1. 1.3.5 Resonance of the RLC Circuit
RLC Series Resonant Circuit
capacitive reactance
inductive reactance
2. The changing
condition of current I with the
frequency of changing in RLC
series circuit
self‐resonant frequency
Series Resonance
is used to measure the performance of the resonant circuit
when considering the actual frequency characteristics of a capacitor, the equivalent
circuit between the two terminals of the capacitor is the series circuit with LCR,
while the designers should be more concerned about the voltage between the LCR
terminals at this time, not the voltage between the terminals of C Thus, the series
resonance can achieve better EMC effects.
1.3.5 Resonance of the RLC Circuit
RLC Series Resonant Circuit
4. Relationship between
current and frequency in RLC
parallel resonance circuit.
Parallel Resonance
self‐resonant frequency
When the resonance occurs, the currents in the two circuit
branches I L and I C are approximately equal.
At high frequency, the parasitic capacitance between the inductor terminals
and the equivalent series resistance of the inductor must be considered.
At this time, the inductor can achieve good EMC effect.
1.3.5 Resonance of the RLC Circuit
RLC Parallel Resonant Circuit
7. 1.4 Common Mode and Differential Mode in the
EMC Domain
The common‐mode voltage is the voltage causing the common‐mode currents, and the differential‐mode voltage is the
voltage causing the differential‐mode currents.
9. 1.5.1 Essence of the Radiated Emission Test
The amplitude study of this common‐mode current that generates the common‐mode radiation is the key to analyzing the
radiated emission problem. As shown in Figure 1.21, if the signal is flowing in the antenna with the current amplitude I,
frequency F, then the field strength of the radiation at the distance D away from the antenna is When F ≥ 30 MHz, D ≥ 1 m and
L < λ/2,
10. 1.5.1 Essence of the Radiated Emission Test
In the electronic products, there are many unknown details, such as the parasitic capacitance and inductance between the
signal lines, the parasitic capacitance between the signal lines and the ground reference plane, the lead inductance of the
signal line, and so on.
These parameters are frequency‐dependent, and their values are very small, so they are often ignored by the designers in
the DC or low‐frequency applications. However, for high‐frequency radiated emission, these parameters are of increasing
importance.
These factors also generate the undesirable parasitic common‐mode current on the equivalent antenna in the products. Its
current magnitude is small (usually below the level of mA or μA), but it is the main cause of the radiation.
11. 1.5.2 Essence of the Conducted Emission Test
The linear impedance stabilization network (LISN) is the key equipment in the power port conducted emission test. It can be
seen from Figure 1.33, the receiver is connected between the 1 kΩ resistor in the LISN and the ground.
After the receiver and the LISN are interconnected, the 50 Ω impedance of the receiver’s signal input port is in parallel with
the 1kΩ resistor in the LISN, and the equivalent impedance is close to 50 Ω, then it can be seen that, the essence of the
conducted disturbance test on the power port is to measure the voltage across this 50 Ω impedance.
When the 50 Ω impedance is constant, the essence of the conducted disturbances on the power port can be understood as
the amplitude of the current flowing through the 50 Ω impedance.
Two currents may flow through the 50 Ω impedance in the real products. One is IDM shown in Figure 1.33, and the other is
ICM.
12. 1.5.2 Essence of the Conducted Emission Test
Controlling the disturbance current not flowing through the 50 Ω impedance is the key to solve the conducted disturbance
problem on the power port.
The current probe is a key equipment to measure the conducted disturbances on the signal port.
It can be clearly seen from Figure 1.34 that the current probe essentially measures the common‐mode current on the cable of
the EUT. Of course, just as with the radiation model of the monopole antenna or the dipole antenna, the common‐mode
current leading to the conducted disturbances on the signal port is usually not the normal operating current on the signal
port, but some undesired common‐mode current. So, the test essence of the conducted disturbance on the signal port is the
same as that of the radiated emission generated by the cable or the long conductor, which is equivalent as the monopole or
the dipole antenna in the radiated emission test, but the test frequency band will not be the same.