Enhancing Power Quality with Enjoypowers: Determining the Right Size of Active Harmonic Filters

Introduction

Power quality is a critical aspect of modern electrical systems, and managing harmonic distortion is essential for ensuring reliable and efficient operations. Enjoypowers, a leading provider of power quality solutions, offers Active Harmonic Filters (AHF) designed to reduce Total Harmonic Distortion (THD) effectively. This article provides a detailed calculation process for configuring AHF modules in a power distribution system, ensuring optimal performance and compliance with international standards.

Understanding Harmonic Distortion and THD

Harmonic distortion occurs when non-linear loads, such as electronic devices and variable frequency drives, introduce harmonics into the power system. These harmonics can cause various issues, including overheating, equipment malfunction, and reduced efficiency. Total Harmonic Distortion (THD) is a measure of the harmonic distortion present in a system, expressed as a percentage of the fundamental frequency. Reducing THD is crucial for maintaining power quality and system reliability.

Calculation Process for Configuring AHF Modules

Parameters and Initial Setup

To accurately configure Enjoypowers AHF modules, we need to consider the following parameters:

• Transformer Capacity: 2000 kVA
• System Voltage: 400 V
• Total Current: 75% of rated current
• Current THDi: 35%
• Target THDi: 5%
• Redundancy Factor: 30%

Step-by-Step Calculation

1. Determine the Rated Current of the Transformer:The rated current Irated​ of the transformer is calculated using the formula:
   $${𝐼}_{\text{rated}}=\frac{\text{Transformer Capacity}}{\sqrt{3}\cdot \text{System Voltage}}$$

   Substituting the values:

   $${𝐼}_{\text{rated}}=\frac{2000\text{kVA}}{\sqrt{3}\cdot 400\text{V}}=\frac{2000\times 10^3}{\sqrt{3}\cdot 400}\approx 2886.75\text{A}$$

   Calculate the Actual Current:The actual current Iactual​ is 75% of the rated current:

   $${𝐼}_{\text{actual}}=0.75\cdot {𝐼}_{\text{rated}}=0.75\cdot 2886.75\approx 2165.06\text{A}$$
2. Calculate the Fundamental Current:The fundamental current 𝐼fundamental is given by:
   $${𝐼}_{\text{fundamental}}=\frac{{𝐼}_{\text{actual}}}{\sqrt{1+{\left(\frac{\text{THDi}}{100}\right)}^2}}$$

   Substituting the values:

   $${𝐼}_{\text{fundamental}}=\frac{2165.06}{\sqrt{1+{\left(\frac{35}{100}\right)}^2}}=\frac{2165.06}{\sqrt{1+0.1225}}=\frac{2165.06}{\sqrt{1.1225}}\approx 2046.82\text{A<span style="font-size: 16px; font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif;"></span>}$$
3. Calculate the Harmonic Current before Filtering:The harmonic current 𝐼ℎ​ before filtering is:
   $${𝐼}_{ℎ}={𝐼}_{\text{fundamental}}\cdot \frac{\text{THDi}}{100}$$
   $${𝐼}_{ℎ}=2046.82\text{A}\cdot \frac{35}{100}\approx 716.39\text{A}$$
4. Calculate the Target Harmonic Current:The target harmonic current𝐼ℎ,target​ is:
   $${𝐼}_{ℎ,\text{target}}={𝐼}_{\text{fundamental}}\cdot \frac{\text{Target THDi}}{100}$$
   $${𝐼}_{ℎ,\text{target}}=2046.82\text{A}\cdot \frac{5}{100}\approx 102.34\text{A}$$
5. Calculate the Required Harmonic Current to be Filtered:The required harmonic current
   
   $${𝐼}_{ℎ,\text{required}}={𝐼}_{ℎ}-{𝐼}_{ℎ,\text{target}}\approx 716.39\text{A}-102.34\approx 614.05\text{A}$$
6. Consider the Redundancy Factor:Including a 30% redundancy factor, the total required filtering capacity is:
   $${𝐼}_{ℎ,\text{total}}={𝐼}_{ℎ,\text{required}}\cdot (1+\frac{\text{Redundancy Factor}}{100})$$
   $${𝐼}_{ℎ,\text{total}}=614.05\text{A}\cdot 1.30\approx 798.26\text{A}$$
7. Determine the Number of AHF Modules:Assuming each AHF module has a capacity of 200A:
   $$\text{Number of Modules}=\frac{{𝐼}_{ℎ,\text{total}}}{\text{Capacity per AHF Module}}$$Number of Modules=Capacity per AHF ModuleIh,total​​

   $$\text{Number of Modules}=\frac{798.26\text{A}}{200\text{A}}\approx 3.99$$Number of Modules=200A798.26A​≈3.99

   Rounding up to the nearest whole number:

   $$\text{Number of Modules}=4$$

Conclusion

By following the detailed calculation process outlined above, we determined that 4 Enjoypowers 200A AHF modules are needed to achieve the desired reduction in THD, considering a 30% redundancy factor. This accurate calculation ensures the optimal configuration of AHF modules, enhancing power quality and system reliability.

The Value of Enjoypowers Power Quality Demonstration Cabinet

Enjoypowers’ Power Quality Demonstration Cabinet is a versatile tool designed to showcase the functionality and benefits of power quality solutions, including Active Harmonic Filters and Static Var Generators. This cabinet serves multiple purposes:

1. Educational Tool: It provides a practical and interactive way to teach the principles of power quality, helping users understand how AHFs and SVGs work to solve power quality issues such as harmonics, low power factor, and three-phase imbalance.
2. System Demonstration: It allows potential customers and partners to visualize the performance and effectiveness of Enjoypowers’ products, building confidence in their application.
3. Testing Platform: The demonstration cabinet can test and verify AHF and SVG modules under various load conditions, ensuring their reliability and performance before deployment in real-world applications.

Join Enjoypowers’ Global Cooperation Recruitment Program

Enjoypowers invites partners worldwide to join their Global Cooperation Recruitment Program. By partnering with Enjoypowers, you gain access to high-quality power quality solutions and comprehensive support, including technical training, marketing assistance, and exclusive market rights. Join us in enhancing power quality across the globe and driving sustainable energy solutions.

For more information on the Power Quality Demonstration Cabinet and the Global Cooperation Recruitment Program, visit:

• Power Quality Demonstration Cabinet
• Global Cooperation Recruitment Program