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Journal articles on the topic 'Non-convex economic power dispatch'

Author: Grafiati

Published: 4 June 2025

Last updated: 1 August 2025

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1

Lamba, Prof Kanika. "Economic Load Dispatch." International Journal for Research in Applied Science and Engineering Technology 9, no. VI (2021): 1646–51. http://dx.doi.org/10.22214/ijraset.2021.35330.

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ELD or Economic load dispatch is an online process of allocating generating among the available generating units to minimize the total generating cost and satisfy the equality and inequality constraint. ELD means the real and reactive power of the generator vary within the certain limits and fulfils theload demand with less fuel cost. There are some traditional methods for = 1; 2; :::;N) isgiven as Vi=[Vi;1; Vi;2; :::; Vi;D]. The index ivaries from solving ELD include lambda irritation method, Newton-Raphson method, Gradient method, etc. All these traditional algorithms need the incremental fu

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Dhiman, Gaurav, Sen Guo, and Satnam Kaur. "ED-SHO: A framework for solving nonlinear economic load power dispatch problem using spotted hyena optimizer." Modern Physics Letters A 33, no. 40 (2018): 1850239. http://dx.doi.org/10.1142/s0217732318502395.

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This paper presents the application of recently developed metaheuristic optimization algorithm, the spotted hyena optimizer, for solving both convex and non-convex economic dispatch problems. The proposed algorithm has been tested on various test systems (i.e. 6, 10, 20, and 40 generators systems) and compared with other well-known approaches to demonstrate its effectiveness and efficiency. The results show that the proposed algorithm is able to solve economic load power dispatch problem and converge toward the optimum with low computational efforts.

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Sahni, Anita, and Dr K. T. Chaturvedi. "An Efficient Algorithm for Economic Load Dispatch Considering Valve Point Loading Effect." International Journal of Engineering and Advanced Technology 11, no. 5 (2022): 91–95. http://dx.doi.org/10.35940/ijeat.e3534.0611522.

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A simple and efficient algorithm is proposed for solving the economic dispatch problem of power system with valve point discontinuities employing a particle swarm optimization based approach. Evolutionary methods such as GA and PSO are known to perform better than conventional gradient based optimization methods for non convex optimization problems. This reactive power management in economic load dispatches plays a vital role in improving power quality of the system. The power compensation and economic load dispatches is major problem in distribution network. The power is maintain the state of

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Anita, Sahni, and K. T. Chaturvedi Dr. "An Efficient Algorithm for Economic Load Dispatch Considering Valve Point Loading Effect." International Journal of Engineering and Advanced Technology (IJEAT) 11, no. 5 (2022): 91–95. https://doi.org/10.35940/ijeat.E3534.0611522.

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<strong>Abstract:</strong> A simple and efficient algorithm is proposed for solving the economic dispatch problem of power system with valve point discontinuities employing a particle swarm optimization based approach. Evolutionary methods such as GA and PSO are known to perform better than conventional gradient based optimization methods for non convex optimization problems. This reactive power management in economic load dispatches plays a vital role in improving power quality of the system. The power compensation and economic load dispatches is major problem in distribution network. The pow

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5

Vo, Dieu N., Peter Schegner, and Weerakorn Ongsakul. "Cuckoo search algorithm for non-convex economic dispatch." IET Generation, Transmission & Distribution 7, no. 6 (2013): 645–54. http://dx.doi.org/10.1049/iet-gtd.2012.0142.

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6

Nahas, Nabil, Mohamed Noomane Darghouth, and Mohammed Abouheaf. "A Non-Linear-Threshold-Accepting Function Based Algorithm for the Solution of Economic Dispatch Problem." RAIRO - Operations Research 54, no. 5 (2020): 1269–89. http://dx.doi.org/10.1051/ro/2019043.

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This article introduces a novel heuristic algorithm based on Non-Linear Threshold Accepting Function to solve the challenging non-convex economic dispatch problem. Economic dispatch is a power system management tool; it is used to allocate the total power generation to the generating units to meet the active load demand. The power systems are highly nonlinear due to the physical and operational constraints. The complexity of the resulting non-convex objective cost function led to inabilities to solve the problem by using analytical approaches, especially in the case of large-scale problems. Op

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Rabiee, Abbas, Mohammad Jamadi, Behnam Mohammadi-Ivatloo, and Ali Ahmadian. "Optimal Non-Convex Combined Heat and Power Economic Dispatch via Improved Artificial Bee Colony Algorithm." Processes 8, no. 9 (2020): 1036. http://dx.doi.org/10.3390/pr8091036.

