Modelling and Simulation in Engineering

Volume 2008, Article ID 593042, 8 pages

http://dx.doi.org/10.1155/2008/593042

## Extra-High-Voltage DC-DC Boost Converters Topology with Simple Control Strategy

^{1}Project Engineer, Simulation Solutions, Chennai, India^{2}Department of Electrical and Electronics, Pondicherry Engineering College, Pondicherry 605014, India

Received 4 June 2007; Accepted 21 January 2008

Academic Editor: Ivan Zelinka

Copyright © 2008 P. Sanjeevikumar and K. Rajambal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

This paper presents the topology of operating DC-DC buck converter in boost mode for extra-high-voltage applications. Traditional DC-DC boost converters are used in high-voltage applications, but they are not economical due to the limited output voltage, efficiency and they require two sensors with complex control algorithm. Moreover, due to the effect of parasitic elements the output voltage and power transfer efficiency of DC-DC converters are limited. These limitations are overcome by using the voltage lift technique, opens a good way to improve the performance characteristics of DC-DC converter. The technique is applied to DC-DC converter and a simplified control algorithm in this paper. The performance of the controller is studied for both line and load disturbances. These converters perform positive DC-DC voltage increasing conversion with high power density, high efficiency, low cost in simple structure, small ripples, and wide range of control. Simulation results along theoretical analysis are provided to verify its performance.

#### 1. Introducton

Proceeding to the paper work [1], other two topologies are developed for extra-high-voltage applications. Traditional boost converters are used in extra-high-voltage applications. But they are not economical due to the limited output voltage, efficiency, and they require two sensors with complex control algorithm. Because of the effect of parasitic elements, the output voltage and transfer efficiency of converters are limited. Voltage lift technique is a popular method widely applied in electronic circuit design. It has been successfully employed in converter [1–5] applications in recent years, and opened a way to design high-voltage gain converters. The output voltage increases stage-by-stage along the geometric progression. So to overcome these limitations and to make the converter with a simple control loop, a new technique called voltage lift technique is used [6–11].

In this paper, a new series of converter topologies is analyzed which is different from classical boost converter. This paper introduces positive output boost converters employed with voltage lift technique that implements the output voltage increase in a simple geometric progression. They also effectively enhance the voltage transfer gain as per power-law terms. The performance of this converter is superior to classical with reduced control scheme. The performance of this converter is superior to classical with the following advantages. (i)It performs similar to classical boost converter with comparatively high-voltage transfer ratio.(ii)Wide range of control with smooth ripple at the output voltage is an added advantage of this proposed converter.(iii)High power density with high efficiency than classical boost converter.(iv)Closed-loop controller requires only one sensor. In this paper, the operation and mathematical analysis of the proposed converters I and II are presented. An algorithm is developed to generate PWM pulses for the -channel MOSFET. The simulation model of the converter is developed in MATLAB7 using simulink toolbox. Simulation is carried out to study the performance of the converter under line and load disturbances. The simulation results are presented and they closely match with the theoretical results. The effectiveness of the converter is shown by comparing the performance with the classical boost converter.

#### 2. Boost Converter Circuits

##### 2.1. Topology-I

The proposed topology of new series of boost converter is derived from the boost converter circuit. Topology-I is a boost converter circuit with the voltage lift components, that is, additional three stages of inductor and capacitor along with the basic circuit are shown in Figure 1. In this topology, the switch is -channel power MOSFET device (NMOS) and it is driven by a pulse-width-modulated (PWM) switching signal with variable frequency and conduction duty . For this circuit, the load is usually resistive,

The basic principle of this circuit in boosting up the output voltage is charging and discharging reactive elements into a load, controlling the levels of charge, and consequently the output voltage by switching the supply in and out of the circuit at very high frequencies. They include a freewheeling diode to protect the switch from the inductors high reverse currents, and this also ensures that the generated inductor energy is applied to the load. Capacitors are connected in parallel with the load to filter output ripple and maintain a constant output voltage.

