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Presenting a Mathematical model for optimizing the costs of energy production and consumption processes in the electricity industry using the Lagrangian method
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Nosrat a. . Mirzaei   , Reza Ehtesham rasi * , Alireza Irajpour |
| Qazvin Islamic Azad University |
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Abstract: (35 Views) |
The generation of electrical energy for power systems with the aim of minimizing the total production cost for active units in the power grid is one of the most important issues for modern systems today. In other words, the goal of economic load distribution is optimal and appropriate planning for generating units, taking into account the nonlinear factors and constraints in the power grid and generating units. The present research method is descriptive-applied with a mathematical modeling approach and using case study data from the Shahid Rajaee Power Plant in Qazvin. In this research, the problem of economic load distribution, considering nonlinear constraints such as transmission network losses, the system production and consumption balance equation, production limits, and incremental and decremental rates, has become an optimization/NP Hard problem and cannot be solved with exact methods, so we decided to use the Lagrange coefficient method. Simulation results show that this method is a fast method with acceptable accuracy and much lower cost compared to conventional methods, and the research validation was also carried out using the design of experiments method.
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Article number: 4 |
| Keywords: Optimization, Cost, energy consumption, electricity |
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Full-Text [PDF 1144 kb]
(18 Downloads)
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Type of Study: Research |
Subject:
Special
Received: 2025/03/13 | Accepted: 2025/11/26 | Published: 2025/12/2
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