into the grid

Ehousehold = EPV,on-site direct + Eresidual (eq. 3)

Eresidual = · ERBS + Egrid (eq. 4)

with: Ehousehold ........... the household’s total annual electricity demand

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Eresidual ............... annual residual electricity demand in addition to direct PV on-site use

........................... total efficiency of the RBS

Egrid ..................... annual electricity supply from the grid

Ctotal = Egrid · Pgrid – Efeed-in · Pfeed-in (eq. 5)

with: Ctotal .................... total annual cost of electricity for the household

Pgrid ..................... price of electricity supply from the grid (EUR per kWh)

Pfeed-in ................ feed-in tariff for excess PV generation fed into the grid (EUR per kWh)

Based on the given load and generation profiles, the model calculates the “E” variables in (eq. 1) to

(eq. 4), both for the PV stand-alone case and the PV & RBS case. In the PV stand-alone case (ERBS = 0),

the total annual cost of electricity will be:

Ctotal,PV = (Ehousehold – EPV,on-site direct) · Pgrid – (EPV – EPV,on-site direct) · Pfeed-in (eq. 5-a)

In the PV & RBS case, the total annual cost of electricity will be:

Ctotal,PV&RBS = (Ehousehold – EPV,on-site direct – · ERBS) · Pgrid

– (EPV – EPV,on-site direct – ERBS) · Pfeed-in (eq. 5-b)

With a Pgrid significantly higher than Pfeed-in, the following relation will always be fulfilled, i.e. the

annual electricity bill in the PV & RBS case will be lower than in the PV stand-alone case:

Ctotal,PV&RBS < Ctotal,PV Pgrid >> Pfeed-in (eq. 6)

The annual revenue R from an RBS is the difference between Ctotal,PV and Ctotal,PV&RBS:

R = Ctotal,PV – Ctotal,PV&RBS (eq. 7)

We define the pay-back PB of an RBS as the net present value (NPV) of all annual revenues Rt over

the T years lifespan of the RBS:

∑ (

( ) )

∑ (

( ) ( ))

(eq. 8)

with: T ........................... expected lifespan (years) of the RBS

Rt .......................... revenue from the RBS in year t

q ........................... discount rate (cost of capital)

We define the degree of self-supply as the percentage of the household’s overall electricity demand

which is actually covered by on-site PV generation. Obviously, the degree of self-supply will

increase with the availability of an RBS:

with < 100 % (eq. 9)

Given data availability and time constraints, it was not yet possible to design the model for analyses

of a broader variety of locations, system configurations, load and PV profiles. For the time being, the

existing model serves as one case study for a typical RBS-PV setup in Germany and is based on the

following data and assumptions:

(1) Time interval: the model is based on 15-minute time intervals for all 366 days in 2012 (2012 was

a leap year). The 15-minute interval is in line with most load and generation profiles which are

publicly available – even though it is certainly a substantial simplification. Finer time resolution

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might be needed to better account for very sharp power gradients. Current research5 will shed

more light on the question of what the ideal time interval in models like ours should be.

(2) Load profile: the 15-minute/366-day load profile for the household in our model has been

represented by an H0 standard load profile (SLP) provided by EWE6, a major German grid

operator (DSO). We consider the SLP a suitable proxy for an average household, knowing that

SLPs have substantial limitations. Since an SLP always reflects a statistical average of various

households, it will always flatten sharp power peaks. Our current research aims at developing

high-resolution load profiles for different types of individual households which will then allow for

more realistic stress tests of the RBS.

(3) PV generation profile: Stadtwerke Bühl, our partnering municipal utility in southern Germany

(near Stuttgart), kindly provided their 15-minute/366-day reference profile for electricity

generation from roof-top PV. In the future, the model will be extended by a variety of load

profiles from other locations (a synthetic PV profile, based on geographic coordinates and

irradiation data, will be implemented5).