It consists of passive components: one static switch , diodes, four inductors and capacitors Capacitors perform the characteristics to lift the capacitor voltage . The directions of all voltages and currents are defined and shown in Figure 1. We will assume that all the components are ideal and the capacitors are large enough. We also assume that the circuits operate in continuous conduction mode. The output voltage and current are and the input voltage and current are and .

##### 2.2. Analysis of Topology-I

When switch is turned ON, its equivalent circuit is shown in Figure 2. The source instantaneous current is equal to The load current flows from the addition of two voltages. That is, the source voltage and the voltage across the capacitor during ON period. Also the capacitors and are charged to the input voltage under switch-ON condition. All the inductor current rises during switch-ON period. When switch is turned OFF, source current is equal to zero. The stored energy in the inductors and the capacitors and discharges and charge the capacitor with the direction as shown in Figure 3. Simultaneously, current flows through the load, which is sustained by the inductor . Currents decrease during switch-OFF period.

In steady state, the average inductor voltages over a period are zero. Thus

The inductor current increases in the switch-on period and decreases in the switch-off period. The corresponding voltages across and -.

Therefore,

Similarly,

During switch-on period, the voltage across capacitor is equal to the source voltage plus the voltage across . Since we assume that and are sufficiently large, during switch-on period, Therefore, from switch-off period equivalent circuit,

The voltage transfer gain of continuous conduction mode (CCM) is

The output voltage, current, and the voltage transfer gain are summarized as follows:

Average voltages are

Average currents are

##### 2.3. Topology-II

Topology-II of the boost converter is derived from topology-I. Topology-II is the same as topology-I circuit with the additional voltage lift components, that is, capacitor and inductors in addition to that of the topology-I circuit. The output voltage and current of this converter are smooth. The output voltage of this converter is four times that of the input source voltage. It consists of a static switch , diodes inductors capacitors and the output capacitor . It can be seen that there are one capacitor one inductor and two diodes added into the circuit. Capacitors perform characteristics to lift the capacitor voltage by four times that of source voltage . The directions of all voltages and currents are defined and shown in the Figure 4.

It is assumed that all the components are ideal and the capacitors are large enough. It is also assumed that the circuits operate in continuous conduction mode. The output voltage and current are and , while the input voltage and current are and . Topology-II performs a positive-to-positive step-up voltage conversion with high efficiency, high power density and cheap topology in a simple structure.

##### 2.4. Analysis of Topology-II

When switch is turned ON, the equivalent circuit is shown in Figure 5. The source instantaneous current is equal to The load current flows from the addition of two voltages, That is, the source voltage and the voltage across the capacitor during switch-ON period. Also the capacitors are charged to the input voltage under switch-ON condition. All the inductor current rises during switch-ON period. When switch S turned OFF, source current is equal to zero and equivalent circuit is shown in Figure 6. The stored energy in the inductors and the capacitors discharges and charges the capacitor with the direction as shown in Figure 6. Simultaneously, current flows through the load, which is sustained by the inductor All the inductor currents decrease during the switch-OFF period.

Under steady state, the average inductor voltages over a period are zero. Thus

During switch-on period,

Also

The inductor current increases in the switch-on period and decreases in the switch-off period. The corresponding voltages across and -.

Therefore,

Similarly, for

From switch-off period equivalent circuit,

The output voltage, current, and voltage transfer gain are summarized below

Average voltages are

Average currents are

Table 1 illustrates the comparison between the analyzed converters with the classical boost converter. From the table, it is clear that the proposed converter topology produces higher output voltage.

#### 3. Closed-Loop Controller for Proposed Boost Converter

Closed-loop control scheme for the proposed boost converter topology is shown in Figures 7 and 8. The control scheme essentially consists of only one voltage sensor with simple control structure when compared with classical boost converter which requires both voltage and current sensors. voltage of the load is fed back and compared with reference voltage and the error is given to the controller to stabilize the error and the signal obtained from the controller is the modulating signal for the PWM scheme. Signal from the controller is compared with high frequency ramp signal to produce required pulse for the -channel MOSFET switch to obtain the reference voltage at the load. In this paper, for the above model of the converter [12, 13] using the Ziegler-Nichols method 1 is (-shaped curve technique) applied to design the controller.

