- Open Access
- Authors : R. Anandhakumar
- Paper ID : IJERTV9IS010290
- Volume & Issue : Volume 09, Issue 01 (January 2020)
- Published (First Online): 06-02-2020
- ISSN (Online) : 2278-0181
- Publisher Name : IJERT
- License: This work is licensed under a Creative Commons Attribution 4.0 International License
Minimization of Nitrogen Oxides from Fossil Fuel Power Plants using Swarm Intelligence Technique
R. Anandhakumar
Assistant Professor,
Department of Electrical and Electronics Engineering, Government College of Engineering, Sengipatti, Thanjavur, Tamil Nadu, India.
Abstract:- The pollutant from the fossil fuel plant threatening the entire world and ensure that the amount of emission such as sulfur dioxide (SO2) and nitrogen oxides (NOx) must be reduced. Hence it is necessary that the emission constraint must include in the economic dispatch problem and its objective is to minimize production cost with lowest emission. In this paper swarm intelligence technique has been proposed to solve an emission constrained economic dispatch problem. The performance of the proposed algorithm is tested on six unit test systems with various load demand and emission coefficients. The comparison of the simulation results prove that the proposed algorithm have a better performance than
in handling large and complex search spaces. In this paper, an ABC algorithm is proposed to determine the optimal solution for environmental economic dispatch problem.
2. PROBLEM FORMULATION
The reduction emission from fossil fuel fired power plants is essential for power industries due to clean Air Act Amendments of 1990 and the problem can be formulated as
The total emission of generation Ei can be
E P 2 P
existing algorithms.
Keywords: Sulfur Minimization, Nitrogen Minimization,
i i i
(2.1)
i i i
Emission Dispatch, Environmental dispatch, Swarm Intelligence.
-
INTRODUCTION
Due to the strict environment act the power industries must reduce the emissions from the fossil fuel power plants. The pollutant from the fossil fuel plant threatening the entire world and ensure that the amount of emission such as sulfur dioxide (SO2) and nitrogen oxides (NOx) must be reduced. Hence it is necessary that the emission constraint must combine with economic dispatch problem and its objective is to minimize production cost with lowest emission [1-4]. The mathematical approaches like Interactive Search (IS) approach, Newton Raphson (NR) method, Non Linear Programming (NLP), and Quadratic Programming (QP) have been applied to solve economic emission dispatch [5-9]. The classical methods may have difficulties in finding an optimal solution due to the longest execution time and presence of non linear & discontinuity in the problem. The variety of artificial intelligence techniques and their hybrid versions has been applied to solve environmental emission dispatch problems [10-18]. Based on the shallow water theory named water evaporation optimization algorithm [19] have been applied to solve environmental economic dispatch problems.
Recently, inspired by the foraging behavior of honeybees, researchers have developed Artificial Bee Colony (ABC) algorithm for solving various optimization problems [20]. ABC is a relatively new population-based bio-inspired approach with the desirable characteristics such as robust and easy to implement. Further, ABC does not use any gradient based information and it incorporates a flexible and well balanced mechanism to adapt to the global and local exploration abilities within a short computation time. This makes the algorithm efficient
Ei is the function of emissions in (Kg/h) and i, i and i are the co-efficient of emission characteristics specific to each production unit.
-
SWARM INTELLIGENCE TECHNIQUE
The foraging bees are classified into three categories; employed bees, onlookers and scout bees. All bees that are currently exploiting a food source are known as employed. The employed bees exploit the food source and they carry the information about food source back to the hive and share this information with onlooker bees. Onlookers bees are waiting in the hive for the information to be shared by the employed bees about their discovered food sources and scouts bees will always be searching for new food sources near the hive. Employed bees share information about food sources by dancing in the designated dance area inside the hive. The nature of dance is proportional to the nectar content of food source just exploited by the dancing bee. Onlooker bees watch the dance and choose a food source according to the probability proportional to the quality of that food source. Therefore, good food sources attract more onlooker bees compared to bad ones. Whenever a food source is exploited fully, all the employed bees associated with it abandon the food source, and become scout. Scout bees can be visualized as performing the job of exploration, whereas employed and onlooker bees can be visualized as performing the job of exploitation.
