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International Journal of Informatics and Communication Technology (IJ-ICT)
Vol.9, No.2, August 2020, pp. 92~99
ISSN: 2252-8776, DOI: 10.11591/ijict.v9i2.pp92-99  92
Journal homepage: http://ijict.iaescore.com
Real power loss diminution by predestination of particles
wavering search algorithm
Kanagasabai Lenin
Department of EEE, Prasad V. Potluri Siddhartha Institute of Technology, India
Article Info ABSTRACT
Article history:
Received Nov 15, 2019
Revised Jan 17, 2020
Accepted Feb 11, 2020
In this work Predestination of Particles Wavering Search (PPS) algorithm has
been applied to solve optimal reactive power problem. PPS algorithm has
been modeled based on the motion of the particles in the exploration space.
Normally the movement of the particle is based on gradient and swarming
motion. Particles are permitted to progress in steady velocity in gradient-
based progress, but when the outcome is poor when compared to previous
upshot, immediately particle rapidity will be upturned with semi of the
magnitude and it will help to reach local optimal solution and it is expressed
as wavering movement. In standard IEEE 14, 30, 57,118,300 bus systems
Proposed Predestination of Particles Wavering Search (PPS) algorithm is
evaluated and simulation results show the PPS reduced the power loss
efficiently.
Keywords:
Optimal reactive power
Predestination of particles
wavering search algorithm
Transmission loss
This is an open access article under the CC BY-SA license.
Corresponding Author:
Kanagasabai Lenin,
Department of EEE,
Prasad V. Potluri Siddhartha Institute of Technology,
Kanuru, Vijayawada, Andhra Pradesh -520007, India.
Email: gklenin@gmail.com
1. INTRODUCTION
Reactive power problem plays a key role in secure and economic operations of power system.
Optimal reactive power problem has been solved by variety of types of methods [1-6]. Nevertheless
numerous scientific difficulties are found while solving problem due to an assortment of constraints.
Evolutionary techniques [7-15] are applied to solve the reactive power problem, but the main problem is
many algorithms get stuck in local optimal solution & failed to balance the Exploration & Exploitation
during the search of global solution. In this work, Predestination of Particles Wavering Search (PPS)
algorithm has been applied to solve optimal reactive power problem. PPS algorithm has been modeled based
on the motion of the particles in the exploration space. Particles will arbitrarily move in the exploration space
in many algorithms which has been already applied to many optimization problems. In the PPS algorithm
particles are distributed in the exploration space consistently. In an atom how the electrons positioned in the
centre accordingly particles are in the exploration space. Normally the movement of the particle is based on
gradient and swarming motion [16, 17]. When the gradient method failed then swarming is executed by
inducing the particle shift towards the global most excellent position by modernizing the velocity. Validity of
the Proposed Predestination of Particles Wavering Search (PPS) algorithm has been tested in standard IEEE
14, 30, 57,118, 300 bus systems and results show the projected PPS reduced the power loss effectively.
Int J Inf & Commun Technol ISSN: 2252-8776 
Real power loss diminution by predestination of particles wavering… (Kanagasabai Lenin)
93
2. PROBLEM FORMULATION
Objective of the problem is to reduce the true power loss:
𝐅 = 𝐏𝐋 = βˆ‘ 𝐠 π€π€βˆˆππ›π« (𝐕𝐒
𝟐
+ 𝐕𝐣
𝟐
βˆ’ πŸπ•π’ 𝐕𝐣 πœπ¨π¬π›‰π’π£) (1)
Voltage deviation given as follows:
𝐅 = 𝐏𝐋 + π›š 𝐯 Γ— 𝐕𝐨π₯𝐭𝐚𝐠𝐞 πƒπžπ―π’πšπ­π’π¨π§ (2)
Voltage deviation given by:
𝐕𝐨π₯𝐭𝐚𝐠𝐞 πƒπžπ―π’πšπ­π’π¨π§ = βˆ‘ |𝐕𝐒 βˆ’ 𝟏|
𝐍𝐩πͺ
𝐒=𝟏 (3)
Constraint (Equality)
𝐏 𝐆 = 𝐏 𝐃 + 𝐏𝐋 (4)
Constraints (Inequality)
𝐏𝐠𝐬π₯𝐚𝐜𝐀
𝐦𝐒𝐧
≀ 𝐏𝐠𝐬π₯𝐚𝐜𝐀 ≀ 𝐏𝐠𝐬π₯𝐚𝐜𝐀
𝐦𝐚𝐱
(5)
𝐐 𝐠𝐒
𝐦𝐒𝐧
≀ 𝐐 𝐠𝐒 ≀ 𝐐 𝐠𝐒
𝐦𝐚𝐱
, 𝐒 ∈ 𝐍 𝐠 (6)
𝐕𝐒
𝐦𝐒𝐧
≀ 𝐕𝐒 ≀ 𝐕𝐒
𝐦𝐚𝐱
, 𝐒 ∈ 𝐍 (7)
𝐓𝐒
𝐦𝐒𝐧
≀ 𝐓𝐒 ≀ 𝐓𝐒
𝐦𝐚𝐱
, 𝐒 ∈ 𝐍 𝐓 (8)
Qc
min
≀ Qc ≀ QC
max
, i ∈ NC (9)
3. PREDESTINATION OF PARTICLES WAVERING SEARCH ALGORITHM
Predestination of Particles Wavering Search (PPS) algorithm has been modeled based on the motion
of the particles in the exploration space. Particles will arbitrarily move in the exploration space in many
algorithms which has been already applied to many optimization problems. In the PPS algorithm particles are
distributed in the exploration space consistently. In an atom how the electrons positioned in the centre
accordingly particles are in the exploration space. Normally the movement of the particle is based on gradient
and swarming motion. Particles velocity has been initiated as follows,
π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦π‘–
0
= [
𝑦 π‘π‘’π‘ π‘‘βˆ’π‘¦π‘–
0
2
] (10)
Particles are permitted to progress in steady velocity in gradient-based progress, but when
the outcome is poor when compared to previous upshot, immediately particle rapidity will be upturned with
semi of the magnitude and it will help to reach local optimal solution and it is expressed as wavering
movement. Particle moves from point of slope 𝑦1 to 𝑦2 then it end’s in negative fitness slope and when
the particle velocity is multiplied by the value -0.50, subsequently the particle moves from 𝑦2 to 𝑦3 then
sequentially it end’s in positive fitness slope, through this motion particle reach 𝑦4 afterwards a negative
fitness slope attained again by the particle then once again by -0.50 the particle velocity will be multiplied.
Next at 𝑦5 particle will attain, now the particle fitness will be positive slope, then in the same way particle
continues its motion and it reach the point 𝑦6. Once particle reaches the local optimal point 𝑦 π‘œπ‘π‘‘π‘–π‘šπ‘Žπ‘™ then
the velocity will be reversed again. When the gradient method failed then swarming is executed by inducing
the particle shift towards the global most excellent position by modernizing the velocity as given below,
π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦π‘–
𝑑+1
= π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦π‘–
𝑑
+ [
𝑦 π‘π‘’π‘ π‘‘βˆ’π‘¦π‘–
𝑑
2
] (11)
 ISSN: 2252-8776
Int J Inf & Commun Technol, Vol. 9, No. 2, August 2020: 92 – 99
94
When the progress develop into constructive subsequently particle prolong to discover any more
local optimal solution, and this procedure persist until maximum number of evaluation has been attained.
