**1. Introduction**

The current source converters have unique features, such as inherent short-circuit capability, no electrolytic capacitor, step-up voltage capability and high reliability, and they have been widely used in applications such as smart microgrids [1], industrial uninterrupted power supplies (UPS) [2], Superconductor Magnetic Energy Storage (SMES) [3], photovoltaic power systems [4], high voltage direct current (HVDC) transmission systems and flexible AC transmission (FACT) systems [5]. There are many key technique issues that need to be solved for the converter, such as the leakage current problem, the efficiency problem, and so on [6–11]. For the single-phase current source converter, there is an inherent limitation of AC-side low-frequency power oscillation, which is twice the grid fundamental frequency. It transfers to the DC side and results in the low-frequency DC-link ripple. It has many unfavorable disadvantages. For example, it may reduce the efficiency of the maximum power point (MPPT) tracking in photovoltaic applications. Therefore, it could lead the light emitting diode (LED) lamps to flicker [12]. In addition, it may cause the battery to overheat and reduce the life of fuel cells [13,14]. This is the reason why the power decoupling techniques are popular in both academic and industrial fields.

Basically, the above-mentioned power ripple can be attenuated by increasing the DC-link inductance. However, it is of bulky size and not cost-effective. Another method is to use the passive LC branch for bypassing the power ripple, but it is still not cost-effective due to the low-frequency LC circuit. Recently, active power decoupling techniques have been reported to deal with this problem. Many interesting topologies have been reported in the last decades [15–24]. For example, a buck type circuit, boost type circuit or buck-boost type circuit is applied as the auxiliary power decoupling circuit [25]. Another method reported in [26,27] uses two additional capacitors placed on the AC side to achieve power decoupling without any auxiliary switches. The decoupling topology using the center tap of the isolation transformer has been proposed [28–30]. The above-mentioned topologies are the voltage-source converters. On the other hand, the active power decoupling techniques for the current source converters have been sparsely discussed in the literature. For example, Sun et al. proposed an interesting circuit, which used a decoupling circuit connect in series with the main converter [31]. This power decoupling method has the advantage of control flexible. For the current source AC/DC/AC converter, the low-frequency ripple also exists on the DC-side. There is a kind of power decoupling circuit proposed in [32]. The capacitor is used as a power compensation component, while the H bridge circuit is applied for power decoupling. Another circuit in [33] uses the buffer capacitor to achieve the power decoupling on the DC-side. A circuit structure connected in parallel with the current source converter on the DC-side is proposed in [34]. For this circuit structure, the buffer capacitor also connects in series with the current source converter when the circuit works in power decoupling mode. Aside from that, the power decoupling circuit can be installed on the AC side [35], which needs an extra bridge arm. A similar circuit structure is proposed in [36–38]. A modified differential connected circuit structure is proposed in [39]. To decrease the number of auxiliary switches, a kind of power decoupling circuit with the lower switches multiplexing has been proposed [40]. The modified power decoupling circuits, which need no extra switch, are proposed in [41,42]. A decoupling topology using the isolation transformer for the current source converter is derived from [43]. The power decoupling circuit is independent with the main converter. However, it needs a transformer to isolate the decoupling circuit and the main current source converter.

In summary, the power decoupling method can be divided into the capacitive and inductive compensations [44]. For the active power decoupling for the current source converters, the capacitor is generally applied as the ripple power compensation device. According to the relation between the auxiliary power decoupling circuit and the main circuit, the ripple power decoupling circuit can be divided into independent and non-independent structures [45]. The following will present the details, and the rest of the paper is organized as follows. The theoretical analysis of power oscillation and ripple for the single-phase current source converter is presented in Section 2. The versatile power decoupling circuits are illustrated and discussed in Sections 3 and 4. Aside from that, a comparison of different power decoupling circuits is provided in Section 5.

#### **2. Problem Definition**

The basic single-phase current source converter is illustrated in Figure 1.