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It is well accepted that combined heat and power (CHP) generation can increase the efficiency of power and heat generation at the same time. With the increasing penetration of CHPs, determination of economic dispatch of power and heat becomes more complex and challenging. The CHP economic dispatch (CHPED) problem is a challenging optimization problem due to non-linearity and non-convexity in both objective function and constraints. Hence, in this paper a novel meta-heuristic algorithm, namely improved artificial bee colony (IABC) algorithm is proposed to solve the CHPED problem. The valve-poin

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Rabii, A., S. Mobaieen, B. Mohamady, and A. Suroody. "A New Heuristic Algorithm for Solving Non-convex Economic Power Dispatch." Journal of Applied Sciences 11, no. 23 (2011): 3791–96. http://dx.doi.org/10.3923/jas.2011.3791.3796.

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Mohammadi-ivatloo, Behnam, Abbas Rabiee, Alireza Soroudi, and Mehdi Ehsan. "Imperialist competitive algorithm for solving non-convex dynamic economic power dispatch." Energy 44, no. 1 (2012): 228–40. http://dx.doi.org/10.1016/j.energy.2012.06.034.

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10

V.P., Sakthivel, Suman M., and Sathya P.D. "Large-scale economic load dispatch using squirrel search algorithm." International Journal of Energy Sector Management 14, no. 6 (2020): 1351–80. http://dx.doi.org/10.1108/ijesm-02-2020-0012.

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Purpose Economic load dispatch (ELD) is one of the crucial optimization problems in power system planning and operation. The ELD problem with valve point loading (VPL) and multi-fuel options (MFO) is defined as a non-smooth and non-convex optimization problem with equality and inequality constraints, which obliges an efficient heuristic strategy to be addressed. The purpose of this study is to present a new and powerful heuristic optimization technique (HOT) named as squirrel search algorithm (SSA) to solve non-convex ELD problems of large-scale power plants. Design/methodology/approach The su

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Ahmed, Ijaz, Um-E.-Habiba Alvi, Abdul Basit, et al. "A novel hybrid soft computing optimization framework for dynamic economic dispatch problem of complex non-convex contiguous constrained machines." PLOS ONE 17, no. 1 (2022): e0261709. http://dx.doi.org/10.1371/journal.pone.0261709.

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The reformations of the electrical power sector have resulted in very dynamic and competitive market that has changed many elements of the power industry. Excessive demand of energy, depleting the fossil fuel reserves of planet and releasing the toxic air pollutant, has been causing harm to earth habitats. In this new situation, insufficiency of energy supplies, rising power generating costs, high capital cost of renewable energy equipment, environmental concerns of wind power turbines, and ever-increasing demand for electrical energy need efficient economic dispatch. The objective function in

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Torchani, A., A. Boudjemline, H. Gasmi, Y. Bouazzi, and T. Guesmi. "Dynamic Economic/Environmental Dispatch Problem Considering Prohibited Operating Zones." Engineering, Technology & Applied Science Research 9, no. 5 (2019): 4586–90. http://dx.doi.org/10.48084/etasr.2904.

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Along with economic dispatch, emission dispatch has become a key problem under market conditions. Thus, the combination of the above problems in one problem called economic emission dispatch (EED) problem became inevitable. However, due to the dynamic nature of today’s network loads, it is required to schedule the thermal unit outputs in real-time according to the variation of power demands during a certain time period. Within this context, this paper presents an elitist technique, the second version of the non-dominated sorting genetic algorithm (NSAGII) for solving the dynamic economic emiss

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Khoa, Truong H., Pandian M. Vasant, Balbir Singh Mahinder Singh, and V. N. Dieu. "Hybrid Mean-Variance Mapping Optimization for Non-Convex Economic Dispatch Problems." International Journal of Swarm Intelligence Research 8, no. 4 (2017): 34–59. http://dx.doi.org/10.4018/ijsir.2017100103.

