A System Dynamics Evaluation of a Sustainable Energy-Efficiency Business Model Integrating Performance Contracting, Supply Contracting, and Savings Insurance
Abstract
1. Introduction
2. Literature Review
2.1. Energy Efficiency Business Models
2.2. System Thinking and SD in Business Modelling
3. Methodology
3.1. Problem Review
3.2. Business Model Design and KPI Development
3.3. Model Implementation
3.4. Evaluation and Feedback Collection
3.5. Refinement
3.6. Model Validation and Recommendations
4. Systems Thinking and SD Modelling
4.1. Business Model KPIs to System Thinking Model
4.2. Business Model to SD Model
- Measurement units are specified for each sub-KPI.
- A “Type in SD” column classifies each KPI’s role within the SD framework.
- “Flow” represents a rate variable that causes stocks to accumulate or deplete over time.
- “Variable” represents an auxiliary variable calculated from other model components.
- “Data Table” represents a lookup function that maps an input value to an output based on empirical or assumed data points.
- Mathematical formulas are adapted for individual SMEs and the aggregated main model.
- Input data sources for each KPI are recorded.
- Each KPI group is colour-coded: green for energy KPIs, orange for financial KPIs, blue for emission-reduction KPIs, and yellow for customer population.
4.3. SD and Model Validation
- (A)
- Test of Model-Related Context
- Issue Identification Test: This test assesses the model’s capacity to identify and accurately represent critical issues within the system under study. It ensures the model captures the most relevant aspects of the real problem. This involves examining the model structure, assumptions, and market input data to accurately represent essential system features and business model variables.
- System Configuration Test: This test validates the model’s structure and its representation of relationships between system components. It ensures the model structure aligns with business model KPIs, System Thinking, and SD models by comparing the SD model structure with the System Thinking model and verifying that algorithms accurately translate required business model functions.
- System Improvement Test: This test compares the model’s output with historical data or empirical evidence. Data were divided into two sets, one for SD model development and one for validation. Outputs were then compared to available evidence using identical inputs.
- (B)
- Test of Model Structure and Behaviour
- Direct Extreme Condition Test: This test subjected the SD model to extreme input values to assess its stability. It ensured the model behaved reasonably and in line with expected system responses. This process identified any issues in the model’s structure, assumptions, or parameters that might not appear under normal conditions. By pushing input parameters to their limits and comparing the model’s responses with the original data from Section 5.1 across case studies and aggregated models, necessary refinements or further validation could be identified.
- Behaviour Sensitivity Test: Input parameters and assumptions were systematically varied within reasonable ranges to analyse changes in model output. This aimed to evaluate robustness and identify any uncertainties from input variability. This test highlighted variables with strong influence on model behaviour, guiding refinement and supporting decision-making under uncertainty. These validation steps strengthened confidence in the model’s reliability and credibility.
