Application of Electric Network Theory in Practice
1. Application of knowledge points in electrical network theory
1.1 Node voltage method and loop current method
Node voltage method and loop current method are often used in the design and analysis of electronic circuits. In the design of digital integrated circuits, the node voltage method can be used to analyze the voltage relationship between each transistor and determine the best transistor combination scheme. In large electronic systems such as satellite and radar systems, the loop current method can be used to analyze the stability and reliability of large and complex circuits, helping to ensure the normal operation of the entire system.
1.2 Branch tearing method
The branch tearing method is an electrical network analysis method used to analyze the coupling relationship between branches in a circuit. This method can separate and analyze the coupling relationship between branches while maintaining the overall characteristics of the circuit. The branch tearing method is often used to analyze the interaction between different parts in the circuit. For example, in the power system, the branch tearing method can be used to analyze the power transmission relationship between different components. In addition, the branch tearing method is also commonly used in the process of circuit fault diagnosis and maintenance, which can quickly determine the location and cause of circuit faults.
1.3 Branch sorting method
The branch sorting method is an electrical network analysis method for circuit analysis and design. This method can arrange the branches in the circuit according to certain rules, and then calculate the weight value of each part in the circuit according to certain criteria, so as to realize the optimal design of the circuit.
In practical applications, the branch sorting method can help engineers optimize circuit layout and wiring, and improve circuit efficiency and reliability.
1.4 Network tearing method
In the network tearing method, different circuits are split, and then their branches and nodes are merged and reconstructed to form a new network topology.
Treat the circuit as a combination of a node matrix and an edge matrix, and solve analytically the relationship between node voltages and edge currents. Discover the mutual influence and correlation between different circuits, and then help us better understand and design circuits.
1.5 Applications of Passive Multiport Networks
A passive multiport network is a circuit or network that has no active components (such as amplifiers or generators) and contains only passive components (such as resistors, capacitors, inductors, etc.). Although the application of active components is more common in practice, passive multiport networks still have application value in some specific cases:
1. Transmission line and waveguide systems: Passive multiport networks are often used to characterize transmission lines and waveguides . Cables and wires in these systems can be modeled as passive multiport networks to analyze the transmission and reflection properties of signals. By measuring and analyzing network parameters, the attenuation, delay and amplitude distortion of signal transmission can be determined.
2. High-frequency circuit design: In high-frequency circuit design, passive multi-port networks are often used to describe components such as antennas, filters, and matching networks. By modeling these components as passive multiport networks, their transmission and reflection characteristics can be analyzed to optimize the frequency response and matching performance of the circuit.
3. Wireless communication systems: In wireless communication systems, passive multiport networks are used to describe the coupling and interconnection between antennas. By using passive multiport network theory, the transmission loss, interference and reflection characteristics between antennas can be analyzed to optimize the performance and coverage of the system.
4. Power transmission and distribution systems: Passive multiport networks can be used to characterize transmission in power transmission lines and power distribution systems. By modeling these lines and systems, the distribution and transmission efficiency of parameters such as current, voltage, and power can be analyzed to optimize the operation and energy efficiency of the power system.
Although passive multiport networks have relatively few practical applications, they still play an important role in specific fields such as transmission lines, antenna design, and power system analysis. They provide a theoretical framework for the behavior of circuits and networks and aid engineers in system design, optimization, and troubleshooting.
Passive Multiport Networks is an electrical network analysis method used to describe multiport networks powered by multiple sources. In practical applications, passive multi-port networks are widely used in electronic circuit design and analysis. Passive multiport networks can be used to analyze the port characteristics of circuits and the topological relationship of circuit structures.
2. Application in industry
1. In the control system, the state equation of the linear non-normal network is usually used to describe the influence of the output of the controller on the controlled object. For example, for a control task of a robotic arm, the state equation can be used to describe the relationship between the position and velocity of the robotic arm, and based on this information to determine the optimal control strategy, such as trajectory tracking and control error compensation. By simulating and analyzing the state equation, the optimal control parameters and algorithms can be determined to improve the performance of the manipulator and reduce the risk of failure.
2. In the robot movement, the electric network theory can be used to analyze and plan the movement path of the robot. Among them, the current loop is an important part of the electrical network, which can describe the movement mode and kinematics characteristics of the robot. By using the electrical network theory, the motion process of the robot can be modeled and analyzed, and then the motion planning and execution efficiency of the robot can be optimized. At the same time, it can also be applied to the perception and decision-making process of robots.
3. In the visual and tactile perception of the robot, the electrical network can be used to process the data collected by the sensor, and analyze and process the data. In the decision-making of robots, electrical networks can help robots recognize obstacles and other objects in the environment and take corresponding courses of action. Therefore, electrical network theory plays an important role in the intelligent control and decision making of robots.