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The economic dispatch (ED) is one of the important optimization problems in power system generation for fuel cost saving. This paper proposes a hybrid variant of mean-variance mapping optimization (MVMO-SH) for solving such problem considering the non-convex objective functions. The new proposed method is a hybrid variant of the original mean-variance mapping optimization algorithm (MVMO) with the embedded local search and multi-parent crossover to enhance its global search ability and improve solution quality for optimization problems. The proposed MVMO-SH is tested on different non-convex ED

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Abdullah, M. N., A. F. A. Manan, J. J. Jamian, S. A. Jumaat, and N. H. Radzi. "Gbest Artificial Bee Colony for Non-convex Optimal Economic Dispatch in Power Generation." Indonesian Journal of Electrical Engineering and Computer Science 11, no. 1 (2018): 187. http://dx.doi.org/10.11591/ijeecs.v11.i1.pp187-194.

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Non-convex Optimal Economic Dispatch (OED) problem is a complex optimization problem in power system operation that must be optimized economically to meet the power demand and system constraints. The non-convex OED is due to the generator characteristic such as prohibited operation zones, valve point effects (VPE) or multiple fuel options. This paper proposes a Gbest Artificial Bee Colony (GABC) algorithm based on global best particle (gbest) guided of Particle Swarm Optimization (PSO) in Artificial bee colony (ABC) algorithm for solving non-convex OED with VPE. In order to investigate the eff

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Abid, Anum, Tahir Nadeem Malik, and Muhammad Mansoor Ashraf. "Combined Emission Economic Dispatch of Power System in Presence of Solar and Wind Using Flower Pollination Algorithm." July 2019 38, no. 3 (2019): 581–98. http://dx.doi.org/10.22581/muet1982.1903.05.

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ED (Economic Dispatch) problem is one of the vital step in operational planning. It is a nonconvex constrained optimization problem. However, it is solved as convex problem by approximation of machine input/output characteristics, thus resulting in an inaccurate result. Reliable, secure and cheapest supply of electrical energy to the consumers is the prime objective in power system operational planning. Increase in fuel cost, reduction in fossil-fuel assets and ecological concerns have forced to integrate renewable energy resources in the generation mix. However, the instability of wind and so

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Roy, Subhajit, Kuntal Bhattacharjee, and Aniruddha Bhattacharya. "A Modern Approach to Solve of Economic Load Dispatch using Group Leader Optimization Technique." International Journal of Energy Optimization and Engineering 6, no. 1 (2017): 66–85. http://dx.doi.org/10.4018/ijeoe.2017010104.

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Economic load dispatch plays an important role of power system operation & control by using different soft techniques that have been used to solve convex and non-convex economic load dispatch (ELD) problems. This paper presents a new global optimization algorithm to the economic load dispatch problems for minimization of fuel cost of generations with different constraints such as ramp rate limits, valve-point loading and prohibited operating zones of large-scale thermal plants. Power transmission loss has also been considered in few cases. Group leader optimization algorithm (GLOA) is a re

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17

Montoya, Oscar Danilo, Walter Gil-González, Federico Martin Serra, Jesus C. Hernández, and Alexander Molina-Cabrera. "A Second-Order Cone Programming Reformulation of the Economic Dispatch Problem of BESS for Apparent Power Compensation in AC Distribution Networks." Electronics 9, no. 10 (2020): 1677. http://dx.doi.org/10.3390/electronics9101677.

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The problem associated with economic dispatch of battery energy storage systems (BESSs) in alternating current (AC) distribution networks is addressed in this paper through convex optimization. The exact nonlinear programming model that represents the economic dispatch problem is transformed into a second-order cone programming (SOCP) model, thereby guaranteeing the global optimal solution-finding due to the conic (i.e., convex) structure of the solution space. The proposed economic dispatch model of the BESS considers the possibility of injecting/absorbing active and reactive power, in turn,

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18

Ragunathan, Ramamoorthi, and Balamurugan Ramadoss. "Golden jackal optimization for economic load dispatch problems with complex constraints." Bulletin of Electrical Engineering and Informatics 13, no. 2 (2024): 781–93. http://dx.doi.org/10.11591/eei.v13i2.6572.

