List of acronyms and their abbreviations.

## Abstract

The insulated-gate bipolar transistor (IGBT) offers low conduction loss and improved performance and, hence, is a potential candidate for high-current and high-voltage power electronic applications. This chapter presents the power loss estimation of IGBTs as employed in a high-voltage high-power dual active bridge (DAB) DC-DC converter. The mathematical models of the device currents are derived, and the power loss prediction is clearly explained using the mathematical models. There are many parameters to consider when selecting an appropriate power device for a given application. This chapter highlights the step-by-step procedure for selecting suitable IGBTs for a 20 kW, 540/125 V, 20 kHz DAB converter designed for aerospace energy storage systems. Experimental results are given to demonstrate the device performance at 540 V, 80 A operation of high-voltage IGBTs and 125 V, 300 A operation of low-voltage IGBTs and thus validate the selection procedure presented.

### Keywords

- power loss prediction
- HV-side IGBTs
- LV-side IGBTs
- zero voltage switching
- zero current switching
- dual active bridge
- DC-DC converter

## 1. Introduction

The dual active bridge (DAB) [1, 2] is a bidirectional DC-DC converter that has a small transformer between the two active bridges. This topology has received significant attention from researchers for high-power applications for decades. Compared with a single-phase DAB, a three-phase DAB of similar rating offers the benefits of smaller passive components and improved magnetic utilization [3]. Acronyms used in this chapter are listed in Table 1. A high-voltage SiC IGBT is used to achieve optimum design of a DAB converter based on the consideration of the device and transformer characteristics in [4]. However, the high * dv/dt* of the SiC IGBT switches [5, 6, 7] causes a huge spike and ringing in the currents during hard switching at high voltage levels.

Acronyms | Abbreviations |
---|---|

SiC | Silicon carbide |

PWM | Pulse width modulation |

HV | High voltage |

LV | Low voltage |

DAB | Dual active bridge |

IGBT | Insulated-gate bipolar transistor |

MOSFET | Metal-oxide-semiconductor field-effect transistor |

DC | Direct current |

ZVS | Zero voltage switching |

ESR | Effective series resistance |

ZCS | Zero current switching |

An optimization algorithm for non-active power loss minimization in the DAB DC-DC converter is discussed in [8] to improve the converter efficiency. Ref. [9] presents an advanced control strategy to reduce DAB converter losses. A survey of material-level developments in the key components of PWM power converters and the potential for improving system power density using advanced components is presented in [10]. Ref. [11, 12] indicate that a reduction of the switching loss by tenfold is achievable with the use of such advanced devices. Although wide bandgap devices have merits over Si devices, most have not been commercialized due to various reasons, such as the difficulty of mass producing large-diameter SiC wafers, the difficulty of controlling the impurity level of these devices, and high cost. Several parameters must be considered to select the correct power semiconductor device for any power electronic circuit. Device output characteristics, thermal characteristics, switching characteristics, blocking voltage, leakage current, and safe operating area (SOA) are all important factors with respect to reliability. It is important to note that at any point of time during device operation, the maximum ratings specified in the device datasheet should not be exceeded [13, 14, 15]. The gate charge characteristics and gate driver requirements of a power device and the associated driver circuit loss are also important factors to be considered when selecting an appropriate power device. The focus of this chapter is the estimation of the conduction power loss and the switching power loss. The key parameters and the device characteristics portrayed in the datasheets are discussed in [16].

The DAB DC-DC converter is shown in Figure 1. The converter has two H-bridge circuits interfaced via a high-frequency transformer. To correctly choose the power device for the DAB, power loss calculation is performed for all power devices under the worst-case operating condition of the converter.

The performances of various metal-oxide-semiconductor field-effect transistors (MOSFETs) and IGBTs produced by commercial manufacturers are compared to determine the appropriate power semiconductor device for the high-voltage (HV) and low-voltage (LV) sides of the converter [17, 18, 19, 20, 21]. For mission-critical applications such as aerospace systems, voltage transients are inevitable and are taken into consideration when selecting the voltage ratings of devices: 1200 V IGBTs are chosen for the HV side, and 600 V IGBTs are chosen for the LV side [22]. In addition to the device voltage and current handling capabilities and the power density, the anti-parallel diode’s on-state voltage and soft recovery characteristics should be taken into consideration. An analysis of MOSFET usage for the low-voltage side of the converter is presented in [23]. Due to the low voltage on the secondary side, the devices should be able to handle high currents. Hence, three or more MOSFETs should be connected in parallel, which makes the circuit very complex. Consequently, IGBT technology [24, 25, 26] has been chosen due to its high-current and high-voltage handling capabilities. The IGBT power modules have the benefit of reduced internal inductance and improved heat dissipation and are easy to connect. This chapter discusses the selection procedure of appropriate power devices for a high-power DAB DC-DC converter design. The mathematical model of the device current equations is presented. Researchers at an early stage of their research will find this information valuable as a reference for the design and development of converter prototypes.