(4) Feed-in tariffs for new built PV modules were 0.17 €/kWh in January 2013 according to BNetzA7,

with an expected 20 % degression per year: Pfeed-in,2013 = 0.17 €/kWh, Pfeed-in,2014 = 0.136 €/kWh.

(5) Electricity prices for private households averaged 0.256 €/kWh in 20138, with an expected

average electricity price increase of 4.7 % per year: Pgrid,2013 = 0.256 €/kWh, Pgrid,2014 =

0.268 €/kWh.

(6) RBS: as a reference technology, we defined a Li-ion-based RBS with an effective capacity of

4.0 kWh. The following additional assumptions have been made: overall efficiency of one

charging/discharging cycle = 95 %; peak power for charging/discharging 2.0 kW; lifespan T =

20 years. In our reference scenario, this RBS is installed in a house with 7.0 kWp PV and an annual

electricity demand of Ehousehold = 5,000 kWh.

(7) Cost of capital is assumed to be q = 3.1 % per year.

Given the current state of the model, assumptions (1) to (3) are invariant. Assumptions (4) to (7) are

variable, as well as various technical parameters9. We are currently refining the model with regard to

assumptions (1) to (3), implementing a much broader range of load and generation profiles which

will allow for analyses of locations outside Germany10. The refined model will also include other

applications besides PV, such as the connection with a domestic micro CHP (combined head and

power) and the provision of primary control energy11.

3.2 Customer survey on purchasing criteria and willingness to pay

In the empirical part of the study, the customer perspective was investigated. 2,134 customers of a

“typical” municipal utility, Stadtwerke Bühl in southern Germany, were invited to take an online

5 Ongoing research by Anselm Eicke and Markus Graebig (TU Berlin).

6 Downloaded from http://www.ewe-netz.de/strom/1988.php on 2013-04-06.

7 BNetzA (Bundesnetzagentur, Federal Network Agency for Electricity, Gas, Telecommunications, Post and Railway),

http://www.bundesnetzagentur.de/cln_1911/DE/Sachgebiete/ElektrizitaetGas/ErneuerbareEnergienGesetz/VerguetungssaetzePVAnlagen/VerguetungssaetzePhotovoltaik_node.html#doc149586bodyText4, accessed on 2013-04-07

8 Stadtwerke Bühl tariffs

9 The following parameters are variable (values for the reference scenario are put in parentheses): the household’s total

annual electricity demand (Ehousehold = 5,000 kWh); PV peak capacity (7.0 kWp); degradation of PV peak capacity (0.5 %

p.a.); RBS effective capacity (4.0 kWh); overall efficiency of one RBS charging/discharging cycle ( = 95 %); peak power for charging/discharging (2.0 kW); RBS lifespan (N = 20 years) which is defined as the time when the effective storage capacity has degraded by 15 %.

10 Ongoing research by Richard Schwausch and Markus Graebig (TU Berlin).

11 Ongoing research by Heiko Birkholz, André Huschke and Markus Graebig (TU Berlin).

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survey about RBS. 360 private customers (16.9 %) finished the entire survey. It covered questions on

customer expectations and concerns, perceived value proposition, willingness to pay, and

sociodemographic data. Also, potential drivers for the “intention of use” were measured in a sub-

study, based on a structural equation model (see chapter 3.3).

3.3 Structural equation modelling for the analysis of RBS’s perceived value proposition

The purpose of this sub-study is to gain an initial insight into both the customer expectations and the

perceived value proposition regarding RBS. Very little research has been published on RBS

acceptance. We suggested that not only financial considerations but also “soft factors”, particularly

the desire of becoming more independent from the electricity supplier (self-sufficiency), may play an

important role for the purchasing decision. This hypothesis was tested in the empirical study by

means of structural equation modelling. The Technology Acceptance Model (TAM) by Davis (1989) is

a leading theoretical foundation for measuring the customer´s intention to use a new technology.

