Load Transfer Device for Solving a Three-Phase Unbalance Problem Under a Low-Voltage Distribution Network
Abstract
:1. Introduction
- Unbalanced voltage, causing the customer’s electrical equipment to not work properly or damage.
- Zero-sequence magnetic flux is generated in transformer core, causing the temperature rise of local metal, which may lead to a transformer burnout accident.
2. Design of Algorithms
2.1. Establishment of Control Equation
2.1.1. Definition 1: The Lowest Three-Phase Unbalance
2.1.2. Definition 2: Minimum the Times of Switch Actions
2.2. Design of IMPGA
- Gene coding: Use the switch state vector K as the initial gene.
- Generate initial population: Five initial sub-populations were set and 100 individuals were randomly generated in each sub-population.
- Fitness assessment: Calculate the fitness values of all individuals.
- Genetic process: Each population screen excellent individuals through roulette wheel selection algorithm, and carries out genetic operation according to different crossover and mutation probabilities. The r1, r2 are random numbers from 0 to 1, and crossover probability PC and mutation probability Pm of each group are calculated as follows:
- High-quality inheritance: Each sub-population picks out the best individual to save to the next evolutionary process, it avoided the loss of optimal individuals. Then, the best individual in the population was selected, and gene crossover operations were carried out with five individuals in each sub-population during the next evolutionary process, so that all sub-populations could have the opportunity to communicate with the best individuals.
- Convergence judgment: When the optimal individual does not change in the continuous 20 times of evolution, it is judged that the results converge and the optimal solution is obtained.
2.3. Comparison of Simulation Effects of GA, MPGA, IMPGA
2.4. Simulation Result
3. Three-Phase Unbalanced Treatment Plan
4. Design of the User Controller and Central Controller
4.1. Implementation Plan of User Controller
- Online function, that is, to achieve the load transfer without affecting the users’ power consumption.
- Lower impact; will not make the power quality worse.
- Real-time adjustability, when the three-phase unbalance condition is reached, the load transfer action can be performed in time to make the three-phase unbalance rate meet the specified requirements.
- Low cost; can achieve a low price and high efficiency as much as possible.
4.2. Phase-Swapping Switch with Automatic Adjustment of the Action Point
4.2.1. Calculation of the Best Action Time
4.2.2. Automatic Correction Design of Action Time
4.2.3. Software Design of Phase-Locked Function
4.3. Implementation Plan of Central Controller
4.4. Design and Implementation of a Wireless Communication System
5. Establishment of Intelligent Monitoring Platform
5.1. Introduction to MQTT Protocol
5.2. Design and Implementation of Monitoring Platform
6. Experimental Result
7. Conclusions
Author Contributions
Funding
Conflicts of Interest
Nomenclatures
Abbreviations | |
LV | Low-voltage |
4G | 4th generation mobile telecommunications |
LoRa | Long Range |
IMPGA | Improved multi-population genetic algorithm |
PSO | Particle swarm optimization |
STS | Static Transfer Switches |
SD | Standard |
GA | Genetic algorithm |
MPGA | Multi-population genetic algorithm |
MCU | Microcontroller unit |
MQTT | Message Queuing Telemetry Transport |
ADC | Analog-to-digital converter |
OP | Optimal state of connection phase |
NPP | Number of user controllers performing phase swapping |
Parameters | |
Ii | User loads for installed user controllers (i = 1,2,...,n) |
I | Vectors of user loads for all installed user controllers |
k | User phase connection for installed user controller |
K | User phase connection vector for all installed user controllers |
ts | User phase connection column vector for installed user controller |
T | User phase connection matrix for all installed user controllers |
IA, IB, IC | The three-phase current of the user controller |
IMA, IMB, IMC | The current on the three-phase busbar |
IGA, IGB, IGC | The total three-phase current of the user who has not installed the controller |
Imax, Imin | Maximum and minimum currents of three-phase busbar |
B(K) | Three-phase unbalance rate |
ε1 | Minimum unbalance rate coefficient |
m | Transformation factor |
M(K) | The times of phase swapping switch actions |
ε2 | Minimum number of actions coefficient |
