scholarly journals TOPOLOGICAL PROPERTIES OF FRACTAL JULIA SETS RELATED TO THE SIGNS OF REAL AND REACTIVE ELECTRIC POWERS

Fractals ◽  
2019 ◽  
Vol 27 (04) ◽  
pp. 1950066 ◽  
Author(s):  
HÉCTOR A. TABARES-OSPINA ◽  
JOHN E. CANDELO-BECERRA
Keyword(s):  
Reactive Power ◽  
Julia Sets ◽  
Electrical Circuit ◽  
Topological Properties ◽  
Real Power ◽  
The Real ◽  
Complex Power ◽  
Complex Planes ◽  
The Mathematical Model ◽  
Clear Relation

This paper focuses on applying fractal Julia sets to observe the topological properties related to the signs of the real and reactive electric powers. To perform this, different power combinations were used to represent the fractal diagrams with an algorithm that considers the mathematical model of Julia sets. The study considers three cases: the first study considers the change of real power when the reactive power is fixed; the second study deals with the change of the reactive power when the real power is fixed; and finally, the third study contemplates that both real and reactive powers change. Furthermore, the fractal diagrams of the power in the four quadrants of the complex plane are studied to identify the topological properties for each sign. A qualitative analysis of the diagrams helps identify that complex power loads present some fractal graphic patterns with respect to the signs considered in the different quadrants of the complex planes. The diagrams represented in the complex planes save a relation in the forms and structure with other points studied, concluding that the power is related to other figures in other quadrants. Thus, this result allows a new study of the behavior of power in an electrical circuit by showing a clear relation of the different fractal diagrams obtained by the Julia sets.

scholarly journals Fractal representation of the power demand based on topological properties of julia sets

2019 ◽  
Vol 9 (4) ◽  
pp. 2831
Author(s):  
Hector A. Tabares-Ospina ◽  
John E. Candelo-Becerra ◽  
Fredy E. Hoyos Velasco
Keyword(s):  
Electric Power ◽  
Reactive Power ◽  
Graphical Representation ◽  
Julia Sets ◽  
Complex Numbers ◽  
Power Demand ◽  
Topological Properties ◽  
Real Power ◽  
Load Demand ◽  
Fractal Representation

In a power system, the load demand considers two components such as the real power (P) because of resistive elements, and the reactive power (Q) because inductive or capacitive elements. This paper presents a graphical representation of the electric power demand based on the topological properties of the Julia Sets, with the purpose of observing the different graphic patterns and relationship with the hourly load consumptions. An algorithm that iterates complex numbers related to power is used to represent each fractal diagram of the load demand. The results show some representative patterns related to each value of the power consumption and similar behaviour in the fractal diagrams, which allows to understand consumption behaviours from the different hours of the day. This study allows to make a relation among the different consumptions of the day to create relationships that lead to the prediction of different behaviour patterns of the curves.

Factual Power Loss Diminution by Enhanced Frog Leaping Algorithm

2020 ◽  
Vol 3 (2) ◽  
pp. 114-118
Author(s):  
Kanagasabai Lenin
Keyword(s):  
Local Search ◽  
Power Loss ◽  
Reactive Power ◽  
Test System ◽  
Premature Convergence ◽  
Speed Of Convergence ◽  
Real Power ◽  
The Real ◽  
Simulation Results ◽  
Power Problem

This paper proposes Enhanced Frog Leaping Algorithm (EFLA) to solve the optimal reactive power problem. Frog leaping algorithm (FLA) replicates the procedure of frogs passing though the wetland and foraging deeds. Set of virtual frogs alienated into numerous groups known as “memeplexes”. Frog’s position’s turn out to be closer in every memeplex after few optimization runs and certainly, this crisis direct to premature convergence. In the proposed Enhanced Frog Leaping Algorithm (EFLA) the most excellent frog information is used to augment the local search in each memeplex and initiate to the exploration bound acceleration. To advance the speed of convergence two acceleration factors are introduced in the exploration plan formulation. Proposed Enhanced Frog Leaping Algorithm (EFLA) has been tested in standard IEEE 14,300 bus test system and simulation results show the projected algorithm reduced the real power loss considerably.

scholarly journals ENHANCED SPIDER ALGORITHM FOR MINIMIZATION OF REAL POWER LOSS

2018 ◽  
Vol 6 (4) ◽  
pp. 301-311
Author(s):  
K. Lenin
Keyword(s):  
Power Loss ◽  
Reactive Power ◽  
High Quality ◽  
Quality Performance ◽  
Real Power ◽  
Social Spiders ◽  
The Real ◽  
Spider Web ◽  
Simulation Results ◽  
Power Problem