This chapter significantly extends the experimental results given in [16]. Specifically, the experimental results for high-voltage IGBTs with the snubber capacitor and for low-voltage IGBTs with and without the snubber capacitors are included. In addition, the experimental measurements of power losses of the HV- and LV-side IGBTs are presented. The remainder of this chapter is organized as follows. The power loss estimation of HV- IGBTs of the converter from various manufacturers is presented in Section 2. Section 3 discusses the power loss calculation of LV-side IGBTs and the loss comparison of IGBTs with similar ratings from various leading manufacturers. The experimental results are presented in Section 4, and the conclusions are given in Section 5.

## 2. Power loss estimation of HV-side devices of the DAB DC-DC converter

To select the correct device, a power loss calculation should be performed for the worst-case scenario of the converter for the chosen application. In this work, we consider the design of a DAB converter for an aerospace energy storage system whose HV side is connected to the DC link of an aircraft and its LV side is connected to an ultracapacitor-based energy storage system. The working range for the ultracapacitor is assumed to be 2:1. The worst-case operating condition of the converter is * V* = 540 V,

_{HV}

*= 62.5 V, inductor RMS current*V

_{LV}

*= 427 A, peak inductor current*I

_{RMS}

*= 640 A, average ultracapacitor current*I

_{P}

*= 320 A, power throughput*I

_{0}

*= 20 kW, and*P

_{0}

*= 0.5. The main component values of the converter are determined by applying the worst-case operating condition to the equations derived based on the mathematical model of the DAB converter, which are presented in [16, 27].*d

The loss calculation is performed for the devices provided by various leading manufacturers for a 20 kHz switching frequency. The theoretical waveforms of the converter and the device currents are illustrated in Figure 2. The terms and symbols used in the analysis are listed in Table 2. Piecewise linearity is assumed for the device current waveforms. Hence, the average current flow through the IGBT on the HV side of the converter during the on-time is given by

Symbols/terms | Description |
---|---|

d | Duty cycle |

T_{s} |
Switching time period |

I_{T} |
Transistor current |

I_{P} |
Peak inductor current |

I_{L1} |
First inductor current peak |

t_{B} |
Time interval from I_{P} to zero current |

V_{CE (sat)} |
Transistor forward voltage drop |

P_{CondT} |
Transistor conduction loss |

r_{CE} |
Collector to emitter resistance |

V_{CEO} |
Collector to emitter voltage with gate open |

I_{D} |
Diode current |

P_{CondD} |
Diode conduction loss |

V_{F} |
Diode forward voltage drop |

P_{C} |
Total conduction loss |

P_{ON} |
Transistor turn-on power loss |

E_{ON} |
Transistor turn-on energy loss |

f | Switching frequency |

P_{OFF} |
Transistor turn-off power loss |

E_{OFF} |
Transistor turn-off energy loss |

V_{CE} |
Collector to emitter voltage |

I_{C} |
Collector current |

t_{r} |
Rise-time |

t_{f} |
Fall-time |

P_{SW} |
Total switching loss |

_{th(c-s)} |
Case to sink thermal resistance |

_{th(j−c)} |
Junction to case thermal resistance |

P_{T} |
Total power loss |

T_{jIGBT} |
Junction temperature of IGBT |

T_{jDiode} |
Junction temperature of diode |

The IGBT has a constant voltage drop during the on-state. Hence, the conduction loss can be calculated using the average IGBT current and the duty cycle, which is given as

The duty cycle is the ratio of the on-period of the transistor to the switching period. The datasheet specifies the forward voltage drop of the transistor (* V*) and the anti-parallel diode (

_{CE(sat)}

*) with respect to the main terminals of the modules, which includes the voltage drops across the terminals. Due to the high power densities of the devices, terminal losses cannot be neglected compared with the semiconductor losses. Hence, it is important to specify the voltage drop at the chip level and across the terminals (*V

_{F}

*) separately. The voltage drop across the terminals is given by*r

_{CE}’

The average diode current on the HV side of the converter during the on-state, as shown in Figure 2, is given as

In Eq. (4), the diode conduction interval and the base interval are the same on the HV side; hence, the diode current is computed regardless of time. Assuming a constant voltage drop, the conduction losses of the diode are estimated as

The DAB converter has four transistors and four antiparallel diodes on the HV side. Hence, the total conduction loss * P* of the semiconductor devices on the HV side of the converter is given as

_{C}

Switching losses are calculated from the turn-on (* E*) and turn-off (

_{ON}

*) energy loss curves, which are usually given as a function of the collector current at the switching instants of an IGBT, as given in the manufacturer datasheet. In the DAB converter configuration under zero voltage switching (ZVS), the diode always turns off with zero current, thus eliminating the diode reverse recovery losses. Therefore, the power loss equations for the turn-on and turn-off instants are*E