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This research paper uses the golden jackal optimization (GJO), a novel meta-heuristic algorithm, to address power system economic load dispatch (ELD) problems. The GJO emulates the hunting behavior of golden jackals. GJO algorithm uses the cooperative attacking behavior of golden jackals to tackle complicated optimization problems efficaciously. The objective of ELD problem is to distribute power system load requirement to the different generators with a minimum total fuel cost of generation. ELD problems are highly complex, non-linear, and non-convex optimization problems while considering co

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Kim, Kwang-Ki K. "Distributed Learning Algorithms and Lossless Convex Relaxation for Economic Dispatch with Transmission Losses and Capacity Limits." Mathematical Problems in Engineering 2019 (June 13, 2019): 1–11. http://dx.doi.org/10.1155/2019/9159851.

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This paper considers problems of economic dispatch in power networks that contain independent power generation units and loads. For efficient distributed economic dispatch, we present a mechanism of multiagent learning in which each agent corresponding to a generation unit updates the power generation based on the received information from the neighborhood. The convergence of the proposed distributed learning algorithm to the global optimal solution is analyzed. Another method of distributed economic dispatch we propose is a decentralized iterative linear projection method in which the necessa

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Baba, TH, Y. Itamoto, and R. Lima. "On the non-convex economic power dispatch problem using artificial bee colony." Annals of Electrical and Electronic Engineering 1, no. 3 (2018): 6–10. http://dx.doi.org/10.21833/aeee.2018.03.002.

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Spea, Shaimaa R. "Non-convex constrained economic power dispatch with prohibited operating zones and piecewise quadratic cost functions." International Journal of Electrical and Computer Engineering (IJECE) 10, no. 5 (2020): 4469. http://dx.doi.org/10.11591/ijece.v10i5.pp4469-4477.

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This paper is focused on the solution of the non-convex economic power dispatch problem with piecewise quadratic cost functions and practical operation constraints of generation units. The constraints of the economic dispatch problem are power balance constraint, generation limits constraint, prohibited operating zones and transmission power losses. To solve this problem, a meta-heuristic optimization algorithm named crow search algorithm is proposed. A constraint handling technique is also implemented to satisfy the constraints effectively. For the verification of the effectiveness and the su

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Shaimaa, R. Spea. "Non-convex constrained economic power dispatch with prohibited operating zones and piecewise quadratic cost functions." International Journal of Electrical and Computer Engineering (IJECE) 10, no. 5 (2020): 4469–77. https://doi.org/10.11591/ijece.v10i5.pp4469-4477.

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This paper is focused on the solution of the non-convex economic power dispatch problem with piecewise quadratic cost functions and practical operation constraints of generation units. The constraints of the economic dispatch problem are power balance constraint, generation limits constraint, prohibited operating zones and transmission power losses. To solve this problem, a meta-heuristic optimization algorithm named crow search algorithm is proposed. A constraint handling technique is also implemented to satisfy the constraints effectively. For the verification of the effectiveness and the su

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23

Geem, Zong Woo, and Yoon-Ho Cho. "Handling non-convex heat-power feasible region in combined heat and power economic dispatch." International Journal of Electrical Power & Energy Systems 34, no. 1 (2012): 171–73. http://dx.doi.org/10.1016/j.ijepes.2011.08.024.

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Niknam, Taher, Hasan Doagou Mojarrad, and Hamed Zeinoddini Meymand. "A new particle swarm optimization for non-convex economic dispatch." European Transactions on Electrical Power 21, no. 1 (2010): 656–79. http://dx.doi.org/10.1002/etep.468.

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López Hernández, Octavio, David Romero Romero, and Mohamed Badaoui. "Economic Dispatch of Combined Cycle Power Plant: A Mixed-Integer Programming Approach." Processes 12, no. 6 (2024): 1199. http://dx.doi.org/10.3390/pr12061199.

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In this article, we present a modification to the Economic Dispatch (ED) model that addresses the non-convex nature of the cost curves associated with a Combined Cycle Power Plant (CCPP). Incorporating a binary variable provides greater precision in solving the combinatorial problem in only one simulation and, most importantly, demonstrates cost minimization among the three different cost curve models for dispatching the CCPP. Our results highlight the importance of considering different demand scenarios based on a reference forecast for one day ahead. Therefore, piecewise modeling is more fea

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M., N. Abdullah, F. A. Manan A., J. Jamian J., A. Jumaat S., and H. Radzi N. "Gbest Artificial Bee Colony for Non-Convex Optimal Economic Dispatch in Power Generation." Indonesian Journal of Electrical Engineering and Computer Science 11, no. 1 (2018): 187–94. https://doi.org/10.11591/ijeecs.v11.i1.pp187-194.