**Figure 1.** Basic single-phase current source converter.

In Figure 1, the grid voltage *uac* and grid current *iac* can be represented as:

$$
u\_{a\varepsilon} = V \cdot \cos(\omega \cdot t),\tag{1}$$

$$
\dot{a}\_{\text{ac}} = I \cdot \cos(\omega \cdot t + q),
\tag{2}
$$

In Equation (2), *ϕ* represents the phase-angle between grid voltage and current. The output power *Pac* can be represented as

$$P\_{\rm ac} = u\_{\rm ac} \cdot i\_{\rm ac} = \frac{VI\cos(\varphi)}{2} + \frac{VI\cos(2\omega \cdot t + \varphi)}{2},\tag{3}$$

From (3), it can be observed that *Pac* has the ripple power at twice line frequency. The constant power *Po* can be represented as:

$$P\_{\mathcal{O}} = \frac{VI\cos(\mathcal{q})}{2},\tag{4}$$

Therefore, the ripple power *Pr* can be represented as:

$$P\_r = \frac{VI\cos(2\omega \cdot t + \varphi)}{2} \tag{5}$$

According to the power conservation law, the ripple power also exists on the DC side.

Figure 2 reflects the relation between the output power and ripple power. The AC power *Pac* consists of the constant power *Po* and ripple power *Pr*. According to the power conservation law, the auxiliary circuit is needed to attenuate the ripple. When the AC power *Pac* is larger than power *Po*, the ripple power is absorbed by the compensating circuit. The auxiliary circuit will emit the energy to compensate the AC power *Pac* when the AC power *Pac* is less than *Po*. It is the basic mechanism for the power decoupling method.

**Figure 2.** Output power and ripple power.

#### **3. DC-Side Power Decoupling Solutions**

The structure shown in Figure 3a connects in series with the main converter on the DC side to compensate for the ripple power. The capacitor is used as a passive component to bypass the ripple power. The circuit shown in Figure 3b is a simplified circuit in which the number of the auxiliary switch is reduced. However, the complexity of the circuit control will increase.

**Figure 3.** (**a**) H-bridge decoupling circuit; (**b**) Simplified H-bridge decoupling circuit.

The converter applies the H bridge structure shown in Figure 4. The voltage of the buffer capacitor is lower than the DC-side voltage. For this circuit, the circuit modes and power decoupling process is introduced as follows. When the auxiliary switches S5 and S6 are turned on, the buffer capacitor is charged. When switches S5 and S6 are turned off, the buffer capacitor discharges through the auxiliary diode D1 and D2. When only the switch S5 or S6 is turned on, the buffer capacitor is bypassed. The voltage of the buffer capacitor controlled to compensate the ripple power according the real time ripple power on the system. The auxiliary decoupling circuit is controlled independently with the main converter. For the function of the power decoupling circuit, the ripple power is eliminated on the DC side, and the DC-side inductance can be relatively small.

**Figure 4.** Power decoupling solution in [31].

Another power decoupling circuit applying the series power decoupling circuit is proposed as shown in Figure 5. The AC/DC/AC converter has three bridge arms, which play the role of rectification and inversion with sharing a bridge arm. The bridge arm '*a*' and bridge arm '*c*' work as rectification. And the bridge arm '*b*' and bridge arm '*c*' work as inversion. The decoupling circuit is in series with the DC-link in which capacitor applied to compensate the ripple power.

**Figure 5.** Power decoupling solution in [32].

Compared with a conventional AC/DC/AC converter, the circuit needs fewer switches. However, the system may be broken down when the auxiliary decoupling circuit is out of order, since the decoupling circuit is connected in series with the main circuit on the DC-side.

This type of power decoupling structure shown in Figure 3 has the advantages of a simple circuit structure, being independent with a main converter and flexible control. There are several other types of circuit structures, introduced as follow.

As shown in Figure 6, the auxiliary decoupling circuit is connected in parallel with the main converter. The buffer capacitor *C* is used to compensate the ripple power. Taking the positive period for example, the operation modes and power decoupling process are discussed as follows.

**Figure 6.** Power decoupling solution in [33].

In the positive period, the switches S3 and S2 are turned off, the switches S1, S4 and extra switch S5 work to implement the energy transfer and power decoupling. When S5 is turned on and the capacitor voltage *u*c of *C* is lower than the grid voltage, the diode D2 will be turned on. The DC current will flow through the circuit consisting of switch S5 and diode D2. When S5 is turned on and the capacitor voltage of *C* is higher than the grid voltage, the diode D2 will turn off and the capacitor *C* will discharge connected in series with the main converter. When S5 is turned off and the main converter switches S1, S4 are turned off, the capacitor *C* is charged through the diodes D1 and D2. When S5 is turned off and the main converter switches S1 and S4 are turned on, the capacitor *C* is bypassed. Meanwhile, the grid current and the voltage of the power compensated capacitor are controlled. In contrast to the circuit structure shown in Figure 4, the auxiliary decoupling circuit is depended on the main converter. When the grid voltage is negative, the circuit state is similar with the positive period.

