Energy conservation has become a long-term strategic policy for Chinese economic and social development, and power conservation is an integral part of the national energy conservation strategy. At present, the energysaving technology of enterprise distribution networks has the following shortcomings: 1) The entire distribution network lacks overall planning and management methods, and the energy management level is not high. At present, the distribution network has not formed an ‘all-round and multifaceted’ comprehensive energy saving and consumption reduction strategy. 2) The enterprise distribution network is only partially optimised and managed, which has significant limitations. 3) The energy-saving equipment of the enterprise power distribution network is still in a single operation. This has formed a situation of ‘isolated islands’, resulting in scattered information and low integration [1]. Such a situation is not convenient for high-level management and control. 4) The energy-saving equipment of a single independent node influences other nodes. Once the local regulation is excessive or insufficient, it causes the fault of the adjacent line to form a ‘critical area’. 5) A single energysaving device only has only a particular aspect of the energy-saving function, which cannot meet the needs of society for energy saving in all aspects. In addition, the independent control of energy-saving equipment quickly leads to too frequent equipment adjustments. The service life of power distribution equipment is shortened, and maintenance costs increase.
An agent is an entity that can perceive, solve problems and communicate with the outside world. A multiagent system (MAS) is a network structure composed of multiple loosely coupled, coarse-grained, perceptual, problem-solving agents that are able to communicate with other agents in the system. While taking into account the advantages of a single-agent system, MAS accomplishes complex control tasks or solves complex problems through negotiation, coordination and collaboration.
A genetic algorithm (GA) is an adaptive global optimisation algorithm formed by simulating living beings’ genetic and evolution processes in the natural environment. This paper combines the GA and the MAS technology to construct a multi-agent genetic optimisation algorithm, namely the GA-MAS. The algorithm uses the agent’s local perception, competition, cooperation and self-learning characteristics to achieve biological adaptation to the environment. Because all operations act instead of the entire population, the diversity of the population is maintained [2]. This suppresses the premature phenomenon of GAs to a certain extent.
Because of the above-mentioned shortcomings of the existing technology and its existing defects, we combined the GA and the MAS technology to propose a comprehensive management system for energy-saving and consumption-reducing distribution networks based on a multi-agent genetic optimisation algorithm, i.e. the GA-MAS. The article gives the basic structural model of the management system and the energy-saving equipment multi-agent structural model. The article uses the GA-MAS algorithm to get the best adjustment intensity of energy-saving equipment. This enables the energy-saving equipment to obtain the maximum energy-saving benefit with the minimum adjustment cost. The simulation of specific examples and practical engineering applications show that the management system proposed in this paper can reduce the total active power loss and the total number of capacitor input groups [3]. At the same time, this also shows that the GA-MAS algorithm has good computational efficiency and convergence stability.
In actual engineering applications, reactive power compensation devices inevitably produce active power loss and operation and maintenance costs. In addition, when the reactive power resources of the distribution network are insufficient, we need to add reactive power compensation equipment, which generates additional investment [4]. Therefore, the system needs to comprehensively consider the minimum total investment of the reactive power compensation device while pursuing the minimum active power loss to establish the objective function:
Objective function
Equality constraints
Inequality constraints
The multi-agent optimisation GA is an algorithm that combines the main features of the GA and MAS. We first construct the living environment of the Agent. Each Agent interacts with its neighbourhood [7]. Combined with the evolution mechanism of the GA, experiments enable it to converge to the optimal global solution quickly and accurately. We equate any agent α to a body in the GA. Its fitness value is as follows:
The purpose of Agent α is to reduce its fitness value as much as possible while meeting the constraints of the operating conditions. All agents are put into a living environment, i.e. an
The flowchart of the GA-MAS algorithm is shown in Figure 2.
Each Agent searches for the optimal solution according to its local environment and its neighbours. In the local environment of any agent, if the individual is better than other surrounding individuals, then the individual is the Paleto optimal solution in its neighbourhood [9]. Since selecting the best is performed in the local environment of each individual, it ensures the diversity of the group.
We assume that the two parents involved in mating are
If the distance between the two points of the Agent corresponds to the distance of the objective function, let one of the agents die. Then a new agent is randomly generated in the domain to replace it. If an agent’s performance is worse than other agents in its neighbourhood, one will be randomly selected from the solution after Pareto’s selection.
According to the multi-agent hierarchical distributed system theory, the structural diagram of the integrated management system for energy saving and consumption reduction of a distribution network based on a multiagent setup is shown in Figure 3. The system includes two levels of multi-agents and management layers on the high-pressure side and low-pressure side.
The interaction and coordination of each Agent on the high-/low-voltage side are completed by the task coordination agent, and the task coordination agents can communicate with each other. Each Agent is connected to the management layer through the task decomposition agent, enabling different agents to connect to the corresponding management layer systems [10]. The various systems of the management layer are connected through the communication and interaction between the agents to realise the interconnection, interoperability and mutual coordination of the operating platform. The data of each system of the management layer can be accessed through Transmission Control Protocol/Internet Protocol (TCP/IP) protocol to achieve the purpose of data sharing and exchange. As a result, the various systems in the management layer connect the high-pressure-side multi-agents and the low-pressure-side multi-agents to realise the interaction and collaboration of the high- and low-pressure-side agents. This further realises multi-level energy saving and consumption reduction.