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Non-convex Optimal Economic Dispatch (OED) problem is a complex optimization problem in power system operation that must be optimized economically to meet the power demand and system constraints. The nonconvex OED is due to the generator characteristic such as prohibited operation zones, valve point effects (VPE) or multiple fuel options. This paper proposes a Gbest Artificial Bee Colony (GABC) algorithm based on global best particle (gbest) guided of Particle Swarm Optimization (PSO) inArtificial bee colony (ABC) algorithm for solving non-convex OED with VPE. In order to investigate the effec

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Awais, Hafiz Muhammad, Tahir Nadeem Malik, and Aftab Ahmad. "Artificial Algae Algorithm with Multi-Light Source Movement for Economic Dispatch of Thermal Generation." Mehran University Research Journal of Engineering and Technology 39, no. 3 (2020): 564–82. http://dx.doi.org/10.22581/muet1982.2003.12.

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Economic Dispatch (ED) is one of the major concerns for the efficient and economical operation of the modern power system. Actual ED problem is non-convex in nature due to Ramp Rate Limits (RRL), Valve-Point Loading Effects (VPLE), and Prohibited Operating Zones (POZs). It is generally converted into a convex problem as mathematical programming based approaches cannot handle the non-convex cost functions except dynamic programming, which also suffers from the curse of dimensionality. Heuristic techniques are potential solution methodologies for solving the non-convex ED problem. Artificial Alg

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Mahender, K., Gundala Srinivasa Rao, Gangula Kamalakar, S. Venkateshwarlu, Swathi Polasa, and Harish Pulluri. "Optimizing Combined Heat and Power Economic Dispatch Using a Differential Evolution Algorithm." E3S Web of Conferences 616 (2025): 02025. https://doi.org/10.1051/e3sconf/202561602025.

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The electrical load dispatch (ELD) optimizes the scheduling of various power plants to deliver the necessary power at the lowest operational cost. Implementing combined heat and power (CHP) units in contemporary power systems enhances energy efficiency and generates less environmental pollution compared to conventional units by producing electricity and heat at the same time. As a result, the ELD issue, including CHP units, transforms into a non-linear and non-convex challenge called CHP economic dispatch (CHPED), which aims to meet electrical and thermal demands at the lowest operational cost

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K., Sarker, Roy B., Sarker J., and Santra D. "Solution for Different Convex and Non-Convex Economic Dispatch Problems for Large Scale System by Stochastic Search Algorithm." Journals of Advancement in Machines 4, no. 2 (2019): 23–36. https://doi.org/10.5281/zenodo.3356692.

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The main objective of the Economic Load Dispatch (ELD) is to determine the power by all committed generating units so that generating cost is minimized, while satisfying the load demand and inequality constraints. This paper represents an algorithm motivated by the ‘law of gravity’ and interaction among the masses to solve ELD problems, called ‘Gravitational Search Algorithm’. This proposed algorithm has been tested on some standard power systems including 40-unit, 110-unit, 140-unit, 160-unit, 320-unit systems using different non-linear effect like valve point loading,

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Jena, C., M. Basu, and C. K. Panigrahi. "Improved Differential Evolution for Combined Heat and Power Economic Dispatch." International Journal of Emerging Electric Power Systems 17, no. 2 (2016): 151–63. http://dx.doi.org/10.1515/ijeeps-2015-0065.

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Abstract This paper presents an improved differential evolution to solve non-smooth non-convex combined heat and power economic dispatch (CHPED) problem. Valve-point loading and prohibited operating zones of conventional thermal generators are taken into account. Differential evolution (DE) exploits the differences of randomly sampled pairs of objective vectors for its mutation process. Consequently the variation between vectors will outfit the objective function toward the optimization process and therefore provides efficient global optimization capability. However, although DE is shown to be

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Basu, Mousumi. "Modified Particle Swarm Optimization for Non-smooth Non-convex Combined Heat and Power Economic Dispatch." Electric Power Components and Systems 43, no. 19 (2015): 2146–55. http://dx.doi.org/10.1080/15325008.2015.1076906.