In this paper Enhanced Spider (ES) algorithm is proposed to solve reactive power Problem. Enthused by the spiders, a new Enhanced Spider (ES) algorithm is utilized to solve reactive power problem. The composition is primarily based on the foraging approach of social spiders, which make use of of the vibrations spread over the spider web to choose the position of prey. The simulation results demonstrate high-quality performance of Enhanced Spider (ES) algorithm in solving reactive power problem.  The projected Enhanced Spider (ES) algorithm has been tested in standard IEEE 57,118 bus systems and compared to other reported standard algorithms. Results show that Enhanced Spider (ES) algorithm is more efficient than other algorithms in reducing the real power loss.

scholarly journals SUPERLATIVE ALGORITHM FOR REDUCTION OF ACTIVE POWER LOSS

2017 ◽  
Vol 5 (10) ◽  
pp. 101-111
Author(s):  
K. Lenin
Keyword(s):  
Power Loss ◽  
Reactive Power ◽  
Optimization Methods ◽  
Direction Finding ◽  
Active Power ◽  
Real Power ◽  
The Real ◽  
Spinner Dolphin ◽  
Result Show ◽  
Power Problem

This paper proposes Spinner Dolphin Algorithm (SDA) for solving optimal reactive power problem. Echolocation is the genetic sonar used by Spinner dolphin & it used by few kinds of other animals for direction-finding, hunting in diverse environments. This ability of Spinner dolphin is imitated in this paper to develop a new-fangled procedure for solving optimal reactive power problem. Spinner Dolphin Algorithm (SDA) takes reward of the overriding rules and outperforms many vigorous optimization methods. The new-fangled approach SDA leads to exceptional results with small computational efforts. In order to evaluate the efficiency of the proposed algorithm, it has been tested Standard IEEE 57,118 bus systems and compared to other specified algorithms. Simulation result show that Spinner Dolphin Algorithm (SDA) is advanced to other algorithms in reducing the real power loss and voltage profiles are within the limits

scholarly journals Two bio-inspired algorithms for solving optimal reactive power problem

2020 ◽  
Vol 9 (3) ◽  
pp. 180
Author(s):  
Lenin Kanagasabai
Keyword(s):  
Sperm Motility ◽  
Optimization Algorithm ◽  
Power Loss ◽  
Reactive Power ◽  
Spontaneous Movement ◽  
Real Power ◽  
The Real ◽  
Test Systems ◽  
Power Problem

<span>In this work two ground-breaking algorithms called; Sperm Motility (SM) algorithm &amp; Wolf Optimization (WO) algorithm is used for solving reactive power problem. In sperm motility approach spontaneous movement of the sperm is imitated &amp; species chemo attractant, sperms are enthralled in the direction of the ovum. In wolf optimization algorithm the deeds of wolf is imitated in the formulation &amp; it has a flag vector also length is equivalent to the whole sum of numbers in the dataset the optimization. Both the projected algorithms have been tested in standard IEEE 57,118, 300 bus test systems. Simulated outcomes reveal about the reduction of real power loss &amp; with variables are in the standard limits. Almost both algorithms solved the problem efficiently, yet wolf optimization has slight edge over the sperm motility algorithm in reducing the real power loss.</span>

scholarly journals ENHANCED MINE BLAST ALGORITHM FOR SOLVING REACTIVE POWER PROBLEM

2017 ◽  
Vol 5 (9) ◽  
pp. 206-216
Author(s):  
K. Lenin
Keyword(s):  
Power Loss ◽  
Reactive Power ◽  
Convergence Speed ◽  
Superior Performance ◽  
Real Power ◽  
The Real ◽  
Test Systems ◽  
Simulation Results ◽  
Bomb Explosion ◽  
Power Problem

In this paper Enhanced Mine Blast (EMB) algorithm which based on mine bomb explosion concept is proposed to solve optimal reactive power problem.The clue of the projected Enhanced Mine Blast (EMB) algorithm is based on the examination of a mine bomb explosion, in which the thrown pieces of shrapnel crash with other mine bombs near the explosion area resulting in their explosion. In this paper convergence speed has been enhanced. Proposed Enhanced Mine Blast (EMB) algorithm has been tested in standard IEEE 118 & practical 191 bus test systems and simulation results show clearly the superior performance of the projected Enhanced Mine Blast (EMB) algorithm in reducing the real power loss.

