Many DC-DC converters can either buck or boost the voltages. The voltage fed converters can only buck the voltage and current fed converters can boost the voltages. There are applications which demands both buck and boost operation, for example battery charging and discharging. During batter charging, the voltage has to be stepped down whereas during battery discharge, the voltage has to be stepped up. The converters which can perform both the operations are Z-source converters which were first proposed by F. Z. Peng [1] . Z-source or impedance source network consists of cross connected L and C elements. Z-source inverters find wide applications in electric drive systems, as active filters for power quality improvement. The desired AC output can be obtained by controlling the shoot-through duty cycle of the Z-source. The output voltage can also be boosted; therefore Z-source converters can be used to mitigate the voltage sags and also they add on the other benefits like reliability, less harmonics and can have wider range of output voltages [2] - [4] .

By controlling the shoot through period, the duty cycle of Z-source converter can be controlled. The Z-source converter can produce any desired output ac voltage, even greater than the line voltage by controlling the shoot through period. Therefore Z-source inverters can be used to compensate the voltages when voltage sag occurs in power systems.

The concept of the Z-source network can be applied to DC-DC power conversion. Z-source dc-dc converter (ZSC) is proposed in [2] . H-bridge has been used to operate in four-quadrant operation for motor drives for many years, but it utilizes four active switches which are expensive and large. Z-source converter for DC motor speed control was proposed in [4] . To improve on the traditional ZSIs, quasi-Z-source inverters (qZSIs), have been developed in [5] . DC-DC switched power converters such as Buck, Boost and Buck/Boost converters have been widely used in industry. They can be divided according to their output characteristics: single-quadrant converters, two-quadrant converters, and four-quadrant converters. Single-quadrant dc-dc converters have been studied for a long time since this type of converter has wide spread applications. Two-quadrant converters also have been discussed in bidirectional current and motor control applications [6] . Four-quadrant converters have been discussed in [7] . The efficiency of multi stage cascaded converter is poor because of losses in every stage. This problem can be overcome in Quadratic converters which was proposed in [8] . The design of Buck, Boost, Buck/Boost, Sepic converters is discussed in [9] - [11] . The four-order converter was taken; both continuous conduction mode and discontinuous conduction mode operations were performed [12] . Along with the advantages of ZSC, qZSC has the above advantages of quasi-Z-source network. Also, the voltage gain of qZSC is the same with that of ZSC. The design of PI controller by using ACSWEEP is discussed in [13] [14] . Quasi Z-source DC-DC converter with switched capacitor was proposed in [15] for higher gain with less voltage stress.

Z-source network has both the current-fed topology and the voltage-fed topology. This paper focuses on voltage-fed power conversion circuit which is represented in Figure 1. The input part is composed of the input voltage source V_in and the diode D₀. The Z-source network part is composed of the inductors L₁, L₂ and the capacitors C₁, C₂. The inductors L₁, L₂ have the same inductance value. Also, the capacitors C₁, C₂ have the same capacitance value. In the case of ZSC, the output part is composed of the switch S, the low pass filter L_f-C_f, and the load resistance R₀.

ZSC has two operation modes; state 0 and state 1. During the term of state 0, the switch S is on. The Z-source inductors L₁, L₂ are magnetized, and the capacitors C₁, C₂ of Z-source are discharged. During the state 1 cycle,

the switch S is off. The Z-source inductors L₁, L₂ and input voltage source V_in provide the energy to the output part and the Z-source capacitors C₁, C₂. By repeating these two operation modes, ZSC can output positive polar boost voltage. The equivalent circuits and the associated expressions corresponding to different stages of operation of the PWM Z-source dc-dc converter in CCM, the dc input-to-output voltage conversion factor and minimum inductance required to ensure CCM operation for power losses in the components of the PWM Z-source dc-dc converter and the overall efficiency, output voltage ripple across the filter capacitor and experimental results to validate the theoretical analysis [3] . Z-Source dc-dc converter used in applications like solar and fuel cell with high voltage gain and low ripple input current.

In common with Z-source network, quasi-Z-source network has both the current-fed topology and the voltage- fed topology. This paper focuses on voltage-fed power conversion circuit which is shown in Figure 2. In analogy with Z-source network, the dc-dc converter output part can be added to quasi-Z-source network, and quasi- Z-source network can be applied to the dc-dc converter. ZSC has some disadvantages; the discontinuity of input current, high voltage stress on Switch is more. The L_f-C_f output filter is used to smoothen the output current and load voltage respectively.

To overcome the above problems of ZSC, quasi-Z-source converter is proposed in [3] . Quasi Z-source converter has an LC impedance network, which is the improved Z-source network. The operation of qZSC is similar to the opeartion of ZSc, along with the advantages of Z-source network topology, quasi-Z-source network has some advantages, such as continuous input current, low voltage stress on capacitors, and sharing the input and output grounds. In common with Z-source network, quasi-Z-source network can be applied to dc-dc power conversion. Quasi-Z-source dc-dc converter (qZSC) is proposed in [4] . Along with the advantages of ZSC, qZSC has the above advantages of quasi-Z-source network. Also, the voltage gain of qZSC is the same as that of ZSC.

qZSC has two operation modes, state 0 and state 1. During the term of state 0, the switch s is on and the diode D₁ is off. The inductor L₁ is magnetized by the input voltage source V_in and the capacitor C₂. Also, the inductor L₂ is magnetized by the capacitor C₁. During the term of State 1, the switch is off and the diode D₁ is on. The input voltage source V_in and the inductor L₁, L₂ provide the energy to the load resistance R₀. Moreover, the capacitor C₁ is charged by the input voltage source V_in and the inductor L₁, and the capacitor C₂ is charged by the inductor L₂. By repeating these two operation modes, qZSC can boost the voltage.

