**3. Design Example and Parameters Selection**

As seen in Figure 2, the proposed converter comprises a single controlled switch, a single diode, two decoupled inductors, one coupling capacitor, and one low-pass filter (shunt filter capacitor with load resistance). For simplicity, the proposed converter is assumed to work in continuous current mode (CCM). The following discussion confirms a proper selection of the converter parameters to achieve CCM operating mode.

The selected design parameters are based on the data presented in [33]; the DC output voltage (motor voltage) is 48 V. Nevertheless, in this paper, it is changed to 300 V for better indication, and the rated power of the motor is 1 kW. As the input voltage to the circuit in [28] is an AC RMS line voltage, then the average of the rectified voltage is calculated to equal 200 V-DC. In addition, the switching frequency is set to 20 kHz. The ripple current percentage in both inductor currents is set to 20%. In contrast, the ripple in the output voltage should not exceed 10% of the desired output voltage. Table 2 presents the selected parameters for the design along with their corresponding values. These parameters were derived from the application proposed in [33]. The calculated parameters based on the presented equations are included in the fourth and fifth columns.


**Table 2.** The selected parameters of the design.

The average inductor *L*1, *L*<sup>2</sup> currents are calculated as:

$$I\_{L1} = \frac{P\_o}{V\_{in}}\tag{14}$$

$$I\_{L2} = \frac{P\_o}{V\_o} \tag{15}$$

The load resistance is set according to (16), and then the selected inductors are given by (17) and (18), (when *D* = 0.6).

$$R\_o = \frac{V\_o^2}{P\_o} \tag{16}$$

$$I\_{L1, \text{max}} = \frac{V\_{\text{in}} D}{f\_s \Delta I\_{L1}} \tag{17}$$

$$I\_{L2, \text{max}} = \frac{V\_o (1 - D)}{f\_s \Delta I\_{L2}} \tag{18}$$

When selecting the coupling capacitor *C*1, the ripple in the output voltage should not exceed 20% of *Vo*, thus it is found as per (19). Finally, the filter capacitor can be calculated by using (20). Thus, *Co* has a minimum value calculated as:

$$C\_1 = \frac{V\_{\rm C1}D}{R\_\text{of} f\_\text{s} \Delta V\_{\rm C1}} \tag{19}$$

$$\mathcal{C}\_o = \frac{V\_o D}{R\_o f\_s \Delta V\_{C\_o}} \tag{20}$$
