ISM P A E F F I C I ENCY P I N S W I TC H T H E R M A L M A N A G E M E N T DesignFeature Taming Temperature In High-Power PIN Switches Thermal management efforts for high-power PIN diode switches should include a combination of test equipment and software, using thermal imaging and 3D thermal modeling, respectively. MICHAEL HEBERT Mechanical Engineer Micronetics, Inc., 26 Hampshire Dr., Hudson, NH 03051; (603) 883-2900, e-mail: [email protected], Internet: www.micronetics.com. T ements can rapidly cool when the power is off. In predicting the effects of high power levels on such a system, it is necessary to know if these elements fully cool down before the next burst of energy arrives. Without proper control of the heat rise, thermal runaway could occur, a condition in which each successive pulse adds to a continuing rise in the temperature of a critical element until performance degradation and/ or failure occurs. The thermal time constant is the critical parameter in how quickly the element heats and cools. In developing a thermal-management strategy for a PIN diode switch operating at high power levels, it is necessary to examine three primary elements: hermal management is one of the critical disciplines in high-power, 1. This is a thermal image of an RF switch high-reliability PIN dioperating under high-power, steady-state ode design. Although CW conditions. power levels can vary dramatically for comand system will arrive at a single ponents operated under steady-state condition. The dycontinuous-wave (CW) and pulsed namic nature of a pulsed system is conditions, the goal of any thermalmore difficult to predict. The short management effort is the effective disbursts of energy in a pulsed system sipation of power to prevent thermal rapidly heat critical elements when buildup in the component and system the power is on, but those same elin which it is used. Fortunately, the task is made simpler by moderately priced infrared thermal imagers and finite-element-analysis (FEA) software that can run on a well-equipped personal computer (PC). Although high power levels in a CW system can be more stressful on comp-region ponents than high power in i-region n-region a pulsed system, the effects are relatively straightforward to predict and measure since the components 2. This is a typical three-dimensional (3D) model of a PIN diode switch. 3537_MWRF_MICRO.indd 1 • the PIN diode junction (with a short thermal time constant), • the substrate on which the PIN diodes comprising a switch are mounted (which has a longer thermal time constant), and • the PIN diode switch’s housing (with a very long thermal time constant). When RF power is applied to a PIN diode switch, 6/8/10 10:04 AM P I N S W I TC H T H E R M A L M A N A G E M E N T DesignFeature heat is primarily generated concentration has an inby the dissipation of power verse effect on the desired in the diode junction as it thermal properties. Figure 2 absorbs a small amount of shows a typical PIN diode the power and converts it to 3D model. heat. How the heat spreads The diode’s i-region can from the diode junction to be assumed as pure silicon the substrate and then to and the thermal properties the housing over a series of of that material applied to pulses will ultimately deterthe model, while for the mine how hot the junction p-region the properties of of the PIN diode gets. It boron-doped silicon can be has long been proven that applied and for the n-region maintaining a junction temthe properties of phosphoperature below +150oC is rous-doped silicon can be required for high reliabil- 3. Proper model meshing uses an ample number of nodes and elements used in the model. With ity. through the thickness of each portion of the switch’s geometry. these device region propAnalysis of a high-power erties established, a solid model assembly is then CW system is performed by created and meshed in means of thermal imaging preparation for simulation in conjunction with therinputs. Figure 3 shows a mal software simulations. Figure 1 shows the steadymeshed model containing state thermal image of an two PIN diodes, mounted RF switch under high CW on an aluminum nitride power conditions. The PIN substrate, then mounted diode switch incorporates to a pedestal portion of a chip-and-wire construction metal housing. Meshing with a variety of series and should be performed in shunt inductive (L), resissuch a way that an ample tive (R), and capacitive number of nodes and ele(C) elements soldered and 4. These are the thermal analysis results for a switch consisting of four ments are present through bonded onto the switch cir- shunt PIN diodes with uneven power dissipation across the diodes. the thickness of each porcuit