1) State 0(t_o ≤ t ≤ t_on) when the switch is ON.

During the term of state 0, the switch s is on and the diode D₁ is off. The inductor L₁ is magnetized by the input voltage source V_in and the capacitor C₂. Also, the inductor L₂ is magnetized by the capacitor C₁.

As shown in Figure 3, the following equations are derived in state 0.

2) State 1(t_on ≤ t ≤ t_off) when the is switch OFF.

During the term of State 1, the switch is off and the diode D₁ is on. The input voltage source V_in and the inductor L₁, L₂ provide the energy to the load resistance R₀. Moreover, the capacitor C₁ is charged by the input voltage source V_in and the inductor L₁, and the capacitor C₂ is charged by the inductor L₂.

As shown in Figure 4, the following equations are derived in state 1.

D―duty ratio.

T_s―total time period.

T_on―switch ON period.

T_off―switch OFF period.

Where is the supply voltage.

is the capacitor C₁ voltage.

is the capacitor C₂ voltage.

is the filter capacitor C_f voltage.

is the voltage across the inductor L₁.

is the voltage across the inductor L₂ with reference to Figure 2.

where D―duty ratio.

T_s―total time period.

T_on―switch ON period.

T_off―switch OFF period.

In steady-state, the averaged voltages of L₁, L₂ are zero for one switching cycle T_S. Therefore, the following equations are satisfied.

Substitute (1) and (4) in (9)

Substitute (2) and (5) in (10)

Since the voltages across C₁, C₂, increase and decrease linearly in two operation modes, the averaged voltages, , across C₁, C₂, are expressed as follows in steady state.

Substitute (7), (8), (13) and (14) in (11) we will get

Substitute (7), (8), (13) and (14) in (12) we will get

Equating Equations (15) and (16) we will get

In steady-state, the averaged voltages of L_f are zero for one switching cycle T_S. Therefore, the following equations are satisfied.

Substitute (3), (6) in (18) we will get

In steady-state, the input power is equal to output power

The ripple Current allowed to the inductance

δ―allowed Ripple.

Smart Control is a general?purpose controller design software specifically for power electronics applications. To design the controller of a dc-dc converter with a single control loop using the Smart Control software. Before going to Smart control find bode plot of the Plant. The converter selected in this example is a quasi Z-source converter with voltage model control, as shown in Figure 5. The voltage regulator to be designed is highlighted in the red box. Before going to the design define the converter and Select the sensor, regulator type, crossover frequency and phase margin. Given a particular design, the attenuation given by the sensor and the regulator at the switching frequency is calculated and displayed in the edit box |K(s)*R(s)| at Fsw. The PI controller parameters are shown in Table 1.

Note that if there is not enough attenuation at the switching frequency, the system will likely oscillate in the high frequency region. Also, if a design is not proper, the edit boxes will be change to the red color, warning users to re?select the design. After the design is completed, Smart Control provides the component values for the sensor and the regulator.

In this paper the simulation model is developed with Psim software. The simulation is carried out for closed loop control of converter shown in Figure 3. The simulation circuit of proposed method and output waveform is shown in figure below. The proposed converter has to boost the voltage from 20 V to 120 V with the switching frequency and load Resistance R₀ = 200 Ω. and are the input and output voltage while and are the input and output current which are all positive. The Gating Pulses, Voltage across the switch and the current through MOSFET switch is shown in Figure 6. Figure 7(a) and Figure 7(b) shows the capacitor voltage C₁ and C₂ of qZSC. Current through inductor of L₁ and L₂ of qZSC is shown in Figure 8(a) and Figure 8(b). Figure 9 and Figure 10 shows the output voltage and current of closed loop control. On the other hand Figure 11 and Figure 12 shows the output voltage and current of losed loop control when there is a change in load. The circuit parameters are listed in Table 2.

As observed from Figure 11 and Figure 12, whenever there is load change, the closed loop control action maintains the output voltage at desired value, whereas the current decreases due to increase in load resistance. Hence proposed closed loop control helps in regulating load voltage during load variation.

In this paper, the PI controller is designed by using smart control and the closed loop control performance of quasi Z-source dc-dc converter was analyzed for step change in load. By PWM duty ratio control, it can boost the input voltage. It can reduce cost and improve reliability. Quasi-Z-source dc-dc converter has been proposed with low pass filter. The quasi Z-source converter draws continuous current from supply and the input current ripple is also less compared to Z-source converter. By the circuit analysis and experiment, the operation of the proposed circuit has been confirmed.

A. Suresh,M. R. Rashmi,V. Madusuthanan,P. Vinoth Kumar, (2016) Closed Loop Control of Bi-Directional Soft Switched Quasi Z-Source DC-DC Converter. Circuits and Systems,07,574-584. doi: 10.4236/cs.2016.75049