In the SI algorithm, each food source is a possible solution for the problem under consideration and the nectar amount of a food source represents the quality of the solution represented by the fitness value. The number of food sources is same as the number of employed bees and there is exactly one employed bee for every food source. This algorithm starts by associating all employed bees with
randomly generated food sources (solution). In each iteration, every employed bee determines a food source in the neighbor- hood of its current food source and evaluates its nectar amount (fitness). The ith food source position is represented as Xi where i=1, 2, , N is a D-dimensional vector. The nectar amount of the food source located at Xi is calculated by using the Eq. (7). After watching the dancing of employed bees, an onlooker bee goes to the region of food source at Xi by the probability pi defined in Eq. (8).
-
SWARM INTELLIGENCE TECHNIQUE FOR ENVIRONMENT ECONOMIC DISPATCH
The proposed algorithm for solving EED problem is summarized as follows.
Step 1: Read the system data.
Step 2: Initialize the control parameters of the algorithm. Step 3: An initial population of N solution is generated for each solution Xi (i=1, 2 N) is represented by a D- dimensional vector.
Step 4: Evaluate the fitness value of each individual in the
fiti
pi
1
1 fi
fiti
N
(7)
colony.
Step 5: Produce neighbor solutions for the employed bees and evaluate them.
Step 6: Apply the selection process.
Step 7: If all onlooker bees are distributed, go to step 10. Otherwise, go to the next step.
fitn
n1
(8)
Step 8: Calculate the probability values pi for the solutions
Xi.
Step 9: Produce neighbor solutions for the selected
The onlooker finds a neighborhood food source in the vicinity of Xi by using the Eq. (9)
onlooker bee, depending on the pi value and evaluate them.
vij
xij
ij
(xij
-
xkj )
(9)
Step 10: Determine the abandoned solution for the scout
bees, if it exists and replace it with a completely new randomly generated solution and evaluate
Where k 1,2,……Nand j 1,2,……D
are randomly chosen indexes. Although k is determined
them.
Step 11: Memorize the best solution attained so far.
Step 12: Stop the process if the termination criteria is
randomly, it has to be different from i.
ij
is a random
satisfied. Otherwise, go to step 3.
number between [-1, 1]. If its new fitness value is better than the best fitness value achieved so far, then the bee moves to this new food source abandoning the old one, otherwise it remains in its old food source. When all eployed bees have finished this process, they share the fitness information with the onlookers, each of which selects a food source according to probability given in Eq. (8). With this scheme, good food sources will get more onlookers than the bad ones. Each bee will search for better food source around neighborhood patch for a certain number of cycles (limit), and if the fitness value will not improve then that bee becomes scout bee.
It is clear from the above explanation that there are three control parameters used in the basic SI: The number of the food sources which is equal to the number of employed or onlooker bees (N), the value of limit and the maximum cycle number (MCN). Parameter-tuning, in meta-heuristic optimization algorithms influences the performance of the algorithm significantly. Divergence, becoming trapped in local extrema and time-consumption are such consequences of setting the parameters improperly. The SI, algorithm, as an advantage has few controlled parameters. Since initializing a population randomly with a feasible region is sometimes cumbersome, the SI algorithm does not depend on the initial population to be in a feasible region. Instead, its performance directs the population to the feasible region sufficiently
-
-
SIMULATION RESULTS AND DISCUSSION Software package implementing the new proposed
technique is developed using Intel(R) Core(TM)2 Duo CPU, 2.10 GHz processor. To illustrate the validity and effectiveness of the proposed technique, the 6 generating units test system given in [19] is studied and solved. The control parameters of SI algorithm are chosen as colony size 100, maximum cycle/generation number (MCN) 100, and limit value 30.
In order to show the effectiveness of the proposed ABC algorithm it has been tested on six generating unit system for the load demand of 700 MW, 800 MW, 900 MW, 1000 MW. The system particulars are available in the literature [19]. The simulation results obtained by the proposed as well as existing algorithms are presented in Table 5.1 & 5.2.The results shows that the proposed ABC algorithm achieves the minimized emission of NOx for all load demands then existing algorithms. For the load demand of 700MW the proposed algorithm reaches the minimized emission value of 434.09 Kg/h, for 800MW the emission value is 548.54 Kg/h, for the load demand of 900MW it attain the value of 682.45 Kg/h and for the final load demand of 1000MW it obtain the better value of
-
Kg/h.