We developed our research design based on Davis’ TAM structure in which a person’s attitude

towards using a technology is directly influenced by the technology’s perceived usefulness and its

perceived ease of use. The attitude towards using a technology drives the intention to use which

appears to be an appropriate indicator for the actual use. Based on expert interviews and our own

experience, the basic model was extended by the following three latent variables.

(1) Personal innovativeness: We derived this construct from Agarwal/Prasad (1998), originally

applied in the information technology (IT) context, and included measures that describe “the

willingness of an individual to try out any new (…) technology”.

(2) Subjective norm: In line with the theory of reasoned action (Fishbein/Aizen 1975),

Venkatesh/Davis (2000) revised the original TAM version and included subjective norm as an

additional construct. It is defined as a “person’s perception that most people who are important

to him think he should or should not perform the behavior in question” (Fishbein and Ajzen 1975,

p. 302). Customers may use an RBS, despite any individual cost-benefit consideration, just

because they believe that this is their contribution to the “Energiewende” (transition from fossil

fuels and nuclear power to renewable energy). Previous research is ambiguous about the effect

of subjective norms on customers’ intentions: Mathieson (1991) found no significant effect of

subjective norms on intention while Taylor and Todd (1995) did find a significant effect.

(3) Being self-sufficient: For various reasons, an increasing number of home owners seem to wish to

(a) actively contribute to an innovative, decentralized energy system, (b) cover their own

electricity needs and ensure for security of supply, and (c) become independent from their utility

company. Our construct “being self-sufficient” includes four items to measure these aspects.

Our theoretical model is shown in figure 4 where each hypothesis is marked with an arrow.

Figure 4: Theoretical research model for structural equation modelling.

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The abovementioned constructs are represented by tested and proven measures. Some items have

been adapted and modified, especially in the “being self-sufficient” construct. “Subjective norm” and

“personal innovativeness” are represented as single measure items. All other latent variables are

measured using reflective multi-item scales. The empirical assessment is based on the answers of

319 private customers who finished this part of our survey (see paragraph 3.2).

For the data analysis, we applied the structural equation analysis (SEA). SEA is a methodology for

describing and exploring complex interrelationships between a large number of manifest and latent

variables. This involves the a priori postulated impact relationships between the variables which are

transferred into a linear equation system and the parameters are then assessed (Weiber/Mühlhaus

2010, 17). One weakness of the classic SEA is the need for extensive previous knowledge of the

interrelationships between the model variables and their respective characteristics (e.g. direction,

course of operation) when formulating the hypotheses (Dorniok 2012, 316 et seq.). This is quite

challenging in explorative studies like ours and should be kept in mind when assessing the results.

Also, potential non-linear relationships will be neglected in simplistic linear models (Dorniok 2012,

317).

The Universal Structural Equation modelling (USM) approach is better suited to cope with these

challenges (Buckler-Hennig-Thurau 2008). The USM was first implemented by Buckler (2001) in the

NEUSREL software. As an advanced, causal-analytical composite methodology, both USM and

NEUSREL are linked to the PLS approach (Buckler 2001). With the structural model assessment, a

universal regression based on artificial neural networks (ANN) is used instead of linear regression.

NEUSREL is based on Bayes’ neural networks (BNN) (Buckler 2001). Depending on the initial

information, ANNs can be structurally altered and are adaptive (Dorniok 2012, 318). Researchers

with limited previous knowledge are now able to discover and analyse a priori unknown

interrelationships, external variable effects and non-linear structures through an automated process

(Buckler 2001, 181 et seq.; Weiber/Mühlhaus 2010, 273). Dorniok (2012, 318) concludes with

reference to Buckler/Hennig-Thurau (2008), Buckler (2010) and Weiber/Mühlhaus (2010) that "up to

now no disadvantages of universal structural equation models compared to conventional structural

equation methods have been ascertained in the literature". In view of our research questions and the

disadvantages of classic SEA approaches, we decided to use USM/NEUSREL to test our hypotheses.