substrate. Thermal imtion of the switch’s geomaging can provide invaluable insight The SolidWorks Simulation softetry, resulting in the biased mesh into the heat flow of such a circuit ware interface allows the use of in Fig. 3. To improve accuracy, the and potential hotspots where heat existing solid models for housing, software allows for the definition might build to potentially danger- shims, substrates, and other major of contact interfaces between solid ous temperatures. Verifying prior components in a PIN diode design. bodies to include the thermal resisassumptions about heat dissipation Three-dimensional (3D) modeling tance of solders or epoxies used to or discovering unexpected hot spots of PIN diodes allows for accurate attach each component. aids in building a broad knowl- simulation of heat dissipation, ocTo run the simulation, proper edge base of high-power devices. curring in the intrinsic (i) region, as boundary conditions and power disIn addition, the use of SolidWorks well as incorporation of the varying sipation must be employed. Power Simulation FEA software from Das- material properties in each region, is dissipated evenly throughout the sault Systems SolidWorks Corp. due to the doping of the silicon.1,2 volume that constitutes the i-region (www.solidworks.com) has drasti- Given that the doping concentra- of the diode, the amount of which cally increased thermal management tions of the positive (p) and negative is based on the estimated power loss capabilities when designing high- (n) regions of silicon diodes are not across the diodes. Boundary condipower PIN diode switches. This is always known, it is usually best to tions are selected that can be replitypically done in three steps: gener- assume a fully doped concentration, cated in the test lab under a thermal ating a thermal model, verifying the due to the fact that doping levels imaging camera—for example a model, and calibrating the model. have a maximum and the doping baseplate held at +25oC, achieved 3537_MWRF_MICRO.indd 2 6/8/10 10:04 AM P I N S W I TC H T H E R M A L M A N A G E M E N T DesignFeature Temperature—ºC by a liquid-nitrogen-fed temperature 5. A cross-sectional PIN diode control unit. switch model can provide valuModel results can now be com- able insight when considering pared to thermal images. Discrepan- results of a transient response. cies can be compensated by adjusting inputs to the simulation, creating PIN diodes. Combined a calibrated thermal model for the with the electrical heat part under analysis. Once such a calgenerated by the diode as ibrated model has been constructed, the product of the current the effects of changing factors, such squared and resistance (P = I2R), this probe locations in the example. as epoxies/adhesives, material geresults in 64 W of dissipated heat at To help with the model developometry/properties/orientation, and the PIN diode, specifically in the inment, the on-cycle thermal rise reboundary conditions, may be ex- trinsic region. For this example, con- sponse of a PIN diode can be charplored very quickly on the computer sider a pulse duration of 715 ms and acterized by the equation: model, eliminating the need for long a duty cycle of 22 percent. ΔTM = PDθ(1-e-t/τ) time spent to physically rebuild and The first step in analyzing a PIN test each new switch configuration. diode switch under these conditions where After a design is optimized using is to calibrate a thermal analysis ΔTM = the temperature rise above simulations, and a physical protomodel according to a known CW the heat-sink temperature,3 type of the unit is built, the results power input condition that can be PD = the power dissipation, may then be verified by means of verified in the test laboratory. The θ = the thermal resistance, and thermal imaging of the prototype. selection of this CW power level can τ = the thermal time constant. Figure 4 shows the thermal analysis be made by calculating the average results for a switch consisting of four power that the switch sees under The off-cycle thermal decay can shunt PIN diodes with an uneven pulsed conditions, although differ- be characterized by the equation: ent levels may be used if they help power dissipation across the diodes. In some thermal modeling efforts, to simplify the test setup. After the TJ = TS + ΔTM(e-t/ ) it may be tempting to use the ther- model is fine-tuned and calibrated, a where mal rise from device base to junc- transient input may be entered into TJ = the junction temperature and the model. At this time, having the tion (θjc), as reported on PIN diode TS = the heat-sink temperature. discrete 3D model of the PIN diode data sheets, to calculate the thermal geometry is a very valuable