Step input is applied to the plant model and the response is the shaped curve. By drawing the tangent to the -shaped curve at its inflection point with reference to -axis, the time delay and time constant are calculated. Using [12] Ziegler-Nichols chart, the value of the and is calculated. The controller designed by the above method is tested under different disturbance conditions and results are provided for the feasibility. Closed control schemes for both topologies are the same and tuning parameters and are different.

#### 4. Simulation Results

Simulation results of the proposed boost converter topologies with simplified controller scheme are presented and discussed further. Design of inductance and capacitance is based on 5% ripple at the output [14] and the values are the same for both load and lift part of the circuit.

Simulation parameters taken for analysis are

Input voltage = 10 volts,

Inductance = 100?*µ*H,

Capacitance = 5?*µ*F,

Load resistance = 44?ohms,

Duty ratio = 0.6666,

Switching frequency = 50?KHz.

controller transfer function:

Figure 9 depicts the output voltage of the converter at rated condition, maintaining 90 volts at 44 ohms load resistance, and the corresponding output current of 2.045 amperes is shown in Figure 10. Figure 11 shows the line voltage variation applied to topology-I, initially 10 volts is maintained and introduced a change to 9 volts at 0.03 second, for analyzing the line disturbance performance. Figure 12 shows the load resistance variation applied to topology-I, initially 48 ohms are maintained and introduced a change to 44 ohms at 0.05 second, for analyzing the load disturbance performance. Figure 13 illustrates the output voltage for topology-I under both line and load disturbances, the output voltage stabilized in 0.005 second for both distortion conditions by the closed-loop controller. Figure 14 illustrates the output current for topology-I under line and load disturbances, as load resistance decreases from 48 ohms to 44 ohms at 0.05 second the load current increases from 1.875 amperes to 2.045 amperes.

Figure 15 depicts the output voltage of the converter at rated condition, maintaining 120 volts at 44?ohms load resistance and the corresponding output current of 2.7272 amperes is shown in Figure 16. Figure 17 shows the line voltage variation applied to topology-I, initially 10 volts are maintained and introduced a change to 9 volts at 0.02 second, for analyzing the line disturbance performance. Figure 18 shows the load resistance variation applied to topology-I, initially 48 ohms are maintained and introduced a change to 44 ohms at 0.04 second, for analyzing the load disturbance performance. Figure 19 illustrates the output voltage for topology-I under both line and load disturbances, the output voltage stabilized in 0.005 second for both distortion conditions by the closed-loop controller. Figure 20 illustrates the output current for topology-I under line and load disturbances, as load resistance decreases from 48 ohms to 44 ohms at 0.05 second the load current increases from 2.5 amperes to 2.7272 amperes.

#### 5. Effectiveness of the Proposed Converter

The effectiveness of the proposed converter topologies is shown in Table 2 by comparing the simulation results with classical boost converter. It is seen from Table 2 that the output voltage varies from 33.33 volts to 300 volts for topology-I and 44.44 volts to 400 volts for topology-II, respectively, for a duty ratio of 0.1 to 0.9. However, the classical converter produces only a maximum of 90 volts. This shows that the proposed converter provides higher output voltage.

#### 6. Conclusions

A new series of boost converter topologies are proposed. The topologies use voltage lift technique to obtain higher output voltage than the classical boost converter for the same duty ratio. The technique also overcomes the effect of parasitic elements and minimizes the ripple in the output voltage. A simplified controller with one sensor is designed to maintain the output voltage at the required level for the load and line disturbances. Simulation results validate the theoretical analysis. The proposed converter topologies find application in computer peripheral circuits, medical equipments, and industrial applications which require higher voltages.

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