To verify the correctness and feasibility of the above algorithm, we use Pascal language to compile a programme in the Delphi environment to calculate and analyse the Institute of Electrical and Electronics Engineers (IEEE) 14-node system. In the IEEE 14-node system selected in this paper, we assume 14 nodes, six generators, four transformers and six energy-saving devices [11]. The transformer is regarded as an on-load tap-changing transformer, and the adjustment range of the transformer ratio is 1 ± 1.25% × 8. The gears are divided into 0–16 and 17 gears. We limit the primary adjustment gear position of the transformer to ±2 gears, and the conversion relationship between the gear position and the actual transformation ratio is
Tables 1 and 2 show the comparison results of energy saving and consumption reduction in distribution networks based on the GA-MAS optimisation algorithm and the particle swarm optimisation (PSO) algorithm. We use optimisation algorithms to solve the number of high- and low-voltage energy-saving equipment investment sets [12]. We find that the total active power loss is the smallest while satisfying the node voltage constraints. Such a control scheme is reasonable and achieves the optimal operation effect of the energy-saving equipment. In terms of node voltage control, generator active power output and voltage maximum and minimum distortion rate, the GA-MAS-based distribution network energy-saving and consumption-reducing system proposed in this paper has shown excellent results. Compared with the PSO algorithm, the GA-MAS optimisation algorithm reduces the total active power loss to 0.135 pu, while the PSO algorithm shows values as high as 0.138 pu. At the same time, the total investment in energy-saving equipment was reduced by two sets.
Comparison results of different optimisation algorithms
Compare items | PSO | GA-MAS |
---|---|---|
Maximum generator active power, pu | 1.998 | 1.972 |
Minimum generator active power, pu | 0.462 | 0.458 |
Maximum generator reactive power, pu | 0.245 | 0.102 |
Minimum generator reactive power, pu | 0.031 | 0.025 |
Maximum voltage distortion rate THDu, % | 4.02 | 3.63 |
Minimum voltage distortion rate THDu, % | 2.97 | 2.89 |
Maximum node voltage, pu | 1.085 | 1.05 |
Minimum node voltage, pu | 0.989 | 0.952 |
GA-MAS, genetic algorithm multi-agent system; PSO, particle swarm optimisation; pu, xxx; THDu, yyy.
Comparison of active power loss of different optimisation algorithms
Optimisation | Total active power loss, pu | Number of energy-saving equipment invested |
---|---|---|
0.138 | 5 | |
0.135 | 3 |
GA-MAS, genetic algorithm multi-agent system; PSO, particle swarm optimisation; pu, xxx.
Figure 4 shows the GA-MAS and PSO iterative curves. It can be seen from the figure that the convergence accuracy and speed of the GA-MAS algorithm are better than those of the PSO algorithm. In terms of algorithm calculation speed, the time optimised by GA-MAS and PSO is 16.3 s and 34.5 s, respectively. It can be seen that the calculation speed and convergence of GA-MAS are better than those of the PSO algorithm.
An enterprise’s power distribution network has one 110 kV substation, one self-provided thermal power plant and two 10 kV distribution substations. Among them are two sets of 25,000 kVA capacity 110 ± 8 × 1.25% on-load tapping transformers and two 110 kV lines. The distribution network was introduced from different substations to supply power to the plant. There were four on-load tapping transformers with a capacity of 6,300 kVA of 10 ± 8 × 1.25%, 143 circuits of 10 kV feeders, 256 circuits of 6 kV feeders and two generators sets of 6300 kVA. The system is connected to 16 sets of various types of high- and low-voltage energy-saving equipment. The energy-saving and consumption-reducing management system of distribution networks based on the GA-MAS proposed in this paper has been successfully applied to the enterprise distribution network. The energy-saving and consumption-reducing benefits produced by the system are as follows:
Reduction in the number of actions of the tap switch of the on-load tapping transformer: The transformer taps are reduced from 3.87 times per week before the system mentioned in this article is put into operation to 2.08 times per week per unit currently. The number of actions has been reduced by 46%. The investment in the system increases the service life of the equipment and reduces the labour intensity of maintenance.
Improvement in voltage quality: Figure 5 shows the voltage curve at the hour of the 110 kV node. It can be seen that the voltage of each node is significantly improved after using the integrated energy-saving and consumption-reducing system of the distribution network proposed in this paper. According to statistics, the qualification rate of busbar voltages >6 kV in the regional power grid within 3 months after the system was connected to operation was 99.96%.
This paper proposes an integrated management system for energy saving and consumption reduction in distribution networks based on a multi-agent genetic optimisation algorithm. The system uses the GA-MAS algorithm to obtain the best adjustment strength of each energy-saving equipment by comprehensively considering the factors that cause power loss in the distribution network. This enables the energy-saving equipment to obtain the maximum energy-saving benefit with the minimum adjustment cost. The GA-MAS algorithm constructs a MAS environment. Each Agent is equivalent to an individual in the GA. They interact with their domain in this environment. Combined with the evolution mechanism system of the GA, it can quickly and accurately converge to the optimal global solution. A specific calculation example shows that the management system proposed in this paper can reduce the total active power loss and the total number of capacitor input groups. At the same time, it shows that the GA-MAS algorithm has good calculation efficiency and convergence stability. The integrated management system for energy-saving and consumption reduction of distribution networks based on the GA-MAS algorithm proposed in this paper is of great significance to realising comprehensive energy-saving and consumption reduction of the distribution network in a comprehensive and multi-faceted manner.