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Ko, Jun Seog, Surender Reddy Salkuti, and Chan Mook Jung. "Solving non-convex economic dispatch with prohibited zones using artificial fish swarm optimization." International Journal of Engineering & Technology 7, no. 2.18 (2018): 1. http://dx.doi.org/10.14419/ijet.v7i2.18.11200.

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In this paper, a novel approach is proposed to solve the non-convex and discontinuous economic dispatch (ED) problem of power system with thermal power plants. All the practical constraints (loss constraint, generators ramp rate constraints and network constraints) are considered for solving the ED problem. Here, the proposed ED problem is solved by considering the generators with valve point loading (VPL) effects and prohibited operating zones (POZs) effects. In this paper, to solve this practical ED problem, an evolutionary based Artificial Fish Swarm Optimization Algorithm (AFSOA) is utiliz

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Hota, Prakash Kumar, and Nakul Charan Sahu. "Non-Convex Economic Dispatch with Prohibited Operating Zones through Gravitational Search Algorithm." International Journal of Electrical and Computer Engineering (IJECE) 5, no. 6 (2015): 1234. http://dx.doi.org/10.11591/ijece.v5i6.pp1234-1244.

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This paper presents a new approach to the solution of optimal power generation for economic load dispatch (ELD) using gravitational search algorithm (GSA) when all the generators include valve point effects and some/all of the generators have prohibited operating zones. In this paper a gravitational search algorithm is suggested that deals with equality and inequality constraints in ELD problems. A constraint treatment mechanism is also discussed to accelerate the optimization process<strong>. </strong>To verify the robustness and superiority of the proposed GSA based approach, a p

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Kashyap, Manish, Dr Achala Jain, and Vinita Swarnakar. "Economic Load Dispatch by Improved Drone Optimization Technique." International Journal of Recent Technology and Engineering (IJRTE) 11, no. 2 (2022): 149–52. http://dx.doi.org/10.35940/ijrte.b7180.0711222.

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In this paper, the ELD problem is resolved via ABC (Artificial BEE Colony) technique. The major goal of this study is to use the IDO method to present very efficient & reliable approach for solving ED problem in Power system. The suggested approach is used to solve a variety of non-convex ED issues, including banned operating zones with ramp rate constraints. This problem is described as an optimization of the objective function and minimization of the overall operating cost while gratifying all allied constraints, accompanied by the lowest down & up time limitations, startup cost, and

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Manish, Kashyap, Achala Jain Dr., and Swarnakar Vinita. "Economic Load Dispatch by Improved Drone Optimization Technique." International Journal of Recent Technology and Engineering (IJRTE) 11, no. 2 (2022): 149–52. https://doi.org/10.35940/ijrte.B7180.0711222.

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<strong>Abstract: </strong>In this paper, the ELD problem is resolved via ABC (Artificial BEE Colony) technique. The major goal of this study is to use the IDO method to present very efficient & reliable approach for solving ED problem in Power system. The suggested approach is used to solve a variety of non-convex ED issues, including banned operating zones with ramp rate constraints. This problem is described as an optimization of the objective function and minimization of the overall operating cost while gratifying all allied constraints, accompanied by the lowest down & up time lim

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Dai, Jingtong, and Zheng Wang. "Decentralized Coordination of DERs for Dynamic Economic Emission Dispatch." Applied Sciences 13, no. 22 (2023): 12431. http://dx.doi.org/10.3390/app132212431.

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This paper focuses on the dynamic economic emission dispatch (DEED) problem, to coordinate the distributed energy resources (DERs) in a power system and achieve economical and environmental operation. Distributed energy storages (ESs) are introduced into problem formulation in which charging/discharging efficiency is taken into account. By relaxing the nonconvexity induced by the charging/discharging model of ESs and network losses, we convert the non-convex DEED problem into its convex equivalency. Then, through a Lagrangian duality reformulation, an equivalent unconstrained consensus optimiz

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Alghamdi, Ali S. "Greedy Sine-Cosine Non-Hierarchical Grey Wolf Optimizer for Solving Non-Convex Economic Load Dispatch Problems." Energies 15, no. 11 (2022): 3904. http://dx.doi.org/10.3390/en15113904.

