Abstract
In this present study, a modified grey wolf optimizer algorithm is applied to find out the optimal solution of short-term hydro-thermal systems. The primary objective of the problem is to compute the hourly schedule for different hydro and thermal power generating units to minimize fuel cost of power generations. The crucial phases using which a “grey wolf” performs its hunting is tracking, chasing, approaching, pursuing, encircling and harassing. After that it attacks towards the prey. Those steps of hunting are mathematically modeled in order to solve optimization problem. This method is known as grey wolf optimization. Furthermore, quasi-oppositional learning scheme is combined with the proposed method to improve its performance. To check the effectiveness of the algorithm, it has been tested on two test systems. The results obtained by the “quasi-reflected grey wolf optimizer” algorithm are compared with those obtained by other optimization techniques like Evolutionary Programming, Genetic Algorithm, Artificial Immune System, Cuckoo Search Algorithm, and Optimal Gamma Based Genetic Algorithm.
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Abbreviations
- \( C_{T} \) :
-
Total fuel cost of thermal power unit
- \( TP_{i,m} \) :
-
Signifies power generation of ith thermal plant at mth time interval.
- \( HP_{j,m} \) :
-
Represents power generation of jth thermal plant at time interval m.
- \( TP_{i}^{\hbox{min} } \,,\,TP_{i}^{\hbox{max} } \) :
-
Represents the power generation limits of ith thermal plant.
- \( HP_{j}^{\hbox{min} } ,\,\,HP_{j}^{\hbox{max} } \) :
-
Represents the minimum and maximum power generation of jth hydro power plant.
- N t :
-
Represents number of thermal power plants.
- N h :
-
Represents number of hydro power plants.
- \( t_{m} \), \( M \):
-
Represents duration of sub-interval and total number of sub-interval respectively.
- \( a_{i} ,\,b_{i} ,\,c_{i} ,\,d_{i} ,\,e_{i} \) :
-
Fuel cost coefficients of ith thermal plants.
- \( D_{m} \) :
-
Total load demand at the mth time interval
- \( L_{m} \) :
-
Transmission loss at the mth time interval.
- \( B_{lr} \) :
-
Represents Loss coefficients
- \( q_{hj,m} \) :
-
Represents water discharge of jth hydro power plant at the mth time interval.
- \( W_{hj} \) :
-
Represents available water of jth hydro power plant.
- \( a_{0hj} ,\,a_{1hj} ,\,a_{2hj} \) :
-
The power generation coefficients of jth hydro power plant.
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Das, S., Bhowmik, D., Das, S. (2020). A Modified Grey Wolf Optimizer Algorithm for Economic Scheduling of Hydrothermal Systems. In: Dawn, S., Balas, V., Esposito, A., Gope, S. (eds) Intelligent Techniques and Applications in Science and Technology. ICIMSAT 2019. Learning and Analytics in Intelligent Systems, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-030-42363-6_78
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