When power factor correction devices are connected to the system, they set up a

parallel resonance circuit between their capacitors and the system network inductance.

There is the added issue of meeting international harmonic control requirements such as IEEE-519 which limits "the maximum frequency voltage harmonic to 3% of the fundamental and the voltage total harmonic distortion (THD) to 5% for systems with a major

parallel resonance at one of the injected frequencies." Some form of filtering is subsequently recommended.

The series resonance ([f.sub.s]) appears at 1620 and 1647 MHz, while the

parallel resonance ([f.sub.p]) is apparent at 1611 and at 1629 MHz.

Based on the equivalent circuit model, a

parallel resonance can also be produced by Cp and Ls, where the capacitor can be seen to be open-circuited.

A stopband DMS with its

parallel resonance equivalent circuit is reported in [17].

Besides, EPC only represents the first

parallel resonance between inductor and the parasitic capacitance.

Hence, we present four topologies that are composite right/left-handed transmission line (CRLH TL) [21], dual-CRLH TL (D-CRLH TL) [22], series resonance and

parallel resonance topology.

Consequently, transmission line [L.sub.1] and [L.sub.2] compensate the parasitic elements of PIN by resultant

parallel resonance at on-state and series resonance at off-state in both of the structure.

When building the power delivery impedance profile from a combination of capacitors, an important feature is the

parallel resonance, which develops between two real capacitors connected in parallel.

C3 provides an AC ground to assure the

parallel resonance will not be affected by other parasitic like bond-wires, test board microstrip line effects and supply noises.

The properly tuned PC is in

parallel resonance with the grid-to-ground network capacity at fundamental power supply frequency.

For lossless unit cell equivalent circuit model, L-C parameters of series and parallel branches are extracted from the series and

parallel resonance frequencies, respectively.