The assessment works in three phases: first, the expected relationships are put into a so-called a

priori matrix. Second, the construct values for all latent endogenous and exogenous variables are

determined (Buckler 2001, 189), using the PLS approach. All interdependencies between manifest

and latent variables are analyzed, using neuronal networks (Buckler 2001; Dorniok 2012, 319).

Finally, at the post-processing level, the results of the BNN are extracted (Weiber/Mühlhaus 2010,

270), including causal directions of action, external variable effects, and functional effect

relationships between the variables (Weiber/Mühlhaus 2010, 270). Linear path coefficients (or LPC

value) and non-linear path coefficients (or NLCP value) are determined. The overall explained

absolute deviation (OEAD) measures the extent of the linear and non-linear influence of an

independent variable on a dependent variable (Buckler 2001; Dorniok 2012, 319). NEUSREL also

assesses the quality of the measurement model and the overall model. The coefficient of

determination R² shows the percentage of an influenced variable that is explained by the causal

variables. The overall “goodness of fit” (GoF) is calculated based on Tenenhaus et al. (2005).

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4 Results

4.1 Model-based results: degree of self-supply, pay-back, expected profitability

All results are calculated for an RBS with an effective capacity of 4.0 kWh. Figure 5 shows the degree

of self-supply (eq. 9) which can be achieved, given the installed photovoltaics capacity (ranging

from 3.0 to 10.0 kWp) and the annual electricity demand Ehousehold (ranging from 3,000 to

10,000 kWh/year). The “degree of self-supply” is the percentage of the household’s overall

electricity demand which is actually covered by on-site PV generation. Even though the total

electricity generation from on-site photovoltaics EPV may well exceed the household’s total electricity

demand Ehousehold, the degree of self-supply will be still significantly below 100 % because not all of

the electricity demand can be instantaneously covered by PV or taken from the battery. Even with a

very large battery in conjunction with a high PV capacity, 100 % self-supply is practically impossible,

given that there will be always some cloudy, dark and cold periods during the year. Therefore, within

reasonable limits of RBS and PV size, the household cannot become fully self-sufficient. Other backup

systems, typically the grid, are necessary. Figure 7 shows a comparison of degrees of self-supply in

the PV stand-alone case and in the PV & RBS case. In the reference case (annual electricity demand

Ehousehold = 5,000 kWh, PV capacity 7.0 kWp), the RBS increases the degree of self-supply from 42.0 %

to 64.2 %.

Figure 5: Degree of self-supply with a 4.0 kWheff RBS.

The expected pay-back PB (eq. 8) of a 4.0 kWheff RBS, depending on the installed PV capacity and the

annual electricity demand, is shown in figure 6. The figure illustrates that the PV and RBS

components should be carefully adjusted to the expected annual electricity demand Ehousehold. For a

given combination of RBS capacity and PV capacity, there is an optimal annual electricity demand

Ehousehold which yields a maximum pay-back. For a 4.0 kWheff RBS and 7.0 kWp PV (figure 7), this

optimum is around Ehousehold = 5,000 kWh with a pay-back of PB EUR 4,000 – calculated under the

optimistic assumption of T = 20 years lifespan. For T = 15 years, the pay-back is PB EUR 2,700.

Current purchasing prices for a 4.0 kWheff RBS (figure 2) are in the range of EUR 6,000 (lead-based

systems) to EUR 12,000 (Li-ion-based systems) – not included any maintenance, repair, or running

expenses of the system. Even under very optimistic assumptions, an RBS is currently not cost-

efficient. Considering a Li-ion-based systems, the pay-back is likely to range between 1/4 and 1/3 of

the purchasing price.

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Figure 6: Pay-back of a 4.0 kWheff RBS over N = 20 years lifespan.

Figure 7: Degree of self-supply and 20-year pay-back of RBS for different electricity demands.

