Cuckoo Search Algorithm Using Different Distributions for Short - Term Hydrotherm al Scheduling with Reservoir Vo lume Constraint

Abstract

This paper proposes a cuckoo search algorithm (CSA) using different distributions for solving the short-term hydrothermal scheduling (ST-HTS) problem with reservoir storage constraint on hydropower plants. The CSA method is a new meta-heuristic algorithm inspired from the obligate brood parasitism of some cuckoo species by laying their eggs in the nests of other host birds of other species for solving optimization problems. The advantages of the CSA method are few control parameters and effective for optimization problems with complicated constraints. In the proposed CSA, three distributions have been used including Lévy distribution, Gaussian distribution and Cauchy distribution. The proposed method has been tested on two test systems and the obtained results have been compared to that from other methods available in the literature. The result comparisons have indicated that the proposed method is a very favorable method for solving the short term hydrothermal scheduling problems with reservoir constraint.

A Novel Method for Economic Dispatch of Combined Heat and Power Generation

“…In addition, to show how many times of a proposed method is faster than other ones, SCT should be expressed in per unit (p.u.) as shown in Equation (43) [38,39] The power system with seven generation units, including four pure power generation units, two cogeneration units, and one pure heat generation unit, is considered to be the first case. This power system supplies an electricity power demand of 600 MW and heat demand of 150 MWth [14].…”

Modified Differential Evolution Algorithm: A Novel Approach to Optimize the Operation of Hydrothermal Power Systems while Considering the Different Constraints and Valve Point Loading Effects

“…Step 4: Calculate the fitness value for all new solutions using Equation (33) and choose the current best solution G best that has the lowest fitness value. Set the initial iteration counter G = 1.…”

“…Among the optimization problems related to the optimal scheduling of hydrothermal systems, the fixed-head, short-term HTS problem has been widely and successfully studied so far . The fixed-head, short-term HTS problem has been classified into two sub-problems with different hydraulic constraints, namely the amount of discharged water available via the turbine [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and reservoir volume limits [2,3,[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. In the two sub-problems, the water head of reservoirs is not supposed to be changed over the scheduled time, thus the water discharge function of the two problems has the same quadratic function model with respect to hydro generation and coefficients; however, the set of hydraulic constraints taken into account in the problems are almost completely different.…”

“…Furthermore, the solution and the computation for PSO are more effective than those for GA and EP. Recently, several applications of CSA for HTS problems in [16,17] for the first problem and in [33,34] for the second problem have shown very good results with fast execution times compared to GA variants, EP variants, and other methods such as AIS, DE and deterministic methods. CSA methods construct their search strategy based on Lévy flights and the probability of alien egg identification.…”

“…Compared to other mentioned methods, CSA methods can enlarge the global zone by using Lévy flights and then a local search around the solutions that have just been found by the global search could effectively exploit a narrow zone. As shown in [33,34], CSA could use three different distributions such as Lévy distribution, Gaussian distribution and Cauchy distribution, but the most appropriate distribution was Lévy distribution. Although the evidence indicates that a good evaluation of CSA has been clearly shown, the CSA methods used a high total number of fitness evaluations because they had two separate search strategies.…”