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Economic load dispatch (ELD) provides significant benefits to the operation of the power system. It appears to be a complex nonconvex optimization problem subject to several equal and unequal constraints. The greedy sine-cosine nonhierarchical gray wolf optimizer (G-SCNHGWO) is introduced in this study to solve complex nonconvex ELD optimization problems efficiently and robustly. The sine and cosine functions assist the search agents of the grey wolf optimizer (GWO) algorithm in avoiding trapping in a local optimum. In addition, the greedy nonhierarchical concept is integrated into GWO to enri

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Wang, S. K., J. P. Chiou, and C. W. Liu. "Non-smooth/non-convex economic dispatch by a novel hybrid differential evolution algorithm." IET Generation, Transmission & Distribution 1, no. 5 (2007): 793. http://dx.doi.org/10.1049/iet-gtd:20070183.

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Chaturvedi, Krishna Teerth, Manjaree Pandit, and Laxmi Srivastava. "Particle swarm optimization with time varying acceleration coefficients for non-convex economic power dispatch." International Journal of Electrical Power & Energy Systems 31, no. 6 (2009): 249–57. http://dx.doi.org/10.1016/j.ijepes.2009.01.010.

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Alawode, K. O., A. M. Jubril, L. O. Kehinde, and P. O. Ogunbona. "Semidefinite programming solution of economic dispatch problem with non-smooth, non-convex cost functions." Electric Power Systems Research 164 (November 2018): 178–87. http://dx.doi.org/10.1016/j.epsr.2018.07.026.

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Parihar, Shradha, and Nitin Malik. "Fuzzy-based real-coded genetic algorithm for optimizing non-convex environmental economic loss dispatch." Facta universitatis - series: Electronics and Energetics 35, no. 4 (2022): 495–512. http://dx.doi.org/10.2298/fuee2204495p.

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A non-convex Environmental Economic Loss Dispatch (NCEELD) is a constrained multi-objective optimization problem that has been solved for assigning generation cost to all the generators of the power network with equality and inequality constraints. The objectives considered for simultaneous optimization are emission, economic load and network loss dispatch. The valve-point loading, prohibiting operating zones and ramp rate limit issues have also been taken into consideration in the generator fuel cost. The tri-objective problem is transformed into a single objective function via the price pena

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Kamboj, Vikram Kumar, Challa Leela Kumari, Sarbjeet Kaur Bath, et al. "A Cost-Effective Solution for Non-Convex Economic Load Dispatch Problems in Power Systems Using Slime Mould Algorithm." Sustainability 14, no. 5 (2022): 2586. http://dx.doi.org/10.3390/su14052586.

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Slime Mould Algorithm (SMA) is a newly designed meat-heuristic search that mimics the nature of slime mould during the oscillation phase. This is demonstrated in a unique mathematical formulation that utilizes adjustable weights to influence the sequence of both negative and positive propagation waves to develop a method to link food supply with intensive exploration capacity and exploitation affinity. The study shows the usage of the SM algorithm to solve a non-convex and cost-effective Load Dispatch Problem (ELD) in an electric power system. The effectiveness of SMA is investigated for singl

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Sivasubramani, S., and Md Samar Ahmad. "Hybrid Harmony Search Algorithm and Interior Point Method for Economic Dispatch with Valve-Point Effect." International Journal of Emerging Electric Power Systems 15, no. 3 (2014): 253–61. http://dx.doi.org/10.1515/ijeeps-2013-0169.

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Abstract This paper proposes a new hybrid algorithm combining harmony search (HS) algorithm and interior point method (IPM) for economic dispatch (ED) problem with valve-point effect. ED problem with valve-point effect is modeled as a non-linear, constrained and non-convex optimization problem having several local minima. IPM is a best non-linear optimization method for convex optimization problems. Since ED problem with valve-point effect has multiple local minima, IPM results in a local optimum solution. In order to avoid IPM getting trapped in a local optimum, a new evolutionary algorithm H

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BENTOUATI, Bachir, Kelthoum HACHANI, Saliha CHETTIH, and Ragab EL-SEHIEMY. "A Chaotic Krill Herd Technique for Solving Combined Economic Emission Dispatch." Electrotehnica, Electronica, Automatica 71, no. 2 (2023): 68–79. http://dx.doi.org/10.46904/eea.23.71.2.1108008.

