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Mesh Analysis01:20

Mesh Analysis

502
Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
502
Mesh Analysis for AC Circuits01:12

Mesh Analysis for AC Circuits

319
In the domain of radio communication, the significance of impedance matching must be considered. It is crucial to ensure the efficient transmission of signals between radio transmitters and receivers. Achieving this balance involves using impedance-matching circuits, with one fundamental configuration comprising a resistor, capacitor, and inductor.
The process of harmonizing these impedances begins with a clear understanding of the input and output signals. Once these signals are known, the...
319
Network Function of a Circuit01:25

Network Function of a Circuit

251
Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
251
Mesh Analysis with Current Sources01:10

Mesh Analysis with Current Sources

1.2K
Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law...
1.2K
Maximum Power Transfer01:16

Maximum Power Transfer

196
Numerous practical applications within engineering disciplines, such as telecommunications, necessitate optimizing power delivery to a connected load. This pursuit, however, entails inherent internal losses, which can either equal or exceed the power supplied to the load. The Thevenin equivalent circuit is helpful in finding the maximum power a linear circuit can deliver to a load. It is assumed in this context that the load resistance can be adjusted.
By substituting the entire circuit with...
196
Circuit Terminology01:14

Circuit Terminology

571
An electrical network is a system composed of interconnected elements, such as resistors, capacitors, inductors, and voltage or current sources. Unlike a circuit, an electrical network does not necessarily form a closed path. In other words, while all circuits can be considered networks due to their interconnected nature, not every network qualifies as a circuit.
A circuit, on the other hand, is also an interconnected system of electrical elements but must contain one or more closed paths.
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Related Experiment Video

Updated: May 21, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

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Performance Evaluation of a Mesh-Topology LoRa Network.

Thomas Gerhardus Durand1, Marthinus Johannes Booysen1,2

  • 1Department of Electrical and Electronic Engineering, Stellenbosch University, Stellenbosch 7600, South Africa.

Sensors (Basel, Switzerland)
|March 17, 2025
PubMed
Summary

Introducing LoRaMesh, a novel mesh network for Long-Range Wide-Area Networks (LoRaWANs), significantly improves data delivery for distant IoT devices. This advancement enhances coverage and reliability in LPWAN applications.

Keywords:
IoTLPWANLoRaLoRaWANmeshmulti-hopnetworkns-3sensor networks

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Area of Science:

  • Networking
  • Wireless Communication
  • Internet of Things (IoT)

Background:

  • Low-Power Wide-Area Networks (LPWANs) are crucial for IoT, with Long-Range Wide-Area Networks (LoRaWANs) gaining traction due to their robust physical layer (LoRa).
  • Current LoRaWAN protocols are limited to single-hop communication, restricting gateway coverage and increasing power consumption for remote devices.
  • The absence of standardized multi-hop LoRa-based networks presents a research opportunity to extend LPWAN capabilities.

Purpose of the Study:

  • To propose and evaluate a complementary mesh networking solution for LoRaWAN, named LoRaMesh.
  • To investigate design choices for a LoRa-based mesh network that preserves low-power characteristics while ensuring reliable data routing.
  • To assess the impact of mesh networking on packet delivery ratios for devices at the edge of network coverage.

Main Methods:

  • Development of an ns-3 simulation model for the proposed LoRaMesh network.
  • Simulation of LoRaMesh under various network scenarios with differing densities and device distributions.
  • Analysis of packet delivery ratios, particularly for nodes located far from the central gateway.

Main Results:

  • LoRaMesh demonstrated a significant increase in packet delivery ratio for nodes distant from the gateway in dense network configurations.
  • For nodes beyond 5.8 km, the average packet delivery ratio improved from 40.2% to 73.78%.
  • The simulations validated the feasibility of a mesh-type LPWAN utilizing the LoRa physical layer.

Conclusions:

  • The proposed LoRaMesh network effectively extends the reach and reliability of LoRaWAN by integrating mesh capabilities.
  • This mesh approach maintains the low-power advantages of LPWANs while overcoming single-hop limitations.
  • The findings support the potential for future research and optimization of mesh-based LPWANs using the LoRa physical layer.