*5.2.3 Output voltage response for input voltage transients*

**Figure 11** shows the output voltage during the input voltage transient, for the different control methods. Compared with the other control methods, the over/

undershoot of output voltage is smaller and the settling time is shorter for the PBMC method. Therefore, a system with PBMC can instantaneously respond to

*Inductor current responses for input voltage transients. (a) Step-up input voltage transient and (b) step-down*

**Figure 12** shows the inductor current during the input voltage transient, for the different control methods. From **Figure 12**, the rise/fall time of the inductor current for the PBMC method is much shorter compared with that of the other control methods. Because the rise/fall time of the inductor current for the PBMC method is

*5.2.4 Inductor current response for input voltage transients*

*Power Balance Mode Control for Boost-Type DC-DC Converter*

*DOI: http://dx.doi.org/10.5772/intechopen.82787*

very short, the settling time of the output voltage is short.

input voltage fluctuations.

**Figure 11.**

**263**

*input voltage transient.*

**Figure 10.** *Inductor current responses for load transients. (a) Step-up load transient and (b) step-down load transient.*

*Power Balance Mode Control for Boost-Type DC-DC Converter DOI: http://dx.doi.org/10.5772/intechopen.82787*

#### **Figure 11.**

*5.2.2 Inductor current response for load transients*

*5.2.3 Output voltage response for input voltage transients*

setting the correction coefficient *E*.

*Control Theory in Engineering*

**Figure 10.**

**262**

**Figure 10** shows the inductor current during the load transient, for the different control methods. From **Figure 10**, the rise/fall time of the inductor current of the PBMC is very short compared with that of the other control methods. Because the rise/fall time of the inductor current of the PBMC is very short, the settling time of the output voltage becomes short. Although over/undershoots of the inductor current also appear in the PBMC, the outcome can be improved by appropriately

**Figure 11** shows the output voltage during the input voltage transient, for the different control methods. Compared with the other control methods, the over/

*Inductor current responses for load transients. (a) Step-up load transient and (b) step-down load transient.*

*Inductor current responses for input voltage transients. (a) Step-up input voltage transient and (b) step-down input voltage transient.*

undershoot of output voltage is smaller and the settling time is shorter for the PBMC method. Therefore, a system with PBMC can instantaneously respond to input voltage fluctuations.

#### *5.2.4 Inductor current response for input voltage transients*

**Figure 12** shows the inductor current during the input voltage transient, for the different control methods. From **Figure 12**, the rise/fall time of the inductor current for the PBMC method is much shorter compared with that of the other control methods. Because the rise/fall time of the inductor current for the PBMC method is very short, the settling time of the output voltage is short.

CMC method has input and output components one by one. However, even during transient, the settling time is long because it is always approximated to the

**Step-up transient Step-down transient**

VMC **795.1**\*\* 0.77 **646.7**\* 0.78 CMC 735.2 **15.10**\*\* **690.6**\*\* **14.96**\*\* PBMC **554.6**\* **0.40**\* 667.1 **0.29**\*

**Step-up transient Step-down transient**

VMC **4531.9**\*\* 3.86 **4048.5**\*\* 3.96 CMC 498.7 **10.18**\*\* 484.9 **11.69**\*\* PBMC **235.5**\* **1.61**\* **231.8**\* **3.30**\*

**Undershoot (mV) Settling time (ms) Overshoot (mV) Settling time (ms)**

**Overshoot (mV) Settling time (ms) Undershoot (mV) Settling time (ms)**

that it be able to respond quickly to input/output fluctuations.

performance metrics. This confirms the effectiveness of PBMC.

\*Address all correspondence to: t.kawakami@osaka-pct.ac.jp

PBMC method has all components of input and output. Therefore, it is thought

This chapter described fast-response and highly robust PBMC for boost-type DC-DC converters. PBMC uses control to compensate for the difference between input power and output power for the inner loop. Performances of the PBMC method and conventional control methods were compared and verified using circuit simulations. As a result, the PBMC method yielded the best results on all

Department of Technological Systems, Osaka Prefecture University College of

© 2018 The Author(s). Licensee IntechOpen. This chapter is distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/ by/3.0), which permits unrestricted use, distribution, and reproduction in any medium,

first-order lag system.

**Target value** *V***o: 48 V**

**Target value** *V***o: 48 V**

*Simulation results for the load transient response.*

*DOI: http://dx.doi.org/10.5772/intechopen.82787*

*Power Balance Mode Control for Boost-Type DC-DC Converter*

*Simulation results for the input voltage transient response.*

**Table 3.**

**Table 4.**

**6. Conclusion**

**Author details**

Taichi Kawakami

**265**

Technology (OPUCT), Osaka, Japan

provided the original work is properly cited.

**Figure 12.**

*Inductor current responses for input voltage transients. (a) Step-up input voltage transient and (b) step-down input voltage transient.*

#### *5.2.5 Comparative verification of simulation results*

The simulation results for the different control methods are compared below. **Table 3** lists the simulation results for the load transient response, and **Table 4** shows the simulation results for the input voltage transient response. The most efficient results are shown by \*, while the least efficient ones are shown by \*\*. From these tables, it is evident that the PBMC method yields the most efficient results in terms of almost all metrics, when compared with the other control systems. The effectiveness of the PBMC method is confirmed across all simulation results.

VMC method has only output components. Therefore, it is impossible to promptly respond to input fluctuations. Therefore, the overshoot and undershoot in the input voltage fluctuation are much larger than the other two control methods.


**Table 3.**

*Simulation results for the load transient response.*


### **Table 4.**

*Simulation results for the input voltage transient response.*

CMC method has input and output components one by one. However, even during transient, the settling time is long because it is always approximated to the first-order lag system.

PBMC method has all components of input and output. Therefore, it is thought that it be able to respond quickly to input/output fluctuations.
