Submitted:
08 October 2024
Posted:
09 October 2024
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Abstract

Keywords:
1. Introduction
- The proposed methodology integrates elements for obtaining energy shortage, congestion in transmission network, regional reserve margin performance, power plant installation regions that could significantly impact emissions reduction, and technologies with higher/lower plant factors.
- Disaggregated data is included for different parameters such as generation cost, availability factors, or regional transmission capacity.
- The case studies, which are a crucial part of this research, demonstrate the importance of disaggregating data for the identification of vulnerabilities in decarbonization scenarios of a Power Electrical System.
- The general economic dispatch model is extended to contemplate the characteristics of the SEN using four different sets of variables and parameters (technologies, generation regions, consumption regions, and time steps).
- The model’s programming runs under the open-source platform Python Optimization Modelling (PYOMO), which is freely available in the repository https://github.com/IhanKaydarin/Multi-regional-time-step-and-technology-economic-dispatch
2. Problem Statement and Methodology
- Characterization of electrical power system
- Mathematical modeling
- Data collection
- Model programming
- Input/output templates
- Results
- Identification of vulnerabilities
2.1. Characterization of Electrical Power System
2.2. Mathematical Modeling
2.2.1. Assumptions
2.2.2. Objective Function
2.2.3. Restrictions
2.3. Data Collection
2.4. Model Programming
2.5. Input/Output Templates
2.6. Results
- Hourly energy shortage: It can be determined if any restrictions are unmet. There are diverse reasons why this situation could occur, such as the low availability of intermittent technologies, congestion or limited transmission capacity, or the region’s lack of self-supply capacity. Nevertheless, it is possible to overcome this inconvenience by proposing an extra technology with the highest generation cost so that when it is dispatched, the quantity, hours, and region of missing energy can be known.
-
Hours of congestion on transmission lines: This aspect is obtained by counting the hours in which the energy transmitted from one region to another is equal to or greater than 90% of the link capacity. This calculation is shown in equations 6 and 7.Those links with the highest number of hours of congestion represent the regions with the most significant external power dependence, high potential to increase the national transmission network, and areas of opportunity to reduce generation costs.
- Regional reserve margin performance: This factor identifies the regions vulnerable to changes in the generation availability of the power units installed in the region. In addition, those regions that meet the indicative values established in the reliability policy are identified. The regional reserve margin is determined through Equation (8):
- Regions where power plants are installed that could significantly impact reducing emissions must be identified: The plants with the highest emission factor and the highest generation must be identified. Nevertheless, it is essential to remember that proposing to install a new plant with a low emission factor requires a more exhaustive analysis than described in this research.
- Technologies with higher/lower capacity factor: This parameter provides valuable information regarding the units essential for energy supply and the underutilized plants.
3. Case Studies and Assumptions
3.1. Characterization of SEN
3.2. Mathematical Modeling
3.2.1. Assumptions for SEN 2025
- International interconnections are not considered.
- Availability factors are averaged for thermoelectric, combined cycle, coal-fired, turbogas, internal combustion, fluidized bed, geothermal, bioenergy, cogeneration, and nuclear technologies.
- The total installed capacity for each technology in each region was used.
- The generation cost considers the levelized fuel cost, the regional increase in fuel costs, and the operation and maintenance cost.
- Availability factors for thermal technologies are annual averages.
- Seasons of unavailability due to preventive maintenance of the plants are not considered.
3.2.2. Objective Function of SEN 2025
3.2.3. Restrictions of SEN 2025
- Supply hourly demand by consumption region and time step:
- Maximum power generation by technology, generation region and time step:
- Maximum power grid capacity:
- No negativity:
3.3. Data Collection
3.4. Model Programming
3.5. Input/Output Templates for SEN 2025
3.6. Results of SEN 2025
3.6.1. Hourly Energy Shortage
3.6.2. Hours of Congestion on Transmission Lines
3.6.3. Regional Reserve Margin Performance
3.6.4. Regions Where Power Plants Are Installed That Could Significantly Impact Reducing Emissions Must be Identified
3.6.5. Technologies with Higher/Lower Capacity Factor
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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| Parameter/Variable | Sets | Number of values | |||
|---|---|---|---|---|---|
| Technologies (13) |
Generation region (9) |
Consumption region (9) |
Time steps (8760) |
||
| Cost | X | X | X | X | 9224280 |
| Demand | X | X | 78840 | ||
| Availability factor | X | X | X | 1024920 | |
| Installed capacity | X | X | X | 1024920 | |
| Transmission capacity | X | X | X | 709560 | |
| Energy dispatch | X | X | X | X | 9224280 |
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