4.2 Empirical results: purchasing criteria and willingness to pay

Customers expressed an extremely positive attitude towards RBS (figure 8). Almost no interviewee

disliked the basic idea of an RBS, 78 % could envision using an RBS, and almost 14 % replied that they

were actually planning on purchasing an RBS. To put these answers into perspective, it should be

noted that the survey was conducted in a comparatively wealthy city with a high share of one-family

houses. Nevertheless, these answers support the hypothesis that in principle, there could be a

significant demand for RBS in Germany.

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Figure 8: Intentions to use an RBS (n = 360).

Regarding the perceived value proposition of RBS (figure 9), financial considerations play the most

important role. As expected, customers wish to save money through higher self-supply, and they are

trying to protect themselves against future electricity price rises. Remarkably, “soft factors” are

similarly important as the financials, with “self-sufficiency” as the biggest goal.

Figure 9: Perceived value proposition of RBS: top-5 reasons for being interested in an RBS (n = 360).

Finally, we tried to understand the customers’ willingness to pay for RBS. The interviewees had the

choice between two modes of payment – purchasing with a one-time payment (either cash or loan)

or leasing with a monthly fee. 50 % preferred the purchasing option, one quarter preferred the

leasing option, and the others did not indicate any preference (figure 10). Arguably, customers in less

wealthy cities might have shown less interest in a one-time cash payment.

Figure 10: Willingness to pay for RBS.

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The interviewees were then asked what they would consider a fair price (one-time purchasing price

or monthly leasing fee, respectively). Assuming a moderate interest rate and a 10-year leasing

contract, EUR 10 monthly leasing fee is equivalent to a EUR 1,000 one-time purchasing price. If

customers were purely financially driven, they should not have offered more than the expected pay-

back, i.e. no more than EUR 4,000 (see paragraph 4.1). This threshold is indicated with the dotted red

line in figure 10. A surprisingly large number of customers seem to be prepared to pay a price

premium beyond the EUR 4,000 threshold, especially those customers who prefer the leasing model.

Those customers offering more than EUR 10,000 (one-time purchasing) or EUR 100 (monthly leasing

fee) could be the early adopters – their willingness to pay is sufficiently high to afford the RBS

technology under current circumstances. Note that the interviewees did not know our financial

analysis outlined in paragraph 4.1.

4.3 Model-based results: perceived value proposition

Overall, the measurement model validation process yields reasonable results (table 1). However,

with regard to selected Cronbach Alpha values, future studies should pay special attention to the

construct’s items in order to enhance the validation results.

Latent Variable Cronbach´s Alpha (> 0.7)

Average explained variance (≥ 0.5)

Composite reliability (≥ 0.6)

Perceived usefulness 0.83 0.55 0.73

Perceived ease of use 0.75 0.52 0.68

Attitude towards use 0.79 0.63 0.81

Being self-sufficient 0.69 0.52 0.69

Intention to use 0.64 0.73 0.91 Table 1: Validation of measurement models

The structural model yields a reasonable GoF of 0.67, i.e. the empirically gathered data is adequately

reflected by the model estimate (Dorniok 2012, 323). The R2 values (perceived usefulness R2 = 0.59,

attitude towards use R2 = 0.70 and intention to use R2 = 0.65) show robust results. Figure 11 shows

the findings of the USM-/NEUSREL-based causal analysis. The path from “personal innovativeness” to

“attitude towards use” is not significant, and the path from “subjective norm” to “intention to use” is

below the cut-off value of 0.1 (Lohmöller, 1989). All other paths are above the cut-off value and

statistically significant. All paths from “being self-sufficient” are relevant and comparatively strong.

Figure 11: Tested research model with path coefficients (cut-off value: > 0.1) and t-values (cut-off value: > 1.98).

Finally, we analyzed the effect strength using the overall explained absolute deviation (OEAD). We

found a very strong link between attitude and intention to use (0.52) as well as a medium effect

strength between perceived usefulness and attitude towards using (0.27), being self-sufficient and

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perceived usefulness (0.39) and attitude toward using (0.31). Hence, “being self-sufficient” is a

relevant factor which influences a person´s attitude towards RBS.