Predestination of Particles Wavering Search (PPS) algorithm defined as follows,
Step 1 In the exploration space Initiate the particle’s position with reference to boundary limits
Step 2: i=1; k =1
Step 3: Iterative procedure:
With respect to upper and lower boundaries particle positions are initiated
While (i < = sum of particles)
Particles possible combinations has to be discovered
For c=1: sum of combinations
With respect to positions and combinations alter the positions of the particle 𝑦𝑖 as elevated values
i ++
End for
k ++
if (k > dimensions) / when no boundary combinations are found then leave the loop /
Break
End if
End while
Step 4: Between two particles which has been already initiated some more particles are present, then factor
based procedure is applied to reorganize the particle positions
Particles number are factorized
f=factor (n) ; n = sum of particles ; f is an array to store the factor values
Iterative procedure:
While (i <= n)
For c=1: sum of factors (with reference to length of β€œf”)
For j=1: dimensions (p)
For i = 1:f(c)
𝑦𝑖(𝑗) = π‘šπ‘–π‘›π‘–π‘šπ‘’π‘š(𝑗) + π‘˜βˆ—(π‘šπ‘Žπ‘₯π‘–π‘šπ‘’π‘š(𝑗) βˆ’ π‘šπ‘–π‘›π‘–π‘šπ‘’π‘š(𝑗))/(𝑓(𝑐) + 1)
i++
End
End
if i >n then when no boundary combinations are found then leave the loop
Repeat step 4 with Minimum and Maximum are exchanged
Break
End if
End for
End while
Then with suitable parameters projected Predestination of Particles Wavering Search (PPS)
algorithm is applied to solve the optimal reactive power problem as shown below,
Step 1: Initialization of parameters
Step 2: In the exploration space Initiate the particle’s position with reference to boundary limits
Step 3: Particles fitness values are computed and most excellent particle will be identified
Step 4: Velocity of the particles are initialized through π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦π‘–
0
= [
𝑦 π‘π‘’π‘ π‘‘βˆ’π‘¦π‘–
0
2
]
Step 5: Iterative procedure
While (computation number < maximum number of computation)
For i = 1; sum of particles
By augmenting the velocity to the present position determine new-fangled position
With reference to new-fangled position particle fitness should be calculated
Augmentations of computation counter, and then modernize global most excellent solution
When (slope = = unknown) then modernize slope of the particle with reference to new fitness to be positive
or negative; Otherwise when (slope = = positive)
When (new-fangled fitness inferior than previous fitness); Then modernize velocity by " βˆ’
π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦
2
" ;
modernize the slope with reference to new-fangled fitness to be negative; otherwise (slope = = negative)
When (new-fangled fitness inferior than the previous fitness)
Then modernize velocity by
π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦ + (π‘”π‘™π‘œπ‘π‘Žπ‘™ π‘šπ‘œπ‘ π‘‘ 𝑒π‘₯𝑐𝑒𝑙𝑙𝑒𝑛𝑑 π‘π‘œπ‘ π‘–π‘‘π‘–π‘œπ‘› βˆ’ π‘π‘Ÿπ‘’π‘ π‘’π‘›π‘‘ π‘π‘œπ‘ π‘–π‘‘π‘–π‘œπ‘› 2⁄ )
Update slope to be unknown
Int J Inf & Commun Technol ISSN: 2252-8776 
Real power loss diminution by predestination of particles wavering… (Kanagasabai Lenin)
95
End if
End for
End while
Step 6: Global most excellent particle position found with fitness value
Step 7; Output the result
4. SIMULATION RESULTS
In standard IEEE 14 bus system the validity of the projected Predestination of Particles Wavering
Search (PPS) algorithm has been tested, Table 1 shows the constraints of control variables Table 2 shows the
limits of reactive power generators and comparison results are presented in Table 3.
Table 1. Constraints of control variables
System Variables Minimum (PU) Maximum (PU)
IEEE 14 Bus
Generator Voltage 0.95 1.1
Transformer Tap 0.9 1.1
VAR Source 0 0.20
Table 2. Constrains of reactive power generators
System Variables Q Minimum (PU) Q Maximum (PU)
IEEE 14 Bus
1 0 10
2 -40 50
3 0 40
6 -6 24
8 -6 24
Table 3. Simulation results of IEEEβˆ’14 system
Control variables Base case MPSO [18] PSO [18] EP [18] SARGA [18] PPS
π‘‰πΊβˆ’1 1.060 1.100 1.100 NR* NR* 1.012
π‘‰πΊβˆ’2 1.045 1.085 1.086 1.029 1.060 1.013
π‘‰πΊβˆ’3 1.010 1.055 1.056 1.016 1.036 1.019
π‘‰πΊβˆ’6 1.070 1.069 1.067 1.097 1.099 1.024
π‘‰πΊβˆ’8 1.090 1.074 1.060 1.053 1.078 1.003
π‘‡π‘Žπ‘ 8 0.978 1.018 1.019 1.04 0.95 0.904
π‘‡π‘Žπ‘ 9 0.969 0.975 0.988 0.94 0.95 0.903
π‘‡π‘Žπ‘ 10 0.932 1.024 1.008 1.03 0.96 0.920
π‘„πΆβˆ’9 0.19 14.64 0.185 0.18 0.06 0.145
𝑃𝐺 272.39 271.32 271.32 NR* NR* 271.60
𝑄𝐺 (Mvar) 82.44 75.79 76.79 NR* NR* 74.75
Reduction in PLoss (%) 0 9.2 9.1 1.5 2.5 24.67
Total PLoss (Mw) 13.550 12.293 12.315 13.346 13.216 10.206
NR*-Not reported
Then the projected Predestination of Particles Wavering Search (PPS) algorithm has been tested, in
IEEE 30 Bus system. Table 4 shows the constraints of control variables, Table 5 shows the limits of reactive
power generators and comparison results are presented in Table 6.
