TIDUF64A December 2023 – August 2024
As Figure 3-11 shows, multiple passive components are present in the DC/AC stage. The theory behind the design of each passive component is described in detail in the following section. The EMI filter design comprises of two boost inductors, two common-mode chokes, and a network of CX and CY safety capacitors.
The design of the boost inductor is essential for finding an optimal EMI filter that results in maximum filter efficiency and minimum filter volume. The primary role of the boost inductor is to filter out the switching frequency harmonics and it is necessary to keep in mind, the calculation of the current ripple and choose material of the core that is able to tolerate the calculated current ripple. The boost inductors are further split to have better common-mode filtering capability and better filtering capacity for the individual switching nodes.
The emission mask for many standards starts at 150kHz; therefore, selecting a switching frequency below 150kHz is always a good design practice. In this design, a switching frequency of 87kHz was selected for the H-Bridge Bipolar and HERIC DC/AC topologies. For H-Bridge in unipolar modulation scheme, by topology definition, there is a doubling of switching frequency effect at the output EMI filter. Hence, a switching frequency of 43.5kHz was employed. By selecting an operating frequency of 87kHz, the first harmonic does not require significant attenuation but only the successive ones such as the 2nd, 3rd, and so forth. A current ripple factor of 30% was selected for the boost inductor, when having 230VAC output. The inductance value was calculated by using Equation 16.
An inductance value equal to 176μH was calculated. Bourns 145453 was selected and this is an inductor rated 87μH, 20 RMS. The inductor is split in both legs to have better common-mode capability. In general, the boost inductor contributes to the differential and common-mode noise attention.
Class-X (CX) and Class-Y (CY) capacitors are safety-certified capacitors that are usually used in AC line filtering applications which help to minimize the generation of EMI. Furthermore, X capacitors are connected between the line and neutral, to protect against differential mode interference, and Y capacitors are designed to filter out common mode noise. Common mode choke coils have the use of suppression of common mode noise.
CX are the capacitors connected between line-to-line or line-to-neutral. The aim of these capacitors is to attenuate the differential mode noise injected from the DC/AC into the grid. The value of these capacitors is a trade-off between reactive power provided to the grid and the differential mode attenuation. By default, the reactive power injected into the grid is equal to Equation 17.
At 10% load, a power factor equal to 0.9 (26°) has been set up as requirement. Thus, leading to limit the quantity of reactive power, given by Equation 18.
The maximum value of capacitance can be calculated from Equation 17and Equation 18 and is equal to 13.5μF. Two CX capacitors, respectively, with values of 4.7μF each were selected.
It is necessary to detect small leakage currents (typically 5–30 mA) and disconnect quickly enough (<30 ms) to prevent device damage or electrocution. Certain standards for the leakage current issue mention that PV systems with the transformer-less inverter must discontinue their service if the leakage current value of 100mA can persist up to 0.04s. With the total capacitance of 13.6nF going towards the ground, the leakage current through the Y capacitors can be calculated with Equation 19.
For the grid voltage of 230VRMS, this value comes out to be 0.98 mA < 30 mA, hence the system requirements are met.
The following EMI filter was designed to attenuate both the differential-mode and common-mode noise injected into the grid. The EMI filter can be analyzed in the common-mode and differential-mode domains. From the EMI filter shown in Figure 3-12, it is possible to derive the equivalent common- and differential-mode circuits as shown respectively in parts a) and b), where Lσ represents the leakage inductance of the common-mode choke.
The first critical frequency to be attenuated is the 174kHz. The 87kHz was not considered because that value is not in the EMI mask.
ATTENUATION | VALUE |
---|---|
Differential-Mode Attenuation at 174kHz | 87dB |
Common-Mode Attenuation at 174kHz | 83dB |
An EMI filter with the values listed in Table 3-5 was designed.
PARAMETER | VALUE |
---|---|
L1 | 87μH |
CX1 | 4.7μF |
Lcm1 | Lcm 4mH, Lσ 4μH |
CX2 | 4.7μF |
Lcm2 | Lcm 4mH, Lσ 4μH |
CY2 | 6.8nF |
Two Bourns CMCs (047708) were used in this EMI filter.
In single-phase applications, power ripple is present coming from the grid, and can cause voltage ripple on the DC-link. The DC-link capacitor value is calculated using Equation 20.
A total capacitance of 800μF was calculated for the 4.6kW, 400V, and 50Hz operating condition. Five of ALH82(1)161DD600 devices was selected for this application. Also note that the ripple current through the electrolytic capacitors can be handled by the model of capacitors used.