As shown in Figure 7, the auxiliary decoupling circuit consists of one bridge arm and a bidirectional buck-boost circuit, which work to compensate the ripple power. The voltage of capacitor *Cf*, is controlled to keep constant. The capacitor *C* is used to compensate the ripple power.

**Figure 7.** Power decoupling solution in [34].

For this circuit, the operation modes and power decoupling process are discussed as follows. When all the main converter switches S1–S4 are turned off, the extra switch S5 remains on. In this state, the DC current is bypassed by the auxiliary bridge while the switch S6 is on. The buffer circuit supplies zero voltage to the DC side. While switch S6 is turned off, the buffer circuit connects in series with the DC side to compensate the ripple power. When the main converter switches S1 and S4 (or S2 and S3) are turned on, the switch S5 keep off. In this state, when switch S6 is turned off, the buffer circuit is isolated with the source. When switch S6 is turned on, the buffer circuit connects in series with DC side. The switch states of S5 and S6 are dependent with the main circuit.

The decoupling circuit shown in Figures 6 and 7 connects in parallel with the main converter but the buffer capacitor is connected in series with the main converter.

#### **4. The Typical Circuit Structure of AC Side Decoupling**

An interesting circuit structure to decouple the ripple power on the AC side is proposed in [35]. As shown in Figure 8, there is an auxiliary bridge arm of the converter. The capacitor *C*1, *C*2 and *C*3 work as power compensation capacitor connected in star structure. The capacitor *C*2 and *C*3 also work as AC filter capacitor. To compensate the ripple power, the decoupling circuit shares two arm bridges with the main converter to control the capacitor voltage effectively. The circuit shown in Figure 9 is one of the simplified circuits.

**Figure 8.** Power decoupling solution in [35].

**Figure 9.** Power decoupling solution in [35].

The decoupling capacitor *C*3 of Figure 8 can be seen as a wire in the circuit of Figure 9. The decoupling capacitor *C*1 works as the AC filter capacitor.

The literature [36] introduces a circuit which also compensates the ripple power on the AC-side. It is a duality with the voltage source converter introduced in [37]. It is similar to Figure 9 in circuit structure.

As shown in Figure 10, the circuit topology consists of three bridge arms. The bridge arm '*b*' is connected with bridge arm '*c*' through buffer capacitor *C*. By controlling the current flowing through capacitor *C*, the ripple power can be compensated. Different from the circuit shown in Figure 9, the circuit only has one decoupling capacitor. Hence, it is easy to control.

**Figure 10.** Power decoupling solution in [36].

For the single-phase current source AC/DC/AC converter, the ripple power exists at the source and load sides. To eliminate the low frequency DC-link energy, an interesting circuit is proposed in [38], as shown in Figure 11. The auxiliary power decoupling circuits were applied on the AC side to compensate for the ripple power, which is similar to the decoupling method shown in Figure 10. Compared with the power decoupling method shown in Figure 11, this circuit needs more extra switches. Henceforth, it has more switch losses.

A kind of differently-connected circuit was applied to achieve the ripple power decoupling as shown in Figure 12a.

As shown in Figure 12a, the current source inverter is composed of two H-type inverter which is connected in a differential way. The power decoupling circuit applies two capacitors as the power compensation device, which is placed at AC side. The number of switches is high as shown in Figure 12a. A modified circuit structure is proposed in [39]. The middle two bridge arms of Figure 12a were synthesized into one bridge arm, as shown in Figure 12b. The power compensation capacitors *C*1 and *C*2 shown in Figure 12b were used also as the AC filter capacitors. The phase of the ripple voltage part of the two capacitors was reversed. So, the total voltage of the two capacitors synchronizes with the grid voltage.

**Figure 11.** Current source converter with two auxiliary decoupling circuits [38].

**Figure 12.** Topology of current source converter with differential-connected structure [39]. (**a**) four leg configuration; (**b**) three leg configuration.

