DESIGN OF POWER ELECTRONIC CIRCUITS Heatsink THERMAL RESISTANCE THERMAL RESISTANCE THERMAL RESISTANCE THERMAL RESISTANCE TRANSIENT THERMAL IMPEDANCE In some situations, the user of power devices must be concerned with the transient thermal response of the device being used. For example, during transient overloads or at power-up or power-down of a system containing power devices, the instantaneous dissipation in the devices may greatly exceed the average power rating of the device. TRANSIENT THERMAL IMPEDANCE TRANSIENT THERMAL IMPEDANCE TRANSIENT THERMAL IMPEDANCE TRANSIENT THERMAL IMPEDANCE In real devices where the heat must flow through several dif ferent layers (the left figure), the equivalent circuit is more complicated as shown (the right figure). TRANSIENT THERMAL IMPEDANCE TRANSIENT THERMAL IMPEDANCE TRANSIENT THERMAL IMPEDANCE TRANSIENT THERMAL IMPEDANCE If P(t) is not a rectangular pulse, the approach just outlined can still be used if an equivalent rectangular pulse can be fitted to the actual P(t). Consider the half-sine power pulse shown in figure below. TRANSIENT THERMAL IMPEDANCE HEAT SINKS Keeping the junction temperature of a power device within reasonable bounds is the joint responsibility of the device manufacturer and the designer. The manufacturer minimizes the thermal resistance R θjc between the interior of the device where the power is dissipated and the outside of the case enclosing the device. The designer must provide a heat conduction path between the case of the device and the ambient so that thermal resistance R θca between the case and the ambient (where the heat generated by device operation will ultimately be dissipated) is minimized in a cost-effective manner. HEAT SINKS The designer’s responsibility is made easier by the wide availability of extruded aluminum heat sinks of various shapes that are used for cooling of the power semiconductor devices. If the heat sinks are cooled by natural convection, the distance between each fin, such as is shown in the figure, should be at least 10-15 mm. A coating of black oxide results in a reduction of the thermal resistance by 25%, but the cost may be higher by almost the same factor. HEAT SINKS HEAT SINKS The choice of the proper heat sink depends on the allowable junction temperature the device can tolerate. For a worst-case design, the maximum junction temperature T j,max , the maximum ambient temperature Ta,max , the maximum operating voltage, and maximum on-state current are specified. The maximum onstate losses in the power device can be calculated if the maximum duty ratio, maximum on-state current, and maximum on-state resistance (obtainable from the data sheets corresponding to T J.max and the maximum current) are known. The switching losses can be obtained by integrating the instantaneous power loss with respect to time and averaging it over the switching time period. Therefore, P loss , which is the sum of the on-state losses and the average switching losses can be estimated. HEAT SINKS HEAT SINKS A proper heat sink can then be selected based on the information provided by the heat sink manufacturer's data sheets such as shown in the figure. Heat sink no. 1 2 3 4 5 6 7 8 9 10 11 12 Rθsa (oC/W) 3.2 2.3 2.2 0 2.1 1.7 1.3 1.3 1.25 1.2 0.8 0.65 Vol. (cm3) 76 99 181 0 198 298 435 675 608 634 695 1311 HEAT SINKS When using any of these heat sinks, it is imperative that the manufacturer's instructions be followed closely. Improper mounting of the power device on the heat sink could result in R θca being much larger than anticipated and thus intolerably high values of junction temperature of the device during normal operation. For example, a small amount of thermal grease should be used to increase the contact area between the device and the heat sink. Application of the proper torque to the mounting bolts and nuts will also help ensure good contact between the device and the heat sink. HEAT SINKS HEAT SINKS Heat sink number 7 in the 22nd slide has a thermal resistance of 1 .3 °C/W, which is acceptable for this application. In fact using this heat sink will lower the junction temperature to 122.6°C, which is slightly cooler than assumed. The power dissipation in the transistor will then be somewhat smaller as a result and thus will lower the real junction temperature somewhat as well, perhaps to less than 120°C. If the converter that uses this heat sink is to be mass produced, it might make economic sense to look for a heat sink with R θsa = 1 .39 °C/W since it will be lighter and smaller than number 7.