5. Results Analysis and Discussion
5.1. Secondary Data Analysis
5.2. SD Output Analysis
5.3. Sensitivity Analysis Results
5.4. Discussion
5.5. Policy Implications
6. Conclusions and Future Work
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
| SEEBM | Sustainable Energy Efficiency Business Model |
| SME | Small and Medium-sized Enterprise |
| EPC | Energy Performance Contracting |
| ESC | Energy Supply Contracting |
| ESI | Energy Saving Insurance |
| SD | System Dynamics |
| DBR | Design-Based Research |
| KPI | Key Performance Indicator |
| RES | Renewable Energy Systems |
| EEM | Energy Efficiency Measures |
| ESCO | Energy Service Companies |
| NWh | Negative Watt-hours |
| EU | European Union |
| UK | United Kingdom |
| IEA | International Energy Agency |
| IoT | Internet of Things |
| SWOT | Strengths, Weaknesses, Opportunities, Threats |
| PAYS | Pay As You Save |
| MWh | Megawatt-hour |
| kWp | Kilowatt-peak |
| tCO2 | Tonnes of Carbon Dioxide |
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| New Business Model KPIs | ||
|---|---|---|
| Economic KPIs | Environmental KPIs | Social KPIs |
|
|
|
| KPIs Description | Sub KPIs | Unit | Type in SD | Equation in Sub-Model (Single SME BM) | Equation in Main Model (Aggregated SME Sub-Models) | Input Data ‘‘Source’’ | |
|---|---|---|---|---|---|---|---|
| Energy Supply Analysis | |||||||
| 1 | Imported Energy Supply | Electrical Imported Energy | Mwh/Month | Flow | Electrical Imported Energy = MAX (New Electrical Energy Demand − RES Generation, 0) | Total Electrical Imported Energy = Number of End Consumers × SUM (Electrical Imported Energy across SMEs) | Calculated |
| 2 | Energy saving | Total Electrical Energy Saving | Mwh/Month | Flow | Total Electrical Energy Saving = Electrical Energy Consumption × Electric Energy Saving Rate | Total Electrical Energy Saving = Number of End Consumers × SUM (Total Electrical Energy Saving across SMEs) | Calculated |
| Total Thermal Energy Saving | Mwh/Month | Flow | Total Thermal Energy Saving = Thermal Energy Consumption × Thermal Energy Saving Rate | Total Thermal Energy Saving = Number of End Consumers × SUM (Total Thermal Energy Saving across SMEs) | Calculated | ||
| Total Energy Saving | Mwh/Month | Flow | Total Energy Saving = Total Electrical Energy Saving + Total Thermal Energy Saving | Total Energy Saving = Number of End Consumers × SUM (Total Energy Saving across SMEs) | Calculated | ||
| Electrical energy Saving percentage per measure (EEM 1,2,3 &4) | % | Variable | Electrical Energy Saving Percentage per Measure = Input × Electric Energy Saving Rate | - | [5] | ||
| Electric Energy Saving Rate | Unit | Variable | Electric Energy Saving Rate = Electric Energy Saving Rate (Main Model) | Electric Energy Saving Rate (Main Model) = Variable Input | 1 | ||
| Thermal energy Saving percentage per measure (EEM 1,2,3 &4) | % | Variable | Thermal Energy Saving Percentage per Measure = Input × Thermal Energy Saving Rate | - | [5] | ||
| Thermal energy Saving rate | Unit | Variable | Thermal Energy Saving Rate = Thermal Energy Saving Rate (Main Model) | Thermal Energy Saving Rate (Main Model) = Variable Input | 1 | ||
| Electrical Energy Consumption | Mwh/Month | Data Table 1 & Flow | Electrical Energy Consumption = Value from Electrical Energy Consumption Data Table | Total Electrical Energy Consumption = Number of End Consumers × SUM (Electrical Energy Consumption across SMEs) | [5] | ||
| Thermal Energy Consumption | Mwh/Month | Data Table 2 & Flow | Thermal Energy Consumption = Value from Thermal Energy Consumption Data Table | Total Thermal Energy Consumption = Number of End Consumers × SUM (Thermal Energy Consumption across SMEs) | [5] | ||
