An Overview of Harmonics in Electrical Systems

In modern electrical systems, Harmonics are becoming a more pressing issue. They could be the hidden culprits behind equipment overheating, increased power loss, or even system malfunctions. But what exactly are harmonics, where do they come from, and how can we deal with them? Let’s explore.
What Are Harmonics?
In a perfect world, the voltage and current waveforms in an electrical system would be perfect sine waves. But in reality, these waveforms are often distorted due to various electrical devices. This distortion can be broken down into a series of sine waves that are integer multiples of the fundamental frequency. These higher-frequency components are called harmonics.
Sources of Harmonics
The main sources of harmonics are non-Linear Loads:
- Linear loads (like resistors, inductors, and capacitors) draw current in a way that matches the voltage wave—keeping the waveforms clean.
- Non-linear loads (like variable speed drives, rectifiers, computers, and adapters) distort the current waveform, introducing harmonics into the system.
Effects Of Harmonics
Harmonics do more than just mess up waveforms. They can cause real, tangible problems:
- Equipment overheating, reducing lifespan.
- Malfunction of sensitive electronics.
- False tripping of protective devices.
- Lower power factor and higher utility bills.
Managing Harmonics
Some common solutions include:
- Selecting low-harmonic equipment.
- Installing harmonic filters (active or passive).
- Designing systems with appropriate transformer connections.
- Monitoring and regularly managing harmonic levels.
Estimating the Required Capacity for Active Power Filters (APF)
In practical applications, accurately sizing the capacity of an Active Power Filter (APF) is crucial for effective harmonic mitigation. According to best practices in the power quality industry, there are two common approaches used to estimate the necessary capacity for harmonic filtering:
(1) Centralized Compensation Method
This method is typically used for centralized harmonic treatment based on transformer capacity and industry classification. The harmonic current (Ih) can be calculated using the formula:
Ih = (S × K) / (√3 × U) × √(1 + THDi²) × THDi
Where:
- S: Transformer rated capacity
- U: Transformer secondary voltage
- THDi: Total Harmonic Distortion of current
- K: Transformer load factor
Typical harmonic distortion rates by industry:
| Industry Type | Typical Harmonic Rate (%) |
| Railways, Subways, Airports | 15% |
| Telecom, Commercial Buildings, Banks | 20% |
| Medical Sector | 25% |
| Automobile, Shipbuilding Industry | 30% |
| Chemical and Petrochemical Industry | 35% |
| Metallurgical Industry | 40% |
(2) Distributed Compensation Method
This approach is based on local loads and equipment characteristics. The harmonic current is calculated with:
Ih = K × IN × (THDi / √(1 + THDi²))
Where:
- IN: Rated current of the equipment
- THDi: Total Harmonic Distortion of current
- K: Transformer load factor
These formulas are valuable for designing efficient harmonic mitigation using APFs.