Table 4. Constraints of control variables
System Variables Minimum (PU) Maximum (PU)
IEEE 30 Bus
Generator Voltage 0.95 1.1
Transformer Tap o.9 1.1
VAR Source 0 0.20
Table 5. Constrains of reactive power generators
System Variables Q Minimum (PU) Q Maximum (PU)
IEEE 30 Bus
1 0 10
2 -40 50
5 -40 40
8 -10 40
11 -6 24
13 -6 24
 ISSN: 2252-8776
Int J Inf & Commun Technol, Vol. 9, No. 2, August 2020: 92 – 99
96
Table 6. Simulation results of IEEE βˆ’30 system
Control variables Base case MPSO [18] PSO [18] EP [18] SARGA [18] PPS
π‘‰πΊβˆ’1 1.060 1.101 1.100 NR* NR* 1.013
π‘‰πΊβˆ’2 1.045 1.086 1.072 1.097 1.094 1.014
π‘‰πΊβˆ’5 1.010 1.047 1.038 1.049 1.053 1.061
π‘‰πΊβˆ’8 1.010 1.057 1.048 1.033 1.059 1.005
π‘‰πΊβˆ’12 1.082 1.048 1.058 1.092 1.099 1.024
VG-13 1.071 1.068 1.080 1.091 1.099 1.043
Tap11 0.978 0.983 0.987 1.01 0.99 0.904
Tap12 0.969 1.023 1.015 1.03 1.03 0.912
Tap15 0.932 1.020 1.020 1.07 0.98 0.906
Tap36 0.968 0.988 1.012 0.99 0.96 0.905
QC10 0.19 0.077 0.077 0.19 0.19 0.064
QC24 0.043 0.119 0.128 0.04 0.04 0.103
𝑃𝐺 (MW) 300.9 299.54 299.54 NR* NR* 298.62
𝑄𝐺 (Mvar) 133.9 130.83 130.94 NR* NR* 130.74
Reduction in PLoss (%) 0 8.4 7.4 6.6 8.3 18.41
Total PLoss (Mw) 17.55 16.07 16.25 16.38 16.09 14.319
NR*-Not reported.
Then the proposed Predestination of Particles Wavering Search (PPS) algorithm has been tested, in
IEEE 57 Bus system. Table 7 shows the constraints of control variables, Table 8 shows the limits of reactive
power generators and comparison results are presented in Table 9.
Table 7. constraints of control variables
System Variables Minimum (PU) Maximum (PU)
IEEE 57 Bus Generator Voltage 0.95 1.1
Transformer Tap o.9 1.1
VAR Source 0 0.20
Table 8. Constrains of reactive power generators
System Variables Q Minimum (PU) Q Maximum (PU)
IEEE 57 Bus 1 -140 200
2 -17 50
3 -10 60
6 -8 25
8 -140 200
9 -3 9
12 -150 155
Table 9. Simulation results of IEEEβˆ’57 system
Control variables Base case MPSO [18] PSO [18] CGA [18] AGA [18] PPS
𝑉𝐺 1 1.040 1.093 1.083 0.968 1.027 1.024
𝑉𝐺 2 1.010 1.086 1.071 1.049 1.011 1.013
𝑉𝐺 3 0.985 1.056 1.055 1.056 1.033 1.033
𝑉𝐺 6 0.980 1.038 1.036 0.987 1.001 1.012
𝑉𝐺 8 1.005 1.066 1.059 1.022 1.051 1.030
𝑉𝐺 9 0.980 1.054 1.048 0.991 1.051 1.014
𝑉𝐺 12 1.015 1.054 1.046 1.004 1.057 1.042
π‘‡π‘Žπ‘ 19 0.970 0.975 0.987 0.920 1.030 0.953
π‘‡π‘Žπ‘ 20 0.978 0.982 0.983 0.920 1.020 0.934
π‘‡π‘Žπ‘ 31 1.043 0.975 0.981 0.970 1.060 0.920
π‘‡π‘Žπ‘ 35 1.000 1.025 1.003 NR* NR* 1.012
π‘‡π‘Žπ‘ 36 1.000 1.002 0.985 NR* NR* 1.004
π‘‡π‘Žπ‘ 37 1.043 1.007 1.009 0.900 0.990 1.005
π‘‡π‘Žπ‘ 41 0.967 0.994 1.007 0.910 1.100 0.990
π‘‡π‘Žπ‘ 46 0.975 1.013 1.018 1.100 0.980 1.010
π‘‡π‘Žπ‘ 54 0.955 0.988 0.986 0.940 1.010 0.973
π‘‡π‘Žπ‘ 58 0.955 0.979 0.992 0.950 1.080 0.962
π‘‡π‘Žπ‘ 59 0.900 0.983 0.990 1.030 0.940 0.961
π‘‡π‘Žπ‘ 65 0.930 1.015 0.997 1.090 0.950 1.003
π‘‡π‘Žπ‘ 66 0.895 0.975 0.984 0.900 1.050 0.952
π‘‡π‘Žπ‘ 71 0.958 1.020 0.990 0.900 0.950 1.003
π‘‡π‘Žπ‘ 73 0.958 1.001 0.988 1.000 1.010 1.004
π‘‡π‘Žπ‘ 76 0.980 0.979 0.980 0.960 0.940 0.961
Int J Inf & Commun Technol ISSN: 2252-8776 
Real power loss diminution by predestination of particles wavering… (Kanagasabai Lenin)
97
Table 9. Simulation results of IEEEβˆ’57 system (Continued)
Control variables Base case MPSO [18] PSO [18] CGA [18] AGA [18] PPS
π‘‡π‘Žπ‘ 80 0.940 1.002 1.017 1.000 1.000 1.003
𝑄𝐢 18 0.1 0.179 0.131 0.084 0.016 0.172
𝑄𝐢 25 0.059 0.176 0.144 0.008 0.015 0.160
𝑄𝐢 53 0.063 0.141 0.162 0.053 0.038 0.142
𝑃𝐺 (MW) 1278.6 1274.4 1274.8 1276 1275 1270.12
𝑄𝐺 (Mvar) 321.08 272.27 276.58 309.1 304.4 272.33
Reduction in PLoss (%) 0 15.4 14.1 9.2 11.6 23.36
Total PLoss (Mw) 27.8 23.51 23.86 25.24 24.56 21.305
NR*-Not reported.
Then the Predestination of Particles Wavering Search (PPS) algorithm has been tested, in IEEE 118
Bus system. Table 10 shows the constraints of control variables and comparison results are
presented in Table 11.
