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The thermal stability of multifinger bipolar transistors has been analyzed theoretically. Coupled equations are solved to study the onset of instability and its dependence on the distributions of ballasting resistors. Analytical expressions were derived for the emitter ballasting distribution for optimum stable operation. Compared to conventional methods with uniform ballasting, the optimized design can significantly increase the stable operating current of the transistor. An absolutely stable operating condition is also derived. At this condition, the device never becomes unstable.

The thermal stability of multifinger bipolar transistors has been analyzed theoretically. Coupled equations are solved to study the onset of instability and its dependence on the distributions of ballasting resistors. We extended our previous work on the multiple-finger transistor thermal stability from the simple coupled thermal-electrical feedback equation to the more accurate -equation and taking the temperature dependence of the thermal conductivity into consideration. Transistors with three-fingers and -fingers have been analyzed. Two design procedures, uniform current design and uniform temperature design, of the best ballasting resistor distribution for optimum thermal stability operation were developed. Using these design flows, we can design the best ballasting resistor needed for thermal stable operation under the specified current level or specified junction temperature.Index Terms-Ballasting resistor, coupling current-voltage ( -) equations, heterojunction bipolar transistor, multifinger transistor, temperature dependent thermal conductivity, thermal effect.

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