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Equivalent Circuits for Practical Transformers

Equivalent Circuits for Practical Transformers

The practical equivalent circuits of single-phase two-winding transformers exhibit significant deviations from their idealized versions due to the inherent properties of winding resistance and finite core permeability. These properties result in real and reactive power losses, affecting the transformer's performance. Understanding these deviations is crucial for designing more efficient transformers.
In a practical transformer, each winding exhibits resistance and leakage reactance. The winding...

Transmission Line Design Considerations

Transmission Line Design Considerations

Aluminum has become the material of choice for overhead transmission lines, surpassing copper due to its abundance and cost-effectiveness. The most prevalent type is the aluminum conductor, steel-reinforced (ACSR), which combines aluminum strands around a steel core. Other variants include all-aluminum conductors (AAC), all-aluminum alloy conductors (AAAC), aluminum conductor alloy-reinforced (ACAR), and aluminum-clad steel conductors. Advanced designs, such as aluminum conductors with steel...

Three-Winding Transformers

Three-Winding Transformers

Three identical single-phase transformers can be configured to form a three-phase transformer connection, which involves high-voltage and low-voltage windings. The high-voltage windings are denoted by capital letters A-B-C, while the low-voltage windings are labeled with lowercase letters a-b-c, representing their respective phases. This notation helps distinguish between the high and low voltage sides of the transformer.
In the per-unit equivalent circuit of a grounded Y-Y three-phase...

Full wave rectifier

Full wave rectifier

A full-wave rectifier is a device that converts alternating current (AC) to direct current (DC) and is more efficient than its half-wave counterpart. It typically includes a center-tapped transformer, two diodes, and a load resistor. The secondary winding of the transformer is divided to provide two equal voltages of opposite polarities, which is the pivotal element of full-wave rectification.

Energy Losses in Transformers

Energy Losses in Transformers

In an ideal transformer, it is assumed that there are no energy losses, and, hence, all the power at the primary winding is transferred to the secondary winding. However, in reality, the transformers always have some energy losses, and, hence, the output power obtained at the secondary winding is less than the input power at the primary winding due to energy losses.
There are four main reasons for energy losses in transformers.
The first cause can be the high resistance of the copper windings...

Half wave rectifier

Half wave rectifier

A half-wave rectifier is a fundamental circuit in electronics, designed to convert alternating current (AC) voltage into a unidirectional voltage. It utilizes the simplest form of diode rectification, where the circuit comprises a single diode in series with a load resistor and an AC power source.

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Updated: Jun 21, 2026

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor

Published on: August 30, 2012

Single-trench waveguide TE-TM mode converter.

Sang-Hun Kim¹, Ryohei Takei, Yuya Shoji

¹Department of Electrical and Electronic Engineering, Tokyo Institute of Technology, 2-12-1-S3-11 Ookayama, Meguro-ku, Tokyo 152-8552, Japan.

|July 8, 2009

Summary

This summary is machine-generated.

This study introduces a simplified single-trench waveguide for efficient TE-TM mode conversion. Fabricated devices achieved 95% conversion efficiency, demonstrating a practical approach for optical communication components.

Related Experiment Videos

Last Updated: Jun 21, 2026

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor

Published on: August 30, 2012

Area of Science:

Photonics and Optical Engineering
Semiconductor Device Fabrication
Integrated Optics

Background:

Mode converters are crucial for manipulating light polarization in optical systems.
Existing fabrication methods for mode converters can be complex and costly.
GaInAsP/InP material systems are widely used in optoelectronics.

Purpose of the Study:

To propose and demonstrate a simplified TE-TM mode converter using a single-trench waveguide structure.
To investigate the impact of design parameters on conversion efficiency.
To validate the performance of the fabricated device through experimental measurements.

Main Methods:

Design and simulation of a single-trench GaInAsP/InP waveguide.
Fabrication using a single masking and etching process.
Experimental characterization of mode conversion efficiency and wavelength dependence.

Main Results:

Achieved 95% TE-TM mode conversion efficiency at 1.55 microm wavelength.
Demonstrated a 210-microm half-beat length for the fabricated device.
Investigated and reported the dependence of conversion efficiency on waveguide width, trench depth, and position.

Conclusions:

The single-trench structure offers a simpler and potentially more cost-effective fabrication process for TE-TM mode converters.
The demonstrated device performance meets the requirements for practical applications in optical communications.
Further optimization of design parameters can potentially enhance conversion efficiency.