Table 10. Constraints of control variables
System Variables Minimum (PU) Maximum (PU)
IEEE 118 Bus Generator Voltage 0.95 1.1
Transformer Tap o.9 1.1
VAR Source 0 0.20
Table 11. Simulation results of IEEEβˆ’118 system
Control variables Base case MPSO [18] PSO [18] PSO [18] CLPSO [18] PPS
𝑉𝐺 1 0.955 1.021 1.019 1.085 1.033 1.013
𝑉𝐺 4 0.998 1.044 1.038 1.042 1.055 1.042
𝑉𝐺 6 0.990 1.044 1.044 1.080 0.975 1.024
𝑉𝐺 8 1.015 1.063 1.039 0.968 0.966 1.003
𝑉𝐺 10 1.050 1.084 1.040 1.075 0.981 1.012
𝑉𝐺 12 0.990 1.032 1.029 1.022 1.009 1.021
𝑉𝐺 15 0.970 1.024 1.020 1.078 0.978 1.034
𝑉𝐺 18 0.973 1.042 1.016 1.049 1.079 1.042
𝑉𝐺 19 0.962 1.031 1.015 1.077 1.080 1.034
𝑉𝐺 24 0.992 1.058 1.033 1.082 1.028 1.010
𝑉𝐺 25 1.050 1.064 1.059 0.956 1.030 1.031
𝑉𝐺 26 1.015 1.033 1.049 1.080 0.987 1.050
𝑉𝐺 27 0.968 1.020 1.021 1.087 1.015 0.902
𝑉𝐺31 0.967 1.023 1.012 0.960 0.961 0.901
𝑉𝐺 32 0.963 1.023 1.018 1.100 0.985 0.913
𝑉𝐺 34 0.984 1.034 1.023 0.961 1.015 1.002
𝑉𝐺 36 0.980 1.035 1.014 1.036 1.084 1.001
𝑉𝐺 40 0.970 1.016 1.015 1.091 0.983 0.960
𝑉𝐺 42 0.985 1.019 1.015 0.970 1.051 1.001
𝑉𝐺 46 1.005 1.010 1.017 1.039 0.975 1.002
𝑉𝐺 49 1.025 1.045 1.030 1.083 0.983 1.003
𝑉𝐺 54 0.955 1.029 1.020 0.976 0.963 0.920
𝑉𝐺 55 0.952 1.031 1.017 1.010 0.971 0.961
𝑉𝐺56 0.954 1.029 1.018 0.953 1.025 0.954
𝑉𝐺 59 0.985 1.052 1.042 0.967 1.000 0.963
𝑉𝐺 61 0.995 1.042 1.029 1.093 1.077 0.970
𝑉𝐺 62 0.998 1.029 1.029 1.097 1.048 0.982
𝑉𝐺 65 1.005 1.054 1.042 1.089 0.968 1.001
𝑉𝐺 66 1.050 1.056 1.054 1.086 0.964 1.002
𝑉𝐺 69 1.035 1.072 1.058 0.966 0.957 1.050
𝑉𝐺 70 0.984 1.040 1.031 1.078 0.976 1.034
𝑉𝐺 72 0.980 1.039 1.039 0.950 1.024 1.020
𝑉𝐺 73 0.991 1.028 1.015 0.972 0.965 1.013
𝑉𝐺 74 0.958 1.032 1.029 0.971 1.073 1.014
𝑉𝐺 76 0.943 1.005 1.021 0.960 1.030 1.005
𝑉𝐺 77 1.006 1.038 1.026 1.078 1.027 1.006
𝑉𝐺 80 1.040 1.049 1.038 1.078 0.985 1.003
𝑉𝐺 85 0.985 1.024 1.024 0.956 0.983 1.014
𝑉𝐺 87 1.015 1.019 1.022 0.964 1.088 1.013
𝑉𝐺 89 1.000 1.074 1.061 0.974 0.989 1.042
𝑉𝐺 90 1.005 1.045 1.032 1.024 0.990 1.031
𝑉𝐺 91 0.980 1.052 1.033 0.961 1.028 1.000
𝑉𝐺 92 0.990 1.058 1.038 0.956 0.976 1.031
 ISSN: 2252-8776
Int J Inf & Commun Technol, Vol. 9, No. 2, August 2020: 92 – 99
98
Table 11. Simulation results of IEEEβˆ’118 system (Continued)
Control variables Base case MPSO [18] PSO [18] PSO [18] CLPSO [18] PPS
𝑉𝐺 99 1.010 1.023 1.037 0.954 1.088 1.003
𝑉𝐺 100 1.017 1.049 1.037 0.958 0.961 1.001
𝑉𝐺 103 1.010 1.045 1.031 1.016 0.961 1.010
𝑉𝐺 104 0.971 1.035 1.031 1.099 1.012 1.001
𝑉𝐺 105 0.965 1.043 1.029 0.969 1.068 1.050
𝑉𝐺 107 0.952 1.023 1.008 0.965 0.976 1.012
𝑉𝐺 110 0.973 1.032 1.028 1.087 1.041 1.014
𝑉𝐺 111 0.980 1.035 1.039 1.037 0.979 1.000
𝑉𝐺 112 0.975 1.018 1.019 1.092 0.976 1.091
𝑉𝐺 113 0.993 1.043 1.027 1.075 0.972 1.000
𝑉𝐺 116 1.005 1.011 1.031 0.959 1.033 1.001
π‘‡π‘Žπ‘ 8 0.985 0.999 0.994 1.011 1.004 0.943
π‘‡π‘Žπ‘ 32 0.960 1.017 1.013 1.090 1.060 1.000
π‘‡π‘Žπ‘ 36 0.960 0.994 0.997 1.003 1.000 0.951
π‘‡π‘Žπ‘ 51 0.935 0.998 1.000 1.000 1.000 0.933
π‘‡π‘Žπ‘ 93 0.960 1.000 0.997 1.008 0.992 1.002
π‘‡π‘Žπ‘ 95 0.985 0.995 1.020 1.032 1.007 0.970
π‘‡π‘Žπ‘ 102 0.935 1.024 1.004 0.944 1.061 1.001
π‘‡π‘Žπ‘ 107 0.935 0.989 1.008 0.906 0.930 0.942
π‘‡π‘Žπ‘ 127 0.935 1.010 1.009 0.967 0.957 1.000
𝑄𝐢 34 0.140 0.049 0.048 0.093 0.117 0.002
𝑄𝐢 44 0.100 0.026 0.026 0.093 0.098 0.021
𝑄𝐢 45 0.100 0.196 0.197 0.086 0.094 0.163
𝑄𝐢 46 0.100 0.117 0.118 0.089 0.026 0.120
𝑄𝐢 48 0.150 0.056 0.056 0.118 0.028 0.042
𝑄𝐢 74 0.120 0.120 0.120 0.046 0.005 0.110
𝑄𝐢 79 0.200 0.139 0.140 0.105 0. 148 0.102
𝑄𝐢 82 0.200 0.180 0.180 0.164 0.194 0.150
𝑄𝐢 83 0.100 0.166 0.166 0.096 0.069 0.123
𝑄𝐢 105 0.200 0.189 0.190 0.089 0.090 0.151
𝑄𝐢 107 0.060 0.128 0.129 0.050 0.049 0.133
𝑄𝐢 110 0.060 0.014 0.014 0.055 0.022 0.001
PG(MW) 4374.8 4359.3 4361.4 NR* NR* 4362.10
QG(MVAR) 795.6 604.3 653.5 NR* NR* 610.11
Reduction in PLOSS (%) 0 11.7 10.1 0.6 1.3 13.84
Total PLOSS (Mw) 132.8 117.19 119.34 131.99 130.96 114.418
NR*-Not reported.
Then IEEE 300 bus system [18] is used as test system to authenticate the good performance of
the Predestination of Particles Wavering Search (PPS) algorithm. Table 12 shows the comparison of real
power loss obtained after optimization.
Table 12. Comparison of real power loss
Parameter Method EGA [20] Method EEA [20] Method CSA [21] PPS
PLOSS (MW) 646.2998 650.6027 635.8942 610.3371
5. CONCLUSION
In this work Predestination of Particles Wavering Search (PPS) algorithm successfully solved
the optimal reactive power problem. In the PPS algorithm particles are distributed in the exploration space
consistently. In an atom how the electrons positioned in the centre accordingly particles are in the exploration
space. Normally the movement of the particle is based on gradient and swarming motion. Particles are
permitted to progress in steady velocity in gradient-based progress, but when the outcome is poor when
compared to previous upshot, immediately particle rapidity will be upturned. In standard IEEE 14, 30,
57,118, 300 bus systems Predestination of Particles Wavering Search (PPS) algorithm have been tested and
power loss has been reduced efficiently.