| New Electrical Energy Demand | Mwh/Month | Flow | New Electrical Energy Demand = MAX (Electrical Energy Consumption − Total Electrical Energy Saving, 0) | Total New Electrical Energy Demand = Number of End Consumers × SUM (New Electrical Energy Demand across SMEs) | Calculated | ||
| New Thermal Energy Demand | Mwh/Month | Flow | New Thermal Energy Demand = MAX (Thermal Energy Consumption − Total Thermal Energy Saving, 0) | Total New Thermal Energy Demand = Number of End Consumers × SUM (New Thermal Energy Demand across SMEs) | Calculated | ||
| 3 | Local Energy Generation | RES Kwp | Kw | Variable | RES kWp = Input | Total RES kWp = Number of End Consumers × SUM (RES kWp across SMEs) | [5] |
| Local Energy Generation Rate | Unit | Variable | Local Energy Generation Rate = Local Energy Generation Rate (Main Model) | Local Energy Generation Rate (Main Model) = Variable Input | 1 | ||
| Annual RES Generation/Kwp | Mwh | Variable | Annual RES Generation per kWp = Annual RES Generation per kWp (Main Model) | Annual RES Generation per kWp (Main Model) = Input | [35] | ||
| Data Table | %/Month | Data Table | Monthly RES Profile = Input | - | [35] | ||
| RES Generation | Mwh/Month | Flow | RES Generation = RES kWp × Local Energy Generation Rate × Annual RES Generation per kWp × Monthly RES Profile | Total RES Generation = Number of End Consumers × SUM (RES Generation across SMEs) | Calculated | ||
| Export to Energy Suppliers | Mwh/Month | Flow | Export to Energy Suppliers = MAX (RES Generation − New Electrical Energy Demand, 0) | Total Export to Energy Suppliers = Number of End Consumers × SUM (Export to Energy Suppliers across SMEs) | Calculated | ||
| Financial Analysis | |||||||
| 4 | Energy Price | Diesel Price | € | Variable | Diesel Price = Diesel Price (Main Model) | Diesel Price (Main Model) = Input | [36] |
| Natural Gas Price | € | Variable | Natural Gas Price = Natural Gas Price (Main Model) | Natural Gas Price (Main Model) = Input | [36] | ||
| LPG Price | € | Variable | LPG Price = LPG Price (Main Model) | LPG Price (Main Model) = Input | [36] | ||
| Thermal Energy Price | € | Variable | Thermal Energy Price = Diesel Price OR Natural Gas Price OR LPG Price | - | Ref. [5] input by the user, either the Diesel Price Natural Gas Price LPG Price | ||
| Electric Energy Price | € | Variable | Electric Energy Price = Electric Energy Price (Main Model) × Inflation Rate | Electric Energy Price (Main Model) = Input | [36] | ||
| Inflation Rate, or the electricity price change rate | unit | Variable | Inflation Rate = Inflation Rate (Main Model) | Inflation Rate (Main Model) = Variable Input | 1 | ||
| Electrical Energy Export Price Rate | % | Variable | Export Price Rate = Export Price Rate (Main Model) | Export Price Rate (Main Model) = Input | 33% | ||
| 5 | Revenues | Total Revenue | €/Month | Flow | Total Revenue = (Electrical Imported Energy + Total Electrical Energy Saving + (Export to Energy Suppliers × Export Price Rate)) × Electric Energy Price + (New Thermal Energy Demand + Total Thermal Energy Saving) × Thermal Energy Price | Total Revenue = Number of End Consumers × SUM (Total Revenue across SMEs) | Calculated |
| 6 | Imported Energy Cost Rate | Imported Electrical Energy Cost Rate | % | Variable | Imported Electrical Energy Cost Rate = Imported Electrical Energy Cost Rate (Main Model) | Imported Electrical Energy Cost Rate (Main Model) = Variable Input | 95% |
| Imported Thermal Energy Cost Rate | % | Variable | Imported Thermal Energy Cost Rate = Imported Thermal Energy Cost Rate (Main Model) | Imported Thermal Energy Cost Rate (Main Model) = Variable Input | 95% | ||
| 7 | EEM Cost | Cost EEM (1,2,3…8) | € | Variable | EEM Cost = Input | - | [5] |