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The economic power dispatch (EPD) problem aims to find the optimal operational settings of power generating units with minimizing the entire production costs of generation and all system constraints are kept into their acceptable limitations. Meanwhile, achieving this economical operation based on the reduction of the fuel cost and fossil fuel fired power plant emission should be as little as possible. Another nonlinear framework, with contradictory objectives, called combined economical emission power dispatch (CEEPD) is considered as the target framework in this study. The CEEPD framework is

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Susanta, Kumar Gachhayat, Kumar Dash Saroja, and Priyadarshani Deo Banalata. "Approaches for smart linear regression in a difficult quasi economic dispatch problem." International Journal of Electrical and Computer Engineering (IJECE) 13, no. 4 (2023): 4752–60. https://doi.org/10.11591/ijece.v13i4.pp4752-4760.

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Traditional methods indispensably necessitate monotonically increasing characteristic for fuel cost of generators in a thermal power plant. However, in medium and large thermal power plants, this condition is a dream to accomplish. So, to meet out these exigencies heuristic methods like swarm optimization technique, genetic algorithm technique and bee colony based hybrid solar thermal technology (BHSTT) are used to realize the practical nonlinearities associated with valve point loading emanated out of multivalving effect, associated with power station. However, the heuristic methods too face

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Thenmalar, K., and A. Allirani. "Optimization Techniques for the Economic Dispatch Problem in Various Generation Plant." Advanced Materials Research 768 (September 2013): 323–28. http://dx.doi.org/10.4028/www.scientific.net/amr.768.323.

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The dynamic economic dispatch (DED) occupies important place in a power systems operation and control. It aims to determine the optimal power outputs of on-line generating units in order to meet the load demand and reducing the fuel cost. The nonlinear and non convex characteristics are more common in the DED problem. Therefore, obtaining a optimal solution presents a challenge. In the proposed system, firefly algorithm, Adaptive simulated annealing algorithm, artificial bee colony (ABC) algorithm a recently introduced population-based technique is utilized to solve the DED problem. A general

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Urazel, Burak, and Kemal Keskin. "A new solution approach for non-convex combined heat and power economic dispatch problem considering power loss." Energy 278 (September 2023): 128031. http://dx.doi.org/10.1016/j.energy.2023.128031.

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Bulbul, Sk Md Ali, and Provas Kumar Roy. "Adaptive Teaching Learning Based Optimization Applied to Nonlinear Economic Load Dispatch Problem." International Journal of Swarm Intelligence Research 5, no. 4 (2014): 1–16. http://dx.doi.org/10.4018/ijsir.2014100101.

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Economic load dispatch (ELD) is a process of calculating real power dispatch by satisfying a set of constraints such a way as fuel cost can be minimized. Inclusion of the effect of valve-points and prohibited operation zones (POZs) in the cost functions make ELD problem a non-linear and non-convex one. For solving ELD in power system a newly proposed evolutionary technique namely adaptive teaching learning based optimization (ATLBO) is presented in this article. TLBO mimics the influence of a teacher on students in a classroom environment by social interaction. ATLBO is an improved version of

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Gachhayat, Susanta Kumar, Saroja Kumar Dash, and Banalata Priyadarshani Deo. "Approaches for smart linear regression in a difficult quasi economic dispatch problem." International Journal of Electrical and Computer Engineering (IJECE) 13, no. 4 (2023): 4752. http://dx.doi.org/10.11591/ijece.v13i4.pp4752-4760.

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<span lang="EN-US">Traditional methods indispensably necessitate monotonically increasing characteristic for fuel cost of generators in a thermal power plant. However, in medium and large thermal power plants, this condition is a dream to accomplish. So, to meet out these exigencies heuristic methods like swarm optimization technique, genetic algorithm technique and bee colony based hybrid solar thermal technology (BHSTT) are used to realize the practical nonlinearities associated with valve point loading emanated out of multi-valving effect, associated with power station. However, the h

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Yuan, Zhao, and Mohammad Reza Hesamzadeh. "Applying Convex Optimal Power Flow to Combined Economic and Emission Dispatch." Journal of Geoscience and Environment Protection 04, no. 07 (2016): 9–14. http://dx.doi.org/10.4236/gep.2016.47002.

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