5 Conclusions: cost-efficiency, value proposition

As a result from the model-based approach, a typical German home owner (5,000 kWh annual

electricity demand, 7 kWp roof-top PV, RBS with 4 kWh effective capacity, current feed-in tariffs for

“green electricity” and expected price trajectory for electricity supply) in the very optimistic

reference scenario may yield a total benefit (NPV) between EUR 2,700 and 4,000 from the RBS over

its expected lifetime (15 or 20 years, respectively). The residential self-supply with electricity would

increase from 42 % (stand-alone PV) to 64 % (PV & RBS). Given current prices for state-of-the-art Li-

ion-based RBS (Focus, 2013), this equals a pay-back in the order of one third of the RBS’s purchasing

price – not considering any maintenance or running expenses. Even the cheapest available lead-

based RBS will not be amortized. In the medium term, pay-back of Li-ion-based RBS is unlikely to

exceed 50 %. However, under very favorable circumstances (rising electricity prices, decreasing feed-

in tariffs, strong economy of scale for batteries), RBS may eventually become cost-efficient.

In the online survey, the majority of customers expressed strong interest in RBS. Top-5 reasons for

customers to be interested in RBS are:

“saving money through higher PV self-supply” (80 % of all customers interested in RBS),

“avoiding future electricity price rises” (70 %),

“independent electricity supply for my home (self-sufficiency)” (69 %),

environmental concerns (66 %), and

the contribution to the “Energiewende” (61 %).

The structural equation model shows that a somewhat vague concept of “self-sufficiency” is the

most important monetary and nonmonetary driver for customers to be interested in RBS. While

“cutting electricity bills” is stated as the most important purchasing criteria, it appears that many

customers do not have a clear concept of the RBS economy (participants of the survey did not know

about the model-based results stated in paragraph 4.1). More than 50 % of the interviewees with a

general interest in RBS indicated a willingness to pay which exceeded the RBS’s realistic pay-back.

6 Discussion and outlook

Li-ion based residential battery systems (RBS) will not become cost-efficient for German users in the

foreseeable future. Eventually, the system might become cost-efficient, provided that electricity

prices continue to rise dynamically, feed-in tariffs for “green electricity” are cut, and RBS benefits

from a substantial economy of scale, especially with regard to Li-ion batteries. However, customers

indicate a substantial willingness to pay for RBS beyond its expected pay-back, which is mostly

justified with soft factors such as the desire to increase “self-sufficiency”.

In any case, Germany is probably not the ideal market for RBS, even though the technology is being

stimulated with government subsidies as one element of decentralized energy systems under the

“Energiewende” (energy turnaround) regime. Since the German electricity grid provides excellent

security of supply, other incentives for using an RBS – such as the need to cope with outages – are

lacking. On a global scale, other markets might be much more promising:

(1) Off-grid applications, e.g. rural areas without any permanent electricity supply. PV and RBS might

be the first and only option for electrification, not only powering villages but also infrastructure

such as cell phone towers.

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(2) Unstable grids. Even in some countries of the western world, certain regions are prone to

blackouts. Customers in these regions should be interested in RBS as a means of uninterrupted

power supply (USP).

(3) Life-style markets. The German case stands as an example for a market where the use of RBS is

neither cost-efficient nor physically needed. However, some customers are able and willing to

pay for soft factors such as self-sufficiency. Similar to the German case, there might be other

wealthy regions where customers are responsive to such “life-style” products.

The general results of this study appear to be robust, even though they are based on a simplified

model which should be extended and refined. We are currently working on a more detailed model.

As outlined in paragraph 3.1, we will test the time interval (currently 15 minutes) for the load and

generation profiles and implement a broader range of high-resolution load and generation profiles.

The model will then allow for more realistic stress tests of the RBS and for the analysis of regions

outside Germany.