_{OFF}

* P* is the power loss during the turn-on instant,

_{ON}

*is the power loss during the turn-off instant, and*P

_{OFF}

*is the switching frequency. In some manufacturers’ datasheets, the energy loss curves for turn-on and turn-off may not be available. For those cases, it is necessary to consider the simplified voltage and current waveforms during the switching process. Switching losses are predominant during the rise-time and fall-time periods. Hence, the loss equations are approximated during the turn-on and turn-off instants, which are given as*f

In DAB converter operation during ZVS, the anti-parallel diode current is always transferred to the IGBTs. Hence, the turn-on switching losses can be neglected. Therefore, the total switching losses (P_{SW}) are approximated as

The junction temperature of the devices is calculated as

where * T* is the heat sink temperature and

_{S}

*is the total power loss of the IGBT module. The case to sink*P

_{T}

*and junction to case*R

_{th(c−s)}

*thermal resistances can be obtained from the device datasheet. The total power losses of the IGBTs and the antiparallel diode of the HV side of the DAB converter are compared for devices with ratings similar to 1200 V, 300 A from five different manufacturers:*R

_{th(j−c)}

SKM300GB125D from Semikron, which has a rating of 1200 V, 300 A at T

_{case}= 25°C;MII300-12A4 from IXYS, which has a rating of 1200 V, 330 A at T

_{case}= 25°C;DIM200WHS12-A000 from Dynex Semiconductor, which has a rating of 1200 V, 200 A at T

_{case}= 80°C;2MB1300U4H-120 from Fuji Semiconductor, which has a rating of 1200 V, 400 A at T

_{case}= 25°C; andCM300DY-24A from Powerex, which has a rating of 1200 V, 300 A at T

_{case}= 25°C.

The power losses of IGBTs and anti-parallel diodes are predicted for the worst-case operating condition and are depicted in Figure 3. Based on a comparison of the losses of all devices, the ultra-fast SKM300GB125D 1200 V, 300 A phase leg IGBT modules from Semikron [28] are selected for the HV side of the converter due to their low loss. As shown in Figure 3, the switching power losses of the IGBTs are significant and are a major contributor to the overall power loss due to the high switching frequency and high turn-off current.

## 3. Power loss estimation of LV-side devices of the DAB DC-DC converter

The power loss of LV-side devices is predicted using a procedure similar to that discussed in Section 2. The main difference is that the shape of the LV-side device currents differs from those of the HV-side devices due to the phase shift introduced between the HV- and LV-side bridges as shown in Figure 2. The transistor and diode current equations during the on-state are

Similar to the HV side, the on-state and switching power losses of the IGBTs and the antiparallel diode of the LV side of the DAB converter are compared for devices with ratings similar to 600 V, 700 A at T_{case} = 25°C from four leading manufacturers:

SKM600GB066D from Semikron, which has a rating of 600 V, 760 A;

CM600DY-12NF from Mitsubishi, which has a rating of 600 V, 600 A;

2MB1600U2E-060 from Fuji Semiconductor, which as a rating of 650 V, 600 A; and

CM600DY-12NF from Powerex, which has a rating of 600 V, 600 A.

Figure 4 portrays the power loss comparison of an LV IGBT and antiparallel diode for each module. As shown in Figure 4, all IGBT modules exhibit similar performance. During the forward conduction mode (charging mode), the diodes perform the rectification function. Hence, the conduction losses of the diodes are predominant. When the power flow reverses, the loss values are exchanged between the diode and IGBT. The phase leg modules from Semikron have lower losses than the other devices. In addition, the Semikron module has a maximum junction temperature of 175°C, whereas the other modules have a maximum junction temperature of 150°C. Hence, the Semikron SKM600GB066D high-temperature phase leg IGBT modules [29], which have a rating of 600 V, 760 A, were chosen for the LV side of the converter.

## 4. Experimental results

Experiments were performed for the HV- and LV-side devices of the converter using a suitable reactive load. A 39 μH air-core inductor was used for HV bridge testing by phase shifting the two half-bridge legs of the IGBTs, and the devices are subjected to maximum currents. Because the load was purely reactive, the current drawn from the source was used to meet the device conduction losses, switching losses, and the losses due to the passive components. A photograph of the DAB converter prototype is shown in Figure 5. Experimental results are shown in Figures 6 and 7 for the HV-side IGBTs of the DAB converter for 540 V, 80 A operation with and without the snubber capacitor.