In all cases the proposed ABC algorithm achieves the competitive results with fully satisfies the system and problem constraints. The total production cost obtained by the proposed algorithm is also compared with existing techniques is also presented in Table 5.1. The comparison also shows that feasibility of the proposed algorithm reach better results in terms of least production cost. The
proposed algorithm have capability of online implementation for reduction of emission and production cost. From the comparison it is clear that ABC algorithm outperforms the existing algorithms.
Table 5.1 Optimal dispatches of proposed ABC and existing algorithms
Power Demand MW
Techniques
P1 (MW)
P2 (MW)
P3 (MW)
P4 (MW)
P5(MW)
P6 (MW)
Pl (MW)
700
FA
80.1523
82.4019
113.9655
113.4758
163.4493
163.0944
16.53
BA
80.1431
82.4033
113.9684
113.4763
163.4530
163.0950
16.53
HYB
80.1506
82.4054
113.9570
113.4851
163.4436
163.0975
16.53
WEO[19]
80.1439
82.4043
113.9657
113.4772
163.4471
163.0951
16.53
ABC
80.1326
82.2178
113.8765
114.2367
164.2232
163.06537
17.75
800
FA
100.5399
103.7475
127.0118
126.3499
182.1959
181.7376
21.58
BA
100.5295
103.7579
127.0076
126.3466
182.2088
181.7321
21.58
HYB
100.5207
103.7662
127.0024
126.3547
182.1999
181.7385
21.58
WEO[19]
100.5211
103.7511
127.0032
126.3518
182.2081
181.7382
21.57
ABC
100.3456
103.4321
127.0023
127.2458
183.1076
181.6789
22.81
900
FA
120.9389
125.3301
140.1958
139.3394
201.0812
200.4822
27.36
BA
120.9330
125.3313
140.1994
139.3392
201.0855
200.4791
27.36
HYB
120.9357
125.3202
140.1992
139.3479
201.0706
200.4940
27.36
WEO[19]
120.9362
125.3211
140.1993
139.3393
201.0808
200.4812
27.36
ABC
120.7653
125.2455
141.1876
139.2212
202.0704
200.3271
28.81
1000
FA
125.0000
150.0000
156.2191
155.2644
224.0618
223.1839
33.73
BA
125.0000
150.0000
156.2704
155.1559
224.0577
223.2458
33.73
HYB
125.0000
150.0000
156.0719
155.2412
224.2263
223.1934
33.73
WEO[19]
125.0000
150.0000
156.0792
155.2183
224.2173
223.2163
33.73
ABC
125.0000
150.000
157.05435
155.1789
224.1234
224.1221
35.47
Table 5.1 Comparison Results of Cost & Emission
Power Demand
Techniques
Cost ($/hr)
Emission (Kg/h)
700 MW
FA
38101.09
434.13
BA
38100.95
434.13
HYB
38101.13
434.13
WEO [19]
38100.72
434.12
ABC
38100.65
434.09
800 MW
FA
43719.20
548.70
BA
43719.15
548.70
HYB
43719.14
548.70
WEO [19]
43718.39
548.69
ABC
43718.21
548.54
900 MW
FA
49650.29
682.62
BA
49650.14
682.62
HYB
49649.97
682.62
WEO [19]
49649.53
682.61
ABC
49649.34
682.45
1000 MW
FA
55456.64
837.77
BA
55456.49
837.77
HYB
55456.24
837.77
WEO [19]
55456.12
837.76
ABC
55456.08
837.45
-
-
CONCLUSION
The emission constrained economic load dispatch (ECELD) problem is a sub problem of an optimal power dispatch. In this paper emission constrained economic load dispatch problem is solved by using swarm intelligence technique named artificial bee colony algorithm. The simulation result of the proposed algorithm is compared with existing techniques. From the comparison it is clear that the proposed algorithm obtain the better results than existing algorithms for the load demands of 700MW, 800MW, 900MW, 1000MW. In all cases the proposed
algorithm clearly satisfies the system and problem constraints. The simulation results shows that the proposed algorithm have the ability to online implementation.
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