| 8 | RES Cost | RES Cost | €/Kwp | Variable | RES Cost = RES Cost (Main Model) | RES Cost (Main Model) = Input | [5] |
| 9 | Interest Rate | Interest Rate | % | Variable | Interest Rate = Interest Rate (Main Model) | Interest Rate (Main Model) = Variable Input | 7% |
| 10 | Costs | Total Investment (Indirect Cost) | € | Variable | Total Investment = (1 + (Interest Rate × Loan Period)) × (EEM Cost + (RES Cost × RES kWp)) | Total Investment = Number of End Consumers × SUM (Total Investment across SMEs) | Calculated |
| Direct Cost | €/Month | Flow | Direct Cost = (Electrical Imported Energy × Electric Energy Price × Imported Electrical Energy Cost Rate) + (New Thermal Energy Demand × Thermal Energy Price × Imported Thermal Energy Cost Rate) | Direct Cost = Number of End Consumers × SUM (Direct Cost across SMEs) | Calculated | ||
| Total Cost | €/ Month | Flow | Total Cost = Direct Cost + IF (time < Loan Period, Total Investment/Loan Period, 0) | Total Cost = Direct Cost (Main Model) + IF (time < Loan Period, Total Investment (Main Model)/Loan Period, 0) | Calculated | ||
| 11 | Profits | Total Profits | €/ Month | Flow | Total Profits = Total Revenue − Total Cost | Total Profits = Total Revenue (Main Model) − Total Cost (Main Model) | Calculated |
| Gross Margin | €/ Month | Flow | Gross Margin = Total Revenue − Direct Cost | Gross Margin (Main Model) = Total Revenue (Main Model) − Direct Cost (Main Model) | Calculated | ||
| Cumulative Profits | € | Stock | Cumulative Profits = INTEGRAL (Total Profits) | Cumulative Profits = INTEGRAL (Total Profits in Main Model) | Calculated | ||
| Pay Back Period | Month | Variable | Pay Back Period = MAX (Cumulative Profits − Total Investment, 0) | Pay Back Period = MAX (Cumulative Profits − Total Investment, 0) | Calculated | ||
| 12 | Contract period with end customers | Contract Period | Month | Study Time Frame | Contract Period = Contract Period (Main Model) | Contract Period (Main Model) = Input | 48 |
| 13 | Loan Period | Loan Period | Month | Variable | Loan Period = Loan Period (Main Model) | Loan Period (Main Model) = Input | 6 to 48 |
| Emissions Reduction Analysis | |||||||
| 14 | Emissions are reduced per year | Diesel Emissions | tCo2/Mwh | Variable | Diesel Emissions = Diesel Emissions (Main Model) | Diesel Emissions (Main Model) = Input | [37] |
| Natural Gas Emissions | tCo2/Mwh | Variable | Natural Gas Emissions = Natural Gas Emissions (Main Model) | Natural Gas Emissions (Main Model) = Input | [37] | ||
| LPG Emissions | tCo2/Mwh | Variable | LPG Emissions = LPG Emissions (Main Model) | LPG Emissions (Main Model) = Input | [37] | ||
| Thermal Energy Emissions | tCo2/Mwh | Variable | Thermal Energy Emissions = Diesel Emissions OR Natural Gas Emissions OR LPG Emissions | - | Input by user, either Diesel Emissions or Natural Gas Emissions or LPG Emissions | ||
| Electrical Energy Emission Embedded | tCo2/Mwh | Variable | Electrical Energy Emission Embedded = Electrical Energy Emission Embedded (Main Model) × Electrical Energy Emission Embedded Change Rate | Electrical Energy Emission Embedded (Main Model) = Input | [37] | ||
| Electrical Energy Emission Embedded Change Rate | Unit | Variable | Electrical Emission Change Rate = Electrical Emission Change Rate (Main Model) | Electrical Emission Change Rate (Main Model) = Input | 1 | ||
| Emissions Reduction | tCo2/Month | Flow | Emissions Reduction = (Total Electrical Energy Saving + RES Generation) × Electrical Energy Emission Embedded + Total Thermal Energy Saving × Thermal Energy Emissions | Emissions Reduction = Number of End Consumers × SUM (Emissions Reduction across SMEs) | Calculated | ||