Int J Inf & Commun Technol ISSN: 2252-8776 
Real power loss diminution by predestination of particles wavering… (Kanagasabai Lenin)
99
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Power Dispatch Concept,” IGI Global, pp. 46-64, 2019.
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reactive power dispatch problem”, IEEE Transactions on Power Systems, 2019,
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04 20259 real power loss

  • 1. International Journal of Informatics and Communication Technology (IJ-ICT) Vol.9, No.2, August 2020, pp. 92~99 ISSN: 2252-8776, DOI: 10.11591/ijict.v9i2.pp92-99  92 Journal homepage: http://ijict.iaescore.com Real power loss diminution by predestination of particles wavering search algorithm Kanagasabai Lenin Department of EEE, Prasad V. Potluri Siddhartha Institute of Technology, India Article Info ABSTRACT Article history: Received Nov 15, 2019 Revised Jan 17, 2020 Accepted Feb 11, 2020 In this work Predestination of Particles Wavering Search (PPS) algorithm has been applied to solve optimal reactive power problem. PPS algorithm has been modeled based on the motion of the particles in the exploration space. Normally the movement of the particle is based on gradient and swarming motion. Particles are permitted to progress in steady velocity in gradient- based progress, but when the outcome is poor when compared to previous upshot, immediately particle rapidity will be upturned with semi of the magnitude and it will help to reach local optimal solution and it is expressed as wavering movement. In standard IEEE 14, 30, 57,118,300 bus systems Proposed Predestination of Particles Wavering Search (PPS) algorithm is evaluated and simulation results show the PPS reduced the power loss efficiently. Keywords: Optimal reactive power Predestination of particles wavering search algorithm Transmission loss This is an open access article under the CC BY-SA license. Corresponding Author: Kanagasabai Lenin, Department of EEE, Prasad V. Potluri Siddhartha Institute of Technology, Kanuru, Vijayawada, Andhra Pradesh -520007, India. Email: gklenin@gmail.com 1. INTRODUCTION Reactive power problem plays a key role in secure and economic operations of power system. Optimal reactive power problem has been solved by variety of types of methods [1-6]. Nevertheless numerous scientific difficulties are found while solving problem due to an assortment of constraints. Evolutionary techniques [7-15] are applied to solve the reactive power problem, but the main problem is many algorithms get stuck in local optimal solution & failed to balance the Exploration & Exploitation during the search of global solution. In this work, Predestination of Particles Wavering Search (PPS) algorithm has been applied to solve optimal reactive power problem. PPS algorithm has been modeled based on the motion of the particles in the exploration space. Particles will arbitrarily move in the exploration space in many algorithms which has been already applied to many optimization problems. In the PPS algorithm particles are distributed in the exploration space consistently. In an atom how the electrons positioned in the centre accordingly particles are in the exploration space. Normally the movement of the particle is based on gradient and swarming motion [16, 17]. When the gradient method failed then swarming is executed by inducing the particle shift towards the global most excellent position by modernizing the velocity. Validity of the Proposed Predestination of Particles Wavering Search (PPS) algorithm has been tested in standard IEEE 14, 30, 57,118, 300 bus systems and results show the projected PPS reduced the power loss effectively.
  • 2. Int J Inf & Commun Technol ISSN: 2252-8776  Real power loss diminution by predestination of particles wavering… (Kanagasabai Lenin) 93 2. PROBLEM FORMULATION Objective of the problem is to reduce the true power loss: 𝐅 = 𝐏𝐋 = βˆ‘ 𝐠 π€π€βˆˆππ›π« (𝐕𝐒 𝟐 + 𝐕𝐣 𝟐 βˆ’ πŸπ•π’ 𝐕𝐣 πœπ¨π¬π›‰π’π£) (1) Voltage deviation given as follows: 𝐅 = 𝐏𝐋 + π›š 𝐯 Γ— 𝐕𝐨π₯𝐭𝐚𝐠𝐞 πƒπžπ―π’πšπ­π’π¨π§ (2) Voltage deviation given by: 𝐕𝐨π₯𝐭𝐚𝐠𝐞 πƒπžπ―π’πšπ­π’π¨π§ = βˆ‘ |𝐕𝐒 βˆ’ 𝟏| 𝐍𝐩πͺ 𝐒=𝟏 (3) Constraint (Equality) 𝐏 𝐆 = 𝐏 𝐃 + 𝐏𝐋 (4) Constraints (Inequality) 𝐏𝐠𝐬π₯𝐚𝐜𝐀 𝐦𝐒𝐧 ≀ 𝐏𝐠𝐬π₯𝐚𝐜𝐀 ≀ 𝐏𝐠𝐬π₯𝐚𝐜𝐀 𝐦𝐚𝐱 (5) 𝐐 𝐠𝐒 𝐦𝐒𝐧 ≀ 𝐐 𝐠𝐒 ≀ 𝐐 𝐠𝐒 𝐦𝐚𝐱 , 𝐒 ∈ 𝐍 𝐠 (6) 𝐕𝐒 𝐦𝐒𝐧 ≀ 𝐕𝐒 ≀ 𝐕𝐒 𝐦𝐚𝐱 , 𝐒 ∈ 𝐍 (7) 𝐓𝐒 𝐦𝐒𝐧 ≀ 𝐓𝐒 ≀ 𝐓𝐒 𝐦𝐚𝐱 , 𝐒 ∈ 𝐍 𝐓 (8) Qc min ≀ Qc ≀ QC max , i ∈ NC (9) 3. PREDESTINATION OF PARTICLES WAVERING SEARCH ALGORITHM Predestination of Particles Wavering Search (PPS) algorithm has been modeled based on the motion of the particles in the exploration space. Particles will arbitrarily move in the exploration space in many algorithms which has been already applied to many optimization problems. In the PPS algorithm particles are distributed in the exploration space consistently. In an atom how the electrons positioned in the centre accordingly particles are in the exploration space. Normally the movement of the particle is based on gradient and swarming motion. Particles velocity has been initiated as follows, π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦π‘– 0 = [ 𝑦 π‘π‘’π‘ π‘‘βˆ’π‘¦π‘– 0 2 ] (10) Particles are permitted to progress in steady velocity in gradient-based progress, but when the outcome is poor when compared to previous upshot, immediately particle rapidity will be upturned with semi of the magnitude and it will help to reach local optimal solution and it is expressed as wavering movement. Particle moves from point of slope 𝑦1 to 𝑦2 then it end’s in negative fitness slope and when the particle velocity is multiplied by the value -0.50, subsequently the particle moves from 𝑦2 to 𝑦3 then sequentially it end’s in positive fitness slope, through this motion particle reach 𝑦4 afterwards a negative fitness slope attained again by the particle then once again by -0.50 the particle velocity will be multiplied. Next at 𝑦5 particle will attain, now the particle fitness will be positive slope, then in the same way particle continues its motion and it reach the point 𝑦6. Once particle reaches the local optimal point 𝑦 π‘œπ‘π‘‘π‘–π‘šπ‘Žπ‘™ then the velocity will be reversed again. When the gradient method failed then swarming is executed by inducing the particle shift towards the global most excellent position by modernizing the velocity as given below, π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦π‘– 𝑑+1 = π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦π‘– 𝑑 + [ 𝑦 π‘π‘’π‘ π‘‘βˆ’π‘¦π‘– 𝑑 2 ] (11)
  • 3.  ISSN: 2252-8776 Int J Inf & Commun Technol, Vol. 9, No. 2, August 2020: 92 – 99 94 When the progress develop into constructive subsequently particle prolong to discover any more local optimal solution, and this procedure persist until maximum number of evaluation has been attained. Predestination of Particles Wavering Search (PPS) algorithm defined as follows, Step 1 In the exploration space Initiate the particle’s position with reference to boundary limits Step 2: i=1; k =1 Step 3: Iterative procedure: With respect to upper and lower boundaries particle positions are initiated While (i < = sum of particles) Particles possible combinations has to be discovered For c=1: sum of combinations With respect to positions and combinations alter the positions of the particle 𝑦𝑖 as elevated values i ++ End for k ++ if (k > dimensions) / when no boundary combinations are found then leave the loop / Break End if End while Step 4: Between two particles which has been already initiated some more particles are present, then factor based procedure is applied to reorganize the particle positions Particles number are factorized f=factor (n) ; n = sum of particles ; f is an array to store the factor values Iterative procedure: While (i <= n) For c=1: sum of factors (with reference to length of β€œf”) For j=1: dimensions (p) For i = 1:f(c) 𝑦𝑖(𝑗) = π‘šπ‘–π‘›π‘–π‘šπ‘’π‘š(𝑗) + π‘˜βˆ—(π‘šπ‘Žπ‘₯π‘–π‘šπ‘’π‘š(𝑗) βˆ’ π‘šπ‘–π‘›π‘–π‘šπ‘’π‘š(𝑗))/(𝑓(𝑐) + 1) i++ End End if i >n then when no boundary combinations are found then leave the loop Repeat step 4 with Minimum and Maximum are exchanged Break End if End for End while Then with suitable parameters projected Predestination of Particles Wavering Search (PPS) algorithm is applied to solve the optimal reactive power problem as shown below, Step 1: Initialization of parameters Step 2: In the exploration space Initiate the particle’s position with reference to boundary limits Step 3: Particles fitness values are computed and most excellent particle will be identified Step 4: Velocity of the particles are initialized through π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦π‘– 0 = [ 𝑦 π‘π‘’π‘ π‘‘βˆ’π‘¦π‘– 0 2 ] Step 5: Iterative procedure While (computation number < maximum number of computation) For i = 1; sum of particles By augmenting the velocity to the present position determine new-fangled position With reference to new-fangled position particle fitness should be calculated Augmentations of computation counter, and then modernize global most excellent solution When (slope = = unknown) then modernize slope of the particle with reference to new fitness to be positive or negative; Otherwise when (slope = = positive) When (new-fangled fitness inferior than previous fitness); Then modernize velocity by " βˆ’ π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦ 2 " ; modernize the slope with reference to new-fangled fitness to be negative; otherwise (slope = = negative) When (new-fangled fitness inferior than the previous fitness) Then modernize velocity by π‘£π‘’π‘™π‘œπ‘π‘–π‘‘π‘¦ + (π‘”π‘™π‘œπ‘π‘Žπ‘™ π‘šπ‘œπ‘ π‘‘ 𝑒π‘₯𝑐𝑒𝑙𝑙𝑒𝑛𝑑 π‘π‘œπ‘ π‘–π‘‘π‘–π‘œπ‘› βˆ’ π‘π‘Ÿπ‘’π‘ π‘’π‘›π‘‘ π‘π‘œπ‘ π‘–π‘‘π‘–π‘œπ‘› 2⁄ ) Update slope to be unknown