r1, r2 | Random numbers from 0 to 1 |
Pc | Cross probability coefficient |
Pm | Mutation probability coefficient |
t | Time interval between voltage zero-crossing point and current zero-crossing point |
T1 | The time that issue load transfer instructions |
T2, T3 | The time that zero-crossing |
T4 | The time that control the relay turn-off |
T5 | The time that relay break |
T6 | The time that control the relay turn-on |
T7 | The time that relay close |
Tdc | The delay time to turn-off the relay |
Tc | Duration of relay breaking action |
Tdo | The delay time to turn-on the relay |
To | Duration of relay closing action |
Ta | The time interval between relay turn-off and turn-on |
n | Numbers of connected user controllers |
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Type | Author(s) | Methods | Effectiveness Analysis |
---|---|---|---|
Research on phase switching strategy algorithm | M.W. Siti et al. [14] | Fuzzy logic operation with minimizing power loss as objective function | Too many switching actions and has a large amount of calculation. |
Farhad Shahnia et al. [16] | Genetic algorithm with voltage imbalance and penalty factor as objective function | Convergence is faster, but it is easy to premature, and too many switching actions | |
Belal Mohamadi Kalesar et al. [17] | Particle swarm optimization with minimizing power loss as objective function | Easy to premature, and too many switching actions | |
Mukwanga W et al. [18] | A heuristic method with minimizing power loss as objective function | Historical data is required for training, and the problem of frequent switching is not considered. | |
A. Pasdar et al. [19] | Ant colony algorithm with minimizing unbalanced current as objective function | Convergence is slow, easy to premature, and the problem of frequent switching is not considered. | |
Research on phase-swapping switch | Mukwanga W et al. [18] | STS | Higher precision and better reliability |
A. Pasdar et al. [19] | Relay | Low cost |
Algorithm Type | Population Size | Number of Population | Crossover Probability | Mutation Probability | Maximum Number of Evolutions |
---|---|---|---|---|---|
GA | 100 | 1 | 0.2 | 0.2 | 200 |
MPGA | 100 | 5 | 0.2 | 0.2 | 200 |
IMPGA | 100 | 5 | 0.2 + 0.4 × r1 | 0.15 + 0.1 × r2 | 200 |
Consumer Number | 1st Data Set | 2nd Data Set | 3rd Data Set | ||||||
---|---|---|---|---|---|---|---|---|---|
IL(A) | Initial Phase | After IMPGA | IL(A) | Initial Phase | After IMPGA | IL(A) | Initial Phase | After IMPGA | |
1 | 8 | A | A | 8 | A | A | 27 | A | A |
2 | 4 | A | A | 27 | A | A | 26 | A | A |
3 | 3 | A | A | 15 | A | A | 16 | A | A |
4 | 21 | A | A | 27 | A | A | 22 | A | A |
5 | 11 | A | A | 25 | A | C | 29 | A | C |
6 | 8 | A | A | 2 | A | A | 17 | A | A |
7 | 14 | A | A | 29 | A | A | 26 | A | B |
8 | 14 | A | A | 20 | A | A | 26 | A | A |
9 | 10 | B | B | 5 | A | A | 4 | A | A |
10 | 10 | B | B | 20 | B | B | 25 | B | B |
11 | 24 | B | B | 14 | B | B | 13 | B | B |
12 | 15 | B | B | 25 | B | B | 10 | B | B |
13 | 29 | B | A | 27 | B | B | 19 | B | B |
14 | 9 | B | B | 9 | B | B | 3 | B | B |
15 | 20 | C | C | 23 | B | B | 5 | B | B |
16 | 29 | C | C | 28 | C | C | 14 | C | C |
17 | 18 | C | C | 20 | C | C | 21 | C | C |
18 | 3 | C | C | 3 | C | C | 27 | C | C |
19 | 21 | C | C | 1 | C | C | 4 | C | C |
20 | 29 | C | C | 25 | C | C | 19 | C | C |
Results | Initial State | After IMPGA | Initial State | After IMPGA | Initial State | After IMPGA |
---|---|---|---|---|---|---|
IMA | 211 | 240 | 271 | 246 | 321 | 266 |
IMB | 278 | 249 | 268 | 268 | 211 | 237 |
IMC | 224 | 224 | 212 | 237 | 208 | 237 |
B(K) | 24.1% | 10.4% | 21.7% | 11.6% | 35.2% | 10.9% |
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Bao, G.; Ke, S. Load Transfer Device for Solving a Three-Phase Unbalance Problem Under a Low-Voltage Distribution Network. Energies 2019, 12, 2842. https://doi.org/10.3390/en12152842
Bao G, Ke S. Load Transfer Device for Solving a Three-Phase Unbalance Problem Under a Low-Voltage Distribution Network. Energies. 2019; 12(15):2842. https://doi.org/10.3390/en12152842
Chicago/Turabian StyleBao, Guanghai, and Sikai Ke. 2019. "Load Transfer Device for Solving a Three-Phase Unbalance Problem Under a Low-Voltage Distribution Network" Energies 12, no. 15: 2842. https://doi.org/10.3390/en12152842
APA StyleBao, G., & Ke, S. (2019). Load Transfer Device for Solving a Three-Phase Unbalance Problem Under a Low-Voltage Distribution Network. Energies, 12(15), 2842. https://doi.org/10.3390/en12152842