| Cumulative Emission Reduction | tCo2 | Stock | Cumulative Emission Reduction = INTEGRAL (Emissions Reduction) | Cumulative Emission Reduction = INTEGRAL (Emissions Reduction (MM)) | Calculated | ||
| 15 | Emission Reduction Cost | Emissions Reduction Cost | €/tCo2 | Variable | Emissions Reduction Cost = Total Investment/Cumulative Emission Reduction | Emissions Reduction Cost = Total Investment (MM)/Cumulative Emission Reduction (MM) | Calculated |
| 16 | Number of end consumers (SMEs) | One Project Lot Factor (45 case studies aggregated). | Unit | Variable | Number of End Consumers = Number of End Consumers (Main Model) | Number of End Consumers (Main Model) = Input | 1 |
| Case Study | Investment Required (€) | Saved Energy (MWh/Year) | Cost Saving (€) | Reduced Emissions (tCO2) | Payback Period (Years) | EEM Saving Rate (%) |
|---|---|---|---|---|---|---|
| Source of Data | Data kept the same as the SMEmPower Site Evaluation Report [5] | Data kept the same as the SMEmPower Site Evaluation Report [5] | Calculated Data based on actual market energy prices [36] | Calculated Data based on actual embedded emissions in kWh of energy (Thermal or Electrical) [37] | Calculated | Calculated |
| Equation Used | N.A | N.A | Energy Price × Saved Energy | Emissions embedded in kWh × Saved energy | Investment/Cost Saving | Saved Energy MWh in a year/total energy consumption per year |
| Output | Unit | SMEmPower Data | SD Base Model Data |
|---|---|---|---|
| Total Investment | € | 9,699,977 | 9,708,395 |
| Total Profits | €/year | 3,642,457 | 11,087,355 |
| Total Energy Saving | Mwh/Year | 42,923 | 29,784.8 |
| Emissions Reduction | tCO2/Year | 21,852.3 | 6555 |
| Payback Period | Months | 36 to 72 | 10 |
| Nb | Variable Input | Range | Step Value | Sensitivity Analysis SD Model Input | Figure |
|---|---|---|---|---|---|
| 1 | Contract Period (same as loan period) [Months] | 1 to 72 | 0.72 | [1, 72, 100] | Figure 11 |
| 2 | Electric Energy Saving Rate [%] | 1 to 31 | 0.3 | [1, 31, 100] | Figure 12 |
| 3 | Thermal Energy Saving Rate [%] | 1 to 31 | 0.3 | [1, 31, 100] | Figure 13 |
| 4 | Inflation rate and/or electricity price change [%] | 0.2 to 3 | 0.028 | [0.2, 3, 100] | Figure 14 |
| 5 | Imported Energy Cost Rate (Commission Rate) [%] | −5 to 5 | 0.5 | [−5, 5, 20] | Figure 15 |
| 6 | Local Energy Generation Rate [%] | 0.1 to 40 | 0.39 | [0.1, 40, 100] | Figure 16 |
| 7 | Interest Rate [%] | 1 to 21 | 0.2 | [1, 21, 100] | Figure 17 |
| 8 | Electrical Energy Emissions Change Rate [%] | 1 to 61 | 0.6 | [1, 61, 100] | Figure 18 |
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Kadri, U.; Dawood, N.; Al-Bazi, A.; Akinade, O. A System Dynamics Evaluation of a Sustainable Energy-Efficiency Business Model Integrating Performance Contracting, Supply Contracting, and Savings Insurance. Energies 2026, 19, 2030. https://doi.org/10.3390/en19092030
Kadri U, Dawood N, Al-Bazi A, Akinade O. A System Dynamics Evaluation of a Sustainable Energy-Efficiency Business Model Integrating Performance Contracting, Supply Contracting, and Savings Insurance. Energies. 2026; 19(9):2030. https://doi.org/10.3390/en19092030
Chicago/Turabian StyleKadri, Usain, Nashwan Dawood, Ammar Al-Bazi, and Olugbenga Akinade. 2026. "A System Dynamics Evaluation of a Sustainable Energy-Efficiency Business Model Integrating Performance Contracting, Supply Contracting, and Savings Insurance" Energies 19, no. 9: 2030. https://doi.org/10.3390/en19092030
APA StyleKadri, U., Dawood, N., Al-Bazi, A., & Akinade, O. (2026). A System Dynamics Evaluation of a Sustainable Energy-Efficiency Business Model Integrating Performance Contracting, Supply Contracting, and Savings Insurance. Energies, 19(9), 2030. https://doi.org/10.3390/en19092030