  • 4. Int J Inf & Commun Technol ISSN: 2252-8776  Real power loss diminution by predestination of particles wavering… (Kanagasabai Lenin) 95 End if End for End while Step 6: Global most excellent particle position found with fitness value Step 7; Output the result 4. SIMULATION RESULTS In standard IEEE 14 bus system the validity of the projected Predestination of Particles Wavering Search (PPS) algorithm has been tested, Table 1 shows the constraints of control variables Table 2 shows the limits of reactive power generators and comparison results are presented in Table 3. Table 1. Constraints of control variables System Variables Minimum (PU) Maximum (PU) IEEE 14 Bus Generator Voltage 0.95 1.1 Transformer Tap 0.9 1.1 VAR Source 0 0.20 Table 2. Constrains of reactive power generators System Variables Q Minimum (PU) Q Maximum (PU) IEEE 14 Bus 1 0 10 2 -40 50 3 0 40 6 -6 24 8 -6 24 Table 3. Simulation results of IEEEβˆ’14 system Control variables Base case MPSO [18] PSO [18] EP [18] SARGA [18] PPS π‘‰πΊβˆ’1 1.060 1.100 1.100 NR* NR* 1.012 π‘‰πΊβˆ’2 1.045 1.085 1.086 1.029 1.060 1.013 π‘‰πΊβˆ’3 1.010 1.055 1.056 1.016 1.036 1.019 π‘‰πΊβˆ’6 1.070 1.069 1.067 1.097 1.099 1.024 π‘‰πΊβˆ’8 1.090 1.074 1.060 1.053 1.078 1.003 π‘‡π‘Žπ‘ 8 0.978 1.018 1.019 1.04 0.95 0.904 π‘‡π‘Žπ‘ 9 0.969 0.975 0.988 0.94 0.95 0.903 π‘‡π‘Žπ‘ 10 0.932 1.024 1.008 1.03 0.96 0.920 π‘„πΆβˆ’9 0.19 14.64 0.185 0.18 0.06 0.145 𝑃𝐺 272.39 271.32 271.32 NR* NR* 271.60 𝑄𝐺 (Mvar) 82.44 75.79 76.79 NR* NR* 74.75 Reduction in PLoss (%) 0 9.2 9.1 1.5 2.5 24.67 Total PLoss (Mw) 13.550 12.293 12.315 13.346 13.216 10.206 NR*-Not reported Then the projected Predestination of Particles Wavering Search (PPS) algorithm has been tested, in IEEE 30 Bus system. Table 4 shows the constraints of control variables, Table 5 shows the limits of reactive power generators and comparison results are presented in Table 6. Table 4. Constraints of control variables System Variables Minimum (PU) Maximum (PU) IEEE 30 Bus Generator Voltage 0.95 1.1 Transformer Tap o.9 1.1 VAR Source 0 0.20 Table 5. Constrains of reactive power generators System Variables Q Minimum (PU) Q Maximum (PU) IEEE 30 Bus 1 0 10 2 -40 50 5 -40 40 8 -10 40 11 -6 24 13 -6 24
  • 5.  ISSN: 2252-8776 Int J Inf & Commun Technol, Vol. 9, No. 2, August 2020: 92 – 99 96 Table 6. Simulation results of IEEE βˆ’30 system Control variables Base case MPSO [18] PSO [18] EP [18] SARGA [18] PPS π‘‰πΊβˆ’1 1.060 1.101 1.100 NR* NR* 1.013 π‘‰πΊβˆ’2 1.045 1.086 1.072 1.097 1.094 1.014 π‘‰πΊβˆ’5 1.010 1.047 1.038 1.049 1.053 1.061 π‘‰πΊβˆ’8 1.010 1.057 1.048 1.033 1.059 1.005 π‘‰πΊβˆ’12 1.082 1.048 1.058 1.092 1.099 1.024 VG-13 1.071 1.068 1.080 1.091 1.099 1.043 Tap11 0.978 0.983 0.987 1.01 0.99 0.904 Tap12 0.969 1.023 1.015 1.03 1.03 0.912 Tap15 0.932 1.020 1.020 1.07 0.98 0.906 Tap36 0.968 0.988 1.012 0.99 0.96 0.905 QC10 0.19 0.077 0.077 0.19 0.19 0.064 QC24 0.043 0.119 0.128 0.04 0.04 0.103 𝑃𝐺 (MW) 300.9 299.54 299.54 NR* NR* 298.62 𝑄𝐺 (Mvar) 133.9 130.83 130.94 NR* NR* 130.74 Reduction in PLoss (%) 0 8.4 7.4 6.6 8.3 18.41 Total PLoss (Mw) 17.55 16.07 16.25 16.38 16.09 14.319 NR*-Not reported. Then the proposed Predestination of Particles Wavering Search (PPS) algorithm has been tested, in IEEE 57 Bus system. Table 7 shows the constraints of control variables, Table 8 shows the limits of reactive power generators and comparison results are presented in Table 9. Table 7. constraints of control variables System Variables Minimum (PU) Maximum (PU) IEEE 57 Bus Generator Voltage 0.95 1.1 Transformer Tap o.9 1.1 VAR Source 0 0.20 Table 8. Constrains of reactive power generators System Variables Q Minimum (PU) Q Maximum (PU) IEEE 57 Bus 1 -140 200 2 -17 50 3 -10 60 6 -8 25 8 -140 200 9 -3 9 12 -150 155 Table 9. Simulation results of IEEEβˆ’57 system Control variables Base case MPSO [18] PSO [18] CGA [18] AGA [18] PPS 𝑉𝐺 1 1.040 1.093 1.083 0.968 1.027 1.024 𝑉𝐺 2 1.010 1.086 1.071 1.049 1.011 1.013 𝑉𝐺 3 0.985 1.056 1.055 1.056 1.033 1.033 𝑉𝐺 6 0.980 1.038 1.036 0.987 1.001 1.012 𝑉𝐺 8 1.005 1.066 1.059 1.022 1.051 1.030 𝑉𝐺 9 0.980 1.054 1.048 0.991 1.051 1.014 𝑉𝐺 12 1.015 1.054 1.046 1.004 1.057 1.042 π‘‡π‘Žπ‘ 19 0.970 0.975 0.987 0.920 1.030 0.953 π‘‡π‘Žπ‘ 20 0.978 0.982 0.983 0.920 1.020 0.934 π‘‡π‘Žπ‘ 31 1.043 0.975 0.981 0.970 1.060 0.920 π‘‡π‘Žπ‘ 35 1.000 1.025 1.003 NR* NR* 1.012 π‘‡π‘Žπ‘ 36 1.000 1.002 0.985 NR* NR* 1.004 π‘‡π‘Žπ‘ 37 1.043 1.007 1.009 0.900 0.990 1.005 π‘‡π‘Žπ‘ 41 0.967 0.994 1.007 0.910 1.100 0.990 π‘‡π‘Žπ‘ 46 0.975 1.013 1.018 1.100 0.980 1.010 π‘‡π‘Žπ‘ 54 0.955 0.988 0.986 0.940 1.010 0.973 π‘‡π‘Žπ‘ 58 0.955 0.979 0.992 0.950 1.080 0.962 π‘‡π‘Žπ‘ 59 0.900 0.983 0.990 1.030 0.940 0.961 π‘‡π‘Žπ‘ 65 0.930 1.015 0.997 1.090 0.950 1.003 π‘‡π‘Žπ‘ 66 0.895 0.975 0.984 0.900 1.050 0.952 π‘‡π‘Žπ‘ 71 0.958 1.020 0.990 0.900 0.950 1.003 π‘‡π‘Žπ‘ 73 0.958 1.001 0.988 1.000 1.010 1.004 π‘‡π‘Žπ‘ 76 0.980 0.979 0.980 0.960 0.940 0.961
  • 6. Int J Inf & Commun Technol ISSN: 2252-8776  Real power loss diminution by predestination of particles wavering… (Kanagasabai Lenin) 97 Table 9. Simulation results of IEEEβˆ’57 system (Continued) Control variables Base case MPSO [18] PSO [18] CGA [18] AGA [18] PPS π‘‡π‘Žπ‘ 80 0.940 1.002 1.017 1.000 1.000 1.003 𝑄𝐢 18 0.1 0.179 0.131 0.084 0.016 0.172 𝑄𝐢 25 0.059 0.176 0.144 0.008 0.015 0.160 𝑄𝐢 53 0.063 0.141 0.162 0.053 0.038 0.142 𝑃𝐺 (MW) 1278.6 1274.4 1274.8 1276 1275 1270.12 𝑄𝐺 (Mvar) 321.08 272.27 276.58 309.1 304.4 272.33 Reduction in PLoss (%) 0 15.4 14.1 9.2 11.6 23.36 Total PLoss (Mw) 27.8 23.51 23.86 25.24 24.56 21.305 NR*-Not reported. Then the Predestination of Particles Wavering Search (PPS) algorithm has been tested, in IEEE 118 Bus system. Table 10 shows the constraints of control variables and comparison results are presented