As stated above, the auxiliary power decoupling circuit shares the bridge arm with the main converter. The decoupling circuit, which shares the lower switches with the main inverter is proposed in [40]. As shown in Figure 13, the decoupling circuit part is marked by the lower dotted line. The main converter is marked by the upper dotted line. It is obvious that the multiplexed switches are the lower switches of the main converter. Compared to a conventional independent circuit, the dependent circuit needs fewer switches. To decrease the number of extra switches, the modified circuit of Figure 13 is proposed in [41,42].

**Figure 13.** Power decoupling solution in [40].

As shown in Figure 14a, there is an auxiliary capacitor which connects between the bridge arms. There are two circuit states to charge the capacitor voltage. When the switches S1, S3 and S4 are turned on, the capacitor *C* is charged. While the switch S2 is turned on, the capacitor *C* discharged. The voltage of capacitor *C* is controlled to compensate for the ripple power. This circuit only needs one auxiliary diode to limit the discharging loop of the buffer capacitor. Compared with Figure 14a, the circuit shown in Figure 14b has two auxiliary capacitors. Thus, the circuit has more optional circuit states.

**Figure 14.** Power decoupling solution with no auxiliary switch [41,42]. (a) 1-capacitor configuration; (**b**) 2-capacitor configuration.

A decoupling topology using the isolation transformer for current source converter is derived from [43]. In Figure 15, it can be observed that the auxiliary power decoupling circuit is separated from the output circuit. The auxiliary power decoupling circuit is independent from the main converter. Compared to the dependent power decoupling circuit, control of independent circuit is simple. However, it needs more auxiliary switches and an extra transformer.

**Figure 15.** Power decoupling solution with three-port circuit [43].

#### **5. Discussions and Conclusions**

The ripple power in the single-phase current source converter has an adverse effect on the performance of the system. That is the reason why power decoupling is important for single-phase current source converters. This paper has presented a systematic review of the power decoupling methods for single-phase current source converters. Typically, the capacitor is used as a buffer device for power decoupling [46–49]. According the relationship between the decoupling circuit and the main converter, the topology is divided into the independent and the dependent circuits. The dependent circuit needs few auxiliary switches. However, it is complex to control. The decoupling circuit can be placed on the DC-side or AC-side of the main converter. One of the DC-side decoupling circuits is shown in Figure 4. The H-bridge decoupling circuit is connected in series with the main converter. For this circuit structure, the power decoupling circuit is controlled independently with the main converter. Other circuit structures for DC-side power decoupling are shown in Figures 6 and 7. The auxiliary power decoupling circuit is in parallel with the main converter. The AC-side decoupling circuit shares bridge arms with the main converter. The typical structure is described as follows.

The circuit structure in Figure 16a needs two or more buffer capacitors to decouple the ripple power. The typical circuit structures are shown in Figures 8, 9 and 12. The circuit structures in Figures 9 and 12 can be considered as the simplified circuit of Figure 8. For the circuit structure shown in Figure 16b, the decoupling circuit shares a bridge arm with the main converter. The typical circuit is shown as Figure 10. Only one buffer capacitor is needed for power decoupling. It can be considered similar to the circuit structure in Figure 8.

Regarding the two circuit structures shown above, the decoupling circuit is dependent on the main converter. They will interfere with each other, which results in output current distortion and increases the control complexity.

A comparison of these topologies is shown in Table 1. The structures of power decoupling circuits have different characteristics. For example, compared to the dependent decoupling circuit, the independent decoupling circuit is not influenced by the main converter. However, the independent decoupling circuit needs more extra switches. Readers might wonder which could be the best choice among these versatile solutions. The answer to this question is difficult because each of them has its own disadvantages and advantages. In this paper, an overview and comparison has carried out, and it is expected to provide a useful guide for researchers and engineers to select the appropriate power decoupling solution for their specific applications.

**Figure 16.** AC-side power decoupling circuit structure. (**a**) Share two bridge arms; (**b**) Share a bridge arm; (**c**) Three-port circuit.


**Table 1.** Comparison of versatile power decoupling circuits.


**Table 1.** *Cont.*

**Author Contributions:** This paper was a collaborative effort among all authors.

**Funding:** This work is supported by the National Natural Science Foundation of China (51777181), the Lite-On Research Funding, the State Key Laboratory of Reliability and Intelligence of Electrical Equipment (No. EERIKF2018002), Hebei University of Technology, Postdoctoral Research Program of Hebei Province (B2018003010), and Hundred Excellent Innovation Talents Support Program of Hebei Province (SLRC2017059).

**Conflicts of Interest:** The authors declare no conflicts of interest.
