A C-type harmonic filter can be used to reduce the network impedance at the critical harmonic frequency. This is important because resonant TOVs become severe when harmonic current meets high network impedance. By lowering the impedance at the critical frequency, the filter reduces the harmonic voltage.
The filter changes the harmonic impedance of the network. At the tuning frequency, the impedance is reduced. This weakens the resonance and reduces the TOV.
C-type filters are suitable for low-order harmonics, especially the 2nd and 3rd harmonics, because they can provide damping at harmonic frequencies while keeping low losses at power frequency. The reason is that the C2 and L2 branch is tuned to the fundamental frequency. This branch bypasses the damping resistor at power frequency, so the resistor does not dissipate significant power during normal operation.
A C-type filter includes:
- main capacitor C1
- capacitor C2
- reactor L2
- damping resistor Rd
The filter parameters define: reactive power rating, tuning frequency, damping performance, and harmonic impedance characteristic.
A properly designed C-type filter can:
- reduce the resonance peak
- reduce TOV magnitude
- reduce TOV duration
- reduce stress on equipment
However, the result depends strongly on the filter parameters. The tuning frequency, MVAr rating, and damping resistance must be selected carefully using detailed EMT analysis.
Filter resistor losses. During harmonic TOV conditions, the filter can carry significant harmonic current. This can cause high energy dissipation in the damping resistor. The resistor must therefore be designed for the expected thermal stress during TOV conditions, not only for normal steady-state harmonic losses.
Surge arrester energy. If surge arresters are used inside the filter arrangement, their energy duty must be checked. These arresters may be installed to protect filter components, for example across the reactor or the C2 branch, against transient overvoltages. During TOV conditions, the arrester may absorb high energy. This energy may exceed the arrester capability if it is not properly selected. EMT simulations are needed to calculate harmonic currents, resistor energy, arrester energy, and voltage stress on filter components.
Filter footprint. A C-type filter requires physical space in the substation. It includes capacitors, reactors, and resistors. At high voltage levels, the reactor size can become a major design constraint. Lower tuning frequencies usually require higher inductance, which can increase the physical size of the reactor.
Reactive power compensation. Under normal operation, the C-type filter behaves like a capacitor bank. This means it injects reactive power into the system. This reactive power may need to be compensated, for example by using shunt reactors.
Main outcome
C-type filters can be effective for both energisation and fault-clearing conditions because they directly modify the network harmonic impedance. However, they require careful design, substation space, reactive power consideration, and detailed EMT verification.