in Table 11. Table 10. Constraints of control variables System Variables Minimum (PU) Maximum (PU) IEEE 118 Bus Generator Voltage 0.95 1.1 Transformer Tap o.9 1.1 VAR Source 0 0.20 Table 11. Simulation results of IEEEβˆ’118 system Control variables Base case MPSO [18] PSO [18] PSO [18] CLPSO [18] PPS 𝑉𝐺 1 0.955 1.021 1.019 1.085 1.033 1.013 𝑉𝐺 4 0.998 1.044 1.038 1.042 1.055 1.042 𝑉𝐺 6 0.990 1.044 1.044 1.080 0.975 1.024 𝑉𝐺 8 1.015 1.063 1.039 0.968 0.966 1.003 𝑉𝐺 10 1.050 1.084 1.040 1.075 0.981 1.012 𝑉𝐺 12 0.990 1.032 1.029 1.022 1.009 1.021 𝑉𝐺 15 0.970 1.024 1.020 1.078 0.978 1.034 𝑉𝐺 18 0.973 1.042 1.016 1.049 1.079 1.042 𝑉𝐺 19 0.962 1.031 1.015 1.077 1.080 1.034 𝑉𝐺 24 0.992 1.058 1.033 1.082 1.028 1.010 𝑉𝐺 25 1.050 1.064 1.059 0.956 1.030 1.031 𝑉𝐺 26 1.015 1.033 1.049 1.080 0.987 1.050 𝑉𝐺 27 0.968 1.020 1.021 1.087 1.015 0.902 𝑉𝐺31 0.967 1.023 1.012 0.960 0.961 0.901 𝑉𝐺 32 0.963 1.023 1.018 1.100 0.985 0.913 𝑉𝐺 34 0.984 1.034 1.023 0.961 1.015 1.002 𝑉𝐺 36 0.980 1.035 1.014 1.036 1.084 1.001 𝑉𝐺 40 0.970 1.016 1.015 1.091 0.983 0.960 𝑉𝐺 42 0.985 1.019 1.015 0.970 1.051 1.001 𝑉𝐺 46 1.005 1.010 1.017 1.039 0.975 1.002 𝑉𝐺 49 1.025 1.045 1.030 1.083 0.983 1.003 𝑉𝐺 54 0.955 1.029 1.020 0.976 0.963 0.920 𝑉𝐺 55 0.952 1.031 1.017 1.010 0.971 0.961 𝑉𝐺56 0.954 1.029 1.018 0.953 1.025 0.954 𝑉𝐺 59 0.985 1.052 1.042 0.967 1.000 0.963 𝑉𝐺 61 0.995 1.042 1.029 1.093 1.077 0.970 𝑉𝐺 62 0.998 1.029 1.029 1.097 1.048 0.982 𝑉𝐺 65 1.005 1.054 1.042 1.089 0.968 1.001 𝑉𝐺 66 1.050 1.056 1.054 1.086 0.964 1.002 𝑉𝐺 69 1.035 1.072 1.058 0.966 0.957 1.050 𝑉𝐺 70 0.984 1.040 1.031 1.078 0.976 1.034 𝑉𝐺 72 0.980 1.039 1.039 0.950 1.024 1.020 𝑉𝐺 73 0.991 1.028 1.015 0.972 0.965 1.013 𝑉𝐺 74 0.958 1.032 1.029 0.971 1.073 1.014 𝑉𝐺 76 0.943 1.005 1.021 0.960 1.030 1.005 𝑉𝐺 77 1.006 1.038 1.026 1.078 1.027 1.006 𝑉𝐺 80 1.040 1.049 1.038 1.078 0.985 1.003 𝑉𝐺 85 0.985 1.024 1.024 0.956 0.983 1.014 𝑉𝐺 87 1.015 1.019 1.022 0.964 1.088 1.013 𝑉𝐺 89 1.000 1.074 1.061 0.974 0.989 1.042 𝑉𝐺 90 1.005 1.045 1.032 1.024 0.990 1.031 𝑉𝐺 91 0.980 1.052 1.033 0.961 1.028 1.000 𝑉𝐺 92 0.990 1.058 1.038 0.956 0.976 1.031
  • 7.  ISSN: 2252-8776 Int J Inf & Commun Technol, Vol. 9, No. 2, August 2020: 92 – 99 98 Table 11. Simulation results of IEEEβˆ’118 system (Continued) Control variables Base case MPSO [18] PSO [18] PSO [18] CLPSO [18] PPS 𝑉𝐺 99 1.010 1.023 1.037 0.954 1.088 1.003 𝑉𝐺 100 1.017 1.049 1.037 0.958 0.961 1.001 𝑉𝐺 103 1.010 1.045 1.031 1.016 0.961 1.010 𝑉𝐺 104 0.971 1.035 1.031 1.099 1.012 1.001 𝑉𝐺 105 0.965 1.043 1.029 0.969 1.068 1.050 𝑉𝐺 107 0.952 1.023 1.008 0.965 0.976 1.012 𝑉𝐺 110 0.973 1.032 1.028 1.087 1.041 1.014 𝑉𝐺 111 0.980 1.035 1.039 1.037 0.979 1.000 𝑉𝐺 112 0.975 1.018 1.019 1.092 0.976 1.091 𝑉𝐺 113 0.993 1.043 1.027 1.075 0.972 1.000 𝑉𝐺 116 1.005 1.011 1.031 0.959 1.033 1.001 π‘‡π‘Žπ‘ 8 0.985 0.999 0.994 1.011 1.004 0.943 π‘‡π‘Žπ‘ 32 0.960 1.017 1.013 1.090 1.060 1.000 π‘‡π‘Žπ‘ 36 0.960 0.994 0.997 1.003 1.000 0.951 π‘‡π‘Žπ‘ 51 0.935 0.998 1.000 1.000 1.000 0.933 π‘‡π‘Žπ‘ 93 0.960 1.000 0.997 1.008 0.992 1.002 π‘‡π‘Žπ‘ 95 0.985 0.995 1.020 1.032 1.007 0.970 π‘‡π‘Žπ‘ 102 0.935 1.024 1.004 0.944 1.061 1.001 π‘‡π‘Žπ‘ 107 0.935 0.989 1.008 0.906 0.930 0.942 π‘‡π‘Žπ‘ 127 0.935 1.010 1.009 0.967 0.957 1.000 𝑄𝐢 34 0.140 0.049 0.048 0.093 0.117 0.002 𝑄𝐢 44 0.100 0.026 0.026 0.093 0.098 0.021 𝑄𝐢 45 0.100 0.196 0.197 0.086 0.094 0.163 𝑄𝐢 46 0.100 0.117 0.118 0.089 0.026 0.120 𝑄𝐢 48 0.150 0.056 0.056 0.118 0.028 0.042 𝑄𝐢 74 0.120 0.120 0.120 0.046 0.005 0.110 𝑄𝐢 79 0.200 0.139 0.140 0.105 0. 148 0.102 𝑄𝐢 82 0.200 0.180 0.180 0.164 0.194 0.150 𝑄𝐢 83 0.100 0.166 0.166 0.096 0.069 0.123 𝑄𝐢 105 0.200 0.189 0.190 0.089 0.090 0.151 𝑄𝐢 107 0.060 0.128 0.129 0.050 0.049 0.133 𝑄𝐢 110 0.060 0.014 0.014 0.055 0.022 0.001 PG(MW) 4374.8 4359.3 4361.4 NR* NR* 4362.10 QG(MVAR) 795.6 604.3 653.5 NR* NR* 610.11 Reduction in PLOSS (%) 0 11.7 10.1 0.6 1.3 13.84 Total PLOSS (Mw) 132.8 117.19 119.34 131.99 130.96 114.418 NR*-Not reported. Then IEEE 300 bus system [18] is used as test system to authenticate the good performance of the Predestination of Particles Wavering Search (PPS) algorithm. Table 12 shows the comparison of real power loss obtained after optimization. Table 12. Comparison of real power loss Parameter Method EGA [20] Method EEA [20] Method CSA [21] PPS PLOSS (MW) 646.2998 650.6027 635.8942 610.3371 5. CONCLUSION In this work Predestination of Particles Wavering Search (PPS) algorithm successfully solved the optimal reactive power problem. In the PPS algorithm particles are distributed in the exploration space consistently. In an atom how the electrons positioned in the centre accordingly particles are in the exploration space. Normally the movement of the particle is based on gradient and swarming motion. Particles are permitted to progress in steady velocity in gradient-based progress, but when the outcome is poor when compared to previous upshot, immediately particle rapidity will be upturned. In standard IEEE 14, 30, 57,118, 300 bus systems Predestination of Particles Wavering Search (PPS) algorithm have been tested and power loss has been reduced efficiently.
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