A 47 nF snubber capacitor was used on the HV side to minimize the turn-off losses and improve the switching transient of the HV-side IGBTs. A direct mount snubber capacitor type was used with a reduced effective series resistance (ESR) and with a low effective series inductance (ESL). As evident from the waveforms shown in Figures 6 and 7, the diode begins conduction before the transistor, which ensures ZVS turn-on at peak current and ZVS/ZCS during turn-off. Similarly, the IGBT has ZVS/ZCS turn-on and ZVS turn-off at peak current.

The power loss measured during the experiments for the HV bridge converter at 16.6 kVA operation is plotted in Figure 8. Two cases are considered: in the first, a 47 nF snubber capacitor is connected across each of the four IGBTs of the HV-side bridge; in the second, no snubber capacitor is used. The power losses of the leading-phase and lagging-phase leg devices are displayed separately in Figure 8 due to different conduction intervals of the devices. Power losses in the cables, busbar, and connections are neglected. Due to the ZCS turn-off of the diodes, their reverse recovery losses are neglected; due to ZVS/ZCS turn-on of the IGBTs, their turn-on losses are omitted. As shown in Figure 8, the air-core inductor copper losses are high although it has only 11 turns. Diode and IGBT conduction losses, however, remain approximately constant with or without the snubber capacitors. As evident in Figure 8, there is a considerable reduction in turn-off losses when the snubber capacitor is used.

The LV-side devices of the converter were tested, and the LV-side IGBTs were subjected to a peak current of 300 A at 125 V. The two legs of the LV-side bridge were connected through an air core inductor with a value of 4.17 μH. An external electrolytic capacitor bank of 19.8 mF capacitance (comprising three 6.6 mF capacitor banks) was added to the DC supply to smooth the input ripple current. Figure 9 shows the current and voltage waveforms of the leading-leg IGBT and the driving signals of the IGBTs, D_{2} and C_{2}. A CWT15 Rogowski current probe with a sensitivity of 2 mV/A was used to measure the device currents. The measured current fall-time is 205 ns for the initial current fall time and 620 ns for the tail current fall duration. High-frequency ringing is observed in the device waveforms when the snubbers are introduced across the devices. This may be resonance due to parasitic inductances of the module (with values of 15–20 nH), the busbars, and the snubber capacitor connections.

The input power drawn from the source using 100 nF snubber capacitors is lower than those observed for other snubbers. Moreover, a significant reduction in * dv/dt* during the switching transients is observed. Hence, 100 nF snubbers are chosen for the LV-side IGBTs. Figure 10 shows the experimental waveforms for the LV-side IGBT C

_{1}with a 100 nF snubber capacitor. Figure 11 illustrates the power loss breakdown for the LV-side bridge converter at 19.2 kVA operation with and without the snubber capacitors, as determined from the measurements. The IGBT switching losses are dominant. Power losses due to cables, busbars, and connections are not included. When 100 nF snubber capacitors are connected across the IGBTs, no significant reduction in switching losses occurs. The experimental power loss using the 100 nF snubber is 135 W, and

*during the switching transient is reduced significantly, thereby minimizing the device stresses.*dv/dt

Comparisons of the theoretical and practical power losses of the HV- and LV-side devices are shown in Figures 12 and 13, respectively, for the leading leg devices to validate the mathematical models describing the device current equations. A close correlation between the calculated and experimental power loss values is observed, which demonstrates the effectiveness of the mathematical models presented.

## 5. Conclusion

Power loss analysis of IGBTs in a high-voltage high-power DAB DC-DC converter intended for use in an aerospace energy storage system was presented. The guidelines for selecting the appropriate IGBTs for a 20 kW, 540/125 V, 20 kHz DAB DC-DC converter prototype suitable for aerospace applications were given. The important parameters provided in the device datasheet for calculating the device power losses were discussed. Power loss analysis was performed for HV IGBTs corresponding to five leading manufacturers and LV IGBTs corresponding to four leading manufacturers based on the DAB converter prototype design. Apart from the guidelines given in this chapter, some IGBT manufacturers offer customer support for device loss estimation through a software package. Such software packages may be used for preliminary studies to estimate the device losses and the junction temperature for various operating conditions. In this work, experimental results were presented for 540 V, 80 A peak current operation on the HV-side IGBT, and 125 V, 300 A peak current on the LV-side IGBT. Using snubber capacitors on the HV side of the converter resulted in a nearly 45% reduction of IGBT switching losses. Introducing snubber capacitors on the LV-side devices created parasitic ringing, with no significant reduction of switching power losses. However, snubbers on the LV side did reduce the device stresses by limiting * dv/dt*. The experimental results demonstrate that the use of snubber capacitors across IGBTs reduces switching losses and device stresses and thus improves converter performance.

## Acknowledgments

The author thanks Rolls-Royce plc and the Engineering and Physical Sciences Research Council (EPSRC), UK, for the DHPA scholarship at the University of Manchester.

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