asset. By rise through the diode, and omit the The above equations are based setting up probes at various spots on ideal, controlled scenarios and component model from a computerwithin the model, it is possible to should be considered, but do not aided thermal analysis. However, track the thermal response at those govern the response of a complithe details contained in a cross seclocations. Figure 6 plots temperature cated system assembly with more tion of a model (Fig. 5) will provide valuable insight when considering as a function of time for different complex geometry and properties. results of a transient reHowever, it should be notsponse. ed that the influence of the +110 For many high-power longer thermal time con+100 PIN diode switch applicastant of the housing geom+90 tions, the worst-case heat etry initially results in mini+80 dissipation occurs in a mal temperature recovery +70 pulsed-power condition. of the housing after each +60 For very short duration pulse cycle—compared to +50 pulses, the transient rethe thermal time constant sponse cannot be captured of the diode that allows it +40 +30 using thermal imaging to recover relatively quick0 20 40 60 equipment. Consider a PIN ly. The stored heat in the Time—ms diode switch with 2800-W housing affects the transient response of each subinput power and 0.1-dB 6. This plot shows temperature as a function of time for the example insertion loss, all of which switch, using 2800 W input power at pulse duration of 715 ms and duty sequent cycle, such that the initial on-pulse temperature is assumed to occur at the cycle of 22 percent. 3537_MWRF_MICRO.indd 3 6/8/10 10:04 AM P I N S W I TC H T H E R M A L M A N A G E M E N T DesignFeature profile may have higher temperatures. Under certain conditions, this may cause thermal runaway; however the response may also reach a pulse-to-pulse equilibrium. Figure 7 shows some typical thermal profiles occurring at the end of the power-on portion of the cycle and the end of the power-off portion, respectively. Using a thermal imaging camera, only the temperatures on the outer surfaces seen by the camera can be read. Due to the typical fine geometry of the p-region thickness, the model’s Tmax and Tjunction values are considered to be the same. As a quick check, the average temperature as seen on the thermal imaging camera is compared to the average maximum temperature from the model results. If the thermal response is carefully characterized by analyzing model results, then a relationship between the boundary temperature, average temperature, and peak temperature can be established. A test technician or engineer can then monitor, using thermal imaging, the average temperature of a pulsed condition and estimate of the peak tempera- ture levels that will occur but cannot be measured. This sort of capability can be utilized to increase the confidence of maintaining peak temperatures below the +150oC Tjunction high-reliability limit. Accurate, proven thermal models may be modified easily such that the limiting factors of power levels, pulse duration, duty cycle, and boundary conditions may all be manipulated to define matrices of maximum conditions for given designs. This technology helps drive the boundaries of high-power PIN diode switch design outward. High-power switch designs at Micronetics typically undergo this thermal management process of modeling and imaging. Imaging helps to fine tune the models for improved accuracy. Every new design, no matter how benign, will undergo a thermal image as a pre- 7. These are typical thermal profiles occurring at the end of the power-on and power-off portions of a pulsed duty cycle. cautionary measure as sometimes an unexpected element in a design will get hot under high-power conditions. Sometimes this can be as simple as a ground return coil or current-limiting resistor, not necessarily a critical element such as a PIN diode. For some critical programs, thermal imaging is part of the Acceptance Test Procedure (ATP) so 100 percent of the products will be imaged. REFERENCES 1. M. Asheghi, K Kurabayashi, R. Kasnavi, and K.E. Goodson, “Thermal Conduction in Doped Single-Crystal Silicon Films,” Journal of Applied Physics, Vol. 91, No. 8, April 15, 2002, pp. 5097-5088. 2. M. G. Burzo, P. L. Komarov, and P. E. Raad, “Non-Contact Thermal Conductivity Measurements of P-Doped and N-Doped Gold-Covered Natural and Isotropically Pure Silicon and their Oxides,” Department of Mechanical Engineering, Southern Methodist University. 3. J. F. White, Microwave Semiconductor Engineering, J. F. White Publications, 1995. Copyright © 2010 by Penton Media, Inc. 3537_MWRF_MICRO.indd 4 6/8/10 10:04 AM
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