scholarly journals DECREASING ACTUAL POWER LOSS BY REFINED ABC ALGORITHM

2017 ◽  
Vol 5 (10) ◽  
pp. 63-71
Author(s):  
K. Lenin
Keyword(s):  
Power Loss ◽  
Artificial Bee Colony ◽  
Reactive Power ◽  
Real Power ◽  
Abc Algorithm ◽  
The Real ◽  
Bee Colony ◽  
Search Speed ◽  
Convergence Performance ◽  
Power Problem

Refined ABC algorithm (RABC) proposed in this paper to solve the optimal reactive power problem. An artificial bee colony (ABC) algorithm is one of copious swarm intelligence algorithms that employ the foraging behavior of honeybee colonies. To progress the convergence performance and search speed of finding the best solution RABC algorithm has been developed. The main objective in this problem is to minimize the real power loss and also to keep the variables within the specified limits. Proposed Refined ABC (RABC) algorithm has been tested in standard IEEE 118 & practical 191 bus test systems and simulations results reveal about the better performance of the proposed Refined ABC algorithm (RABC) algorithm in reducing the real power loss and the voltage profiles within the limits.

scholarly journals REDUCTION OF REAL POWER LOSS BY LAVA HERON OPTIMIZATION ALGORITHM

2017 ◽  
Vol 5 (8) ◽  
pp. 85-93
Author(s):  
K. Lenin
Keyword(s):  
Optimization Algorithm ◽  
Power Loss ◽  
Reactive Power ◽  
Saline Water ◽  
Real Power ◽  
The Real ◽  
Simulation Results ◽  
Power Problem

This paper presents a new Lava Heron Optimization (LHO) Algorithm for solving reactive power problem. This algorithm is inspired by the grab skill of the Lava Heron bird. Lava heron bird live in on the freshwater or saline water, swampy marshes or wetlands with tuft of trees mostly in low lying areas, where there are abundant convenience of fishes as their prey. By using the prey catching skill of the Lava Heron bird algorithm has been framed and utilized to minimize the real power loss. Proposed Lava Heron Optimization (LHO) Algorithm has been tested in standard IEEE 57,118 bus systems and simulation results demonstrate the commendable performance of the projected Lava Heron Optimization (LHO) Algorithm in reducing the real power loss.

scholarly journals Passerine swarm optimization algorithm for solving optimal reactive power dispatch problem

2020 ◽  
Vol 9 (2) ◽  
pp. 101
Author(s):  
Lenin Kanagasabai
Keyword(s):  
Optimization Algorithm ◽  
Power Loss ◽  
Reactive Power ◽  
Passerine Bird ◽  
Swarm Optimization ◽  
Real Power ◽  
The Real ◽  
Optimal Reactive Power Dispatch ◽  
Power Dispatch ◽  
Reactive Power Dispatch

<span>This paper presents Passerine Swarm Optimization Algorithm (PSOA) for solving optimal reactive power dispatch problem. This algorithm is based on behaviour of social communications of Passerine bird. Basically, Passerine bird has three common behaviours: search behaviour, adherence behaviour and expedition behaviour. Through the shared communications Passerine bird will search for the food and also run away from hunters. By using the Passerine bird communications and behaviour, five basic rules have been created in the PSOA approach to solve the optimal reactive power dispatch problem. Key aspect is to reduce the real power loss and also to keep the variables within the limits. Proposed Passerine Swarm Optimization Algorithm (PSOA) has been tested in standard IEEE 30 bus test system and simulations results reveal about the better performance of the proposed algorithm in reducing the real power loss and enhancing the static voltage stability margin</span>

scholarly journals REDUCTION OF ACTIVE POWER LOSS BY IMPROVED FROG LEAPING ALGORITHM

2017 ◽  
Vol 5 (9) ◽  
pp. 44-51
Author(s):  
K. Lenin
Keyword(s):  
Particle Swarm Optimization ◽  
Local Search ◽  
Power Loss ◽  
Reactive Power ◽  
Active Power ◽  
Swarm Optimization ◽  
Real Power ◽  
The Real ◽  
Simulation Results ◽  
Power Problem

This paper presents Improved Frog Leaping (IFL) algorithm for solving optimal reactive power problem.  Comprehensive exploration capability of Particle Swarm Optimization (PSO) and   good local search ability of Frog Leaping Algorithm (FLA) has been hybridized to solve the reactive power problem and it overcomes the shortcomings of premature convergence. In order to evaluate the validity of the proposed Improved Frog Leaping (IFL) algorithm, it has been tested in Standard IEEE 57,118 bus systems and compared to other standard algorithms. Simulation results show that proposed Improved Frog Leaping (IFL) algorithm has reduced the real power loss considerably and voltage profiles are within the limits.

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