4. In industrial production, electrical networks can be used to monitor and diagnose the operating conditions of equipment. Collect and analyze equipment data in real-time operation status, so as to discover potential failure risks in time. By applying the electrical network theory, it is possible to quickly judge whether the equipment is in a normal working state, and take timely measures to prevent the occurrence of failures. It can also be used to predict the maintenance needs of equipment and discover the wear and tear of equipment components in advance, so as to avoid production stagnation and production loss caused by equipment failure
5. In industrial manufacturing, electrical network theory can be used to monitor and analyze the operating conditions of equipment. The electrical network can be monitored and analyzed in real time by simulating various types of failures that occur during the production process, such as machine failures, line failures, etc. This helps to quickly find and fix faults on the production line, improving production efficiency and product quality. It can also be used to predict the maintenance needs of equipment and discover the wear and tear of equipment components in advance, so as to avoid production stagnation and production loss caused by equipment failure.
3. Practical application in life
1. Through the load prediction in the power network theory, analyze and predict the historical record data, give an early warning of the possible power load, and carry out power system monitoring and fault detection to help power suppliers with load management and resource scheduling, Meet the power demand in different time periods and ensure the stable operation of the power grid. And through the state estimation method and line parameter identification technology in the electric network theory, the operating state of the power system can be monitored in real time, and the faults in the system can be quickly selected and located.
2. In terms of circuit design, electrical network theory can be used in circuit design and analysis, modeling and simulation of traditional electrical components such as resistors, capacitors and inductors, and can be used for circuit parameter calculation, filter optimization and signal processing. The advanced technology of voltage division, current distribution and triangular transformation can easily calculate the parameter value of each component. From the point of view of the power system, the theory of electric network can be used for the steady state and transient analysis of the power system.
3. Steady-state analysis, through the node analysis, power flow calculation and power balance methods in the power network theory, the voltage and power flow of each node in the power system can be determined.
4. Transient analysis, using the transient stability analysis method in the electrical network theory, can study short-circuit faults and other transient practices in the power system, and use it to evaluate the stability of the system. Including the calculation and control of current power, in the subsequent popularization of smart grids, the power network theory plays a vital role, and is used for energy management, power market transactions, and integration and management of distributed energy resources.
5. In terms of energy management, through the power calculation in the power network theory, the effective integration and management of distributed energy resources can be realized, and the scheduling and allocation of energy can be optimized. For example, charging infrastructure for electric vehicles. Using the load forecasting and optimization algorithm in the power network theory, determine the location and capacity matching of the charging station, and formulate a reasonable charging strategy by analyzing factors such as charging demand, power supply, and user behavior to ensure the efficient operation of the charging station and the power system. Stable supply. Through the configuration and control strategy of the energy storage system, the characteristics of the battery energy storage system are analyzed and modeled to realize the priority management of the energy storage system, thereby improving the stable supply of the power system.
6. For the control equipment in the smart grid, such as smart meters, smart switches, and smart sensors, etc., real-time monitoring of power consumption is carried out through the power network, and power information is transmitted to power suppliers. Through this information, power suppliers can accurately carry out Load forecasting and corresponding dispatching measures can realize the collection of power consumption information and optimal management of energy consumption. Various parameters in smart sensors, such as voltage, current, and frequency, can be used to process and analyze sensing data to improve the efficiency of the entire power system and enhance reliability.
7. Smart grid also includes the application of smart home and smart city. For the design and control of smart home system, by linking various devices and electrical appliances to the power network, using the knowledge in the power network theory, the load is controlled. Reasonable optimization.
In a smart city, multiple solar power generation systems are set up for a city, and the distributed energy management method in the power network theory is used to coordinate and manage these solar power generation systems. By monitoring the power generation and load demand of each solar system in real time, The optimization algorithm is used to realize the optimal dispatch of these distributed energy sources and ensure the reliability of the power supply quality of the system.
8. In addition, the design of micro-grid can also be carried out. Micro-grid is a small power system composed of multiple distributed energy resources (such as solar energy, wind energy, etc.) and loads. When building a micro-grid in a remote area, It is necessary to integrate solar energy and energy storage systems, and use their characteristics such as power balance to determine the optimal capacity of solar panels and energy storage systems, as well as the flow of voltage and power at each node in the microgrid to achieve optimal energy supply. Reliable and efficient.
9. Distributed energy resources management involves the integrated and coordinated management of distributed energy resources. Electric network theory can be used to analyze and optimize the access and operation strategies of distributed energy resources to maximize the utilization of clean energy and reduce the need for traditional energy resources. dependence on