During a field test with two German utilities, it was suggested that RBS may offer additional value

beyond linking with PV systems. These are starting points for future studies: first, and very similar to

the roof-top PV, the RBS could be connected to a micro-CHP (combined heat and power) unit, a

residential heating unit with co-generation of electricity. The micro-CHP produces electricity as an

inexpensive side-product that can be stored for consumption as and when required. Second, a large

number of residential battery systems may be interconnected to a “battery cloud” which then acts

like one big battery, ready to sell system services such as balancing power to the TSO (transmission

system operator). Third, RBS could help utilities keep their “foot in the customer’s door” while

traditional electricity sales are shrinking. If the utility positions itself as a preferred provider of RBS,

this may serve as the anchor point for a variety of new business models or simply as a first

component of a modular “smart home”.

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7 References

Agarwal, R./Prasad, J. (1998), A conceptual and operational definition of personal innovativeness in

the domain of information technology. Information Systems Research, 9 (2), 204 – 215.

AGEB (2000), German Energy Balance 2000, last accessed on 2014-03-27 from http://www.ag-

energiebilanzen.de/EN/downloads/energy-balance-2000-to-2011/energy-balance-2000-to-

2011.html.

BDEW (2014), Energie-Info und Foliensatz – Erneuerbare Energien und das EEG: Zahlen, Fakten,

Grafiken, BDEW (German Association of Energy and Water Industries) newsletter from 2014-02-25.

Buckler, F. (2001), NEUSREL – ein neuer Kausalanalyseansatz auf Basis neuronaler Netze als

Instrument der Marketingforschung, Göttingen.

Buckler, F./Hennig-Thurau, T. (2008), Identifying Hidden Structures in Marketing’s Structural Models

Through Universal Structure Modeling. An Explorative Bayesian Neural Network Complement to

LISREL and PLS, Marketing, Journal of Research and Management, 4 (2), pp. 47–66.

Davis, F. D. (1989), Perceived Usefulness, Perceived Ease of Use, and User Acceptance of Information

Technology, MIS Quarterly, 13 (3), pp. 319–340.

Dorniok, D. (2012), Die Einschätzung der Differenz von Wissen und Nichtwissen bei

Unternehmensberatern. Ergebnisse eines universellen Strukturgleichungsmodells, ZfbF, 64, 308–340.

Fishbein, M./Aizen, I. B. (1975), Attitude Intention & Behavior an Introduction theory and Research

Reading, Massachusetts.

Focus (2013-06-08), Marktüberblick Solarstrom-Speicher, last accessed on 2014-01-08 from

http://www.focus.de/ immobilien/energiesparen/solarenergie/tid-31894/strom-im-eigenen-keller-

speichern_aid_1017784.html.

KfW (2013), Erneuerbare Energien – Speicher, Kredit 275, last accessed on 2014-01-08 from

https://www.kfw.de/inlandsfoerderung/Privatpersonen/Bestandsimmobilie/F%C3%B6rderprodukte/

Erneuerbare-Energien-%E2%80%93-Speicher-(275)/#1.

Lohmöller, J. B. (1989), Latent Variable Path Modeling With Partial Least Squares, Heidelberg.

Mathieson, K. (1991), Predicting user intentions: Comparing the technology acceptance model with

the theory of planned behavior, Information Systems Research, 2 (3), 173–191.

Taylor, S./Todd, P. A. (1995), Understanding information technology usage: a test of competing

models, Information Systems Research, 6 (2), 144–176.

Weiber, R./Mühlhaus, D. (2010), Strukturgleichungsmodellierung. Eine anwendungsorientierte

Einführung in die Kausalanalyse mit Hilfe von AMOS, SmartPLS und SPSS, Berlin/Heidelberg.

Venkatesh, V./Davis, F. D. (2000), A Theoretical Extension of the Technology Acceptance Model: Four

Longitudinal Field Studies, Management Science, 46 (2), 186–204.