Economic Load Dispatch Using Linear Programming

Al-Subhi, Ahmad; Alfares, Hesham K.

doi:10.4018/ijaie.2016010102

Cited by 7 publications

(3 citation statements)

References 26 publications

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“…As discussed previously, the cost function presented in ( 2) is in a quadratic form. Given this nonlinear cost equation for generator i, it is possible to approximate the nonlinear curve by a series of straight-line segments [28]. Figure 2 shows an example of a linearized cost function represented by three linear segments.…”

Section: Linearization Methodology and Linear Programmingmentioning

confidence: 99%

Dynamic Economic Load Dispatch Using Linear Programming and Mathematical-Based Models

Al-Subhi¹

2022

MMEP

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Economic dispatch (ED) is one of the most important topics in power system operation and planning. The main purpose of this paper is to develop simple and effective mathematical models for the ED problem. Two stages were considered to solve this problem. First, the ED problem is formulated using linear piecewise functions and then optimally solved using the LP technique at various load values. The effectiveness of the LP in optimally solving the ED problem is verified by applying it to two different test systems. The results are compared with those obtained using other ED optimization techniques. The LP optimization performance of the proposed method is found to be similar to those of the reported techniques. In the second stage, the data collected from the optimization process in the first stage are transferred to TuringBot software. This software is adopted to build efficient mathematical models for the optimal power generation (output parameters) as functions of the load values (input parameters). The main objective of these models is to easily evaluate the optimal power sharing of the generators in an online fashion under rapid variable loading conditions without the need to solve the ED-LP based problem. Optimization techniques, including the LP, generally require considerable simulation times for linearization and optimization code execution, particularly under fast load variations. Thus, the main features of the developed models in this paper are simplicity, accessibility, as well as the ability in obtaining an efficient and optimal solution with a faster execution time.

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Section: Linearization Methodology and Linear Programmingmentioning

confidence: 99%

Dynamic Economic Load Dispatch Using Linear Programming and Mathematical-Based Models

Al-Subhi¹

2022

MMEP

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“…This traditional representation of ED difficulty formulates the price purpose of generating unit as a single quadratic function, this formulation ignores the valve-point effects hence the inaccurate results [5], [7].The realistic ED difficulty is nonlinear, non-smooth, non-convex and more complex owed in occurrence of valve-point loading and ramp limits which complicates the global optimum search [5], [8]. In excess of the precedent decades, a lot of classical techniques have been used for solving the ED problem like linear programming [9], non-linear programming [10], quadratic programming [11], dynamic programming [12], interior point programming [13], mixed integer programming [14], Pattern Search method [15], Lagrangian relaxation algorithm [16] , Newton-Raphson method [17],Lambda iteration [18] and Gradient method. These classical methods suffer from some limitations and inconveniences such as: Worse convergence and computational complexity [19], High sensitivity of initial approximate calculations [20], Difficulties in handling nonlinear, non-convex and non-smooth problems [21], The accurate optimum solution is only guaranteed to continuous cost function which does not coincide with the practical ED problem [22], Not applicable to several real-life problems.…”

Section: Introductionmentioning

confidence: 99%

An Effective Solution to Single-Area Dynamic Dispatch Using Improved Chimp Optimizer

Kumari

Kamboj

2020

E3S Web Conf.

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This paper proposes the Improved Chimp Algorithm (ICHIMP) to solve single area dynamic economic load dispatch (ELD) problem of electric power system. Chimp is a biologically-stimulated heuristic optimization technique, which is embedded on impersonating the technique chimps hunt for food and remain existent by escaping from their adversary. The particularity of ICHIMP is that the chimps move in group for hunting but each chimp searches the prey independently. The single area dynamic dispatch problem is described as non-linear, complex and forced optimization problem with objective function to curtail the total generation price, whereas fulfilling the correspondence and dissimilarity constraints of the system. This proposed algorithm has been tested on five different test systems consisting of 3, 6, 13, 20 and 40- generating units.. The test results of ICHIMP determine its superiority over other existing algorithms addressed in literature and show that it outperforms for Single area dynamic dispatch problem of electric power system.

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“…A huge number of optimization approaches using mathematical programming have been widely applied so far for solving the considered OLD problem such as dynamic programming (DP) [2], lambda iteration method [3], Newton Raphson and Lagrangian multiplier (NRLM) method [4], and linear programming (LP) [5,6]. Conventional methods focused on the systems with simple constraints and convex objective function where nonlinear constraints and the effects of valve loading process were not considered.…”

Section: Introductionmentioning

confidence: 99%

Finding Optimal Load Dispatch Solutions by Using a Proposed Cuckoo Search Algorithm

Nguyen

Đại

et al. 2019

Mathematical Problems in Engineering

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Optimal load dispatch (OLD) is an important engineering problem in power system optimization field due to its significance of reducing the amount of electric generation fuel and increasing benefit. In the paper, an improved cuckoo search algorithm (ICSA) is proposed for determining optimal generation of all available thermal generation units so that all constraints consisting of prohibited power zone (PPZ), real power balance (RPB), power generation limitations (PGL), ramp rate limits (RRL), and real power reserve (RPR) are completely satisfied. The proposed ICSA method performance is more robust than conventional Cuckoo search algorithm (CCSA) by applying new modifications. Compared to CCSA, the proposed ICSA approach can obtain high quality solutions and speed up the solution search ability. The ICSA robustness is verified on different systems with diversification of objective functions as well as the considered constraint set. The results from the proposed ICSA method are compared to other algorithms for comparison. The result comparison analysis indicates that the proposed ICSA approach is more robust than CCSA and other existing optimization approaches in finding solutions with significant quality and shortening simulation time. Consequently, it should lead to a conclusion that the proposed ICSA approach deserves to be applied for finding solutions of OLD problem in power system optimization field.

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Economic Load Dispatch Using Linear Programming

Cited by 7 publications

References 26 publications

Dynamic Economic Load Dispatch Using Linear Programming and Mathematical-Based Models

Dynamic Economic Load Dispatch Using Linear Programming and Mathematical-Based Models

An Effective Solution to Single-Area Dynamic Dispatch Using Improved Chimp Optimizer

Finding Optimal Load Dispatch Solutions by Using a Proposed Cuckoo Search Algorithm

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