  Surface dielectric barrier discharge (SDBD) actuators driven by the Pulsed-DC
voltages are analyzed. The Pulsed-DC SDBD studied in this work is equivalent to
a classical SDBD driven by a tailored Fast-Rise-Slow-Decay (FRSD) voltage
waveform. The plasma channel formation and charge production process in the
voltage rising stage are studied at different slopes using a classical 2D fluid
model, the thrust generated in the voltage decaying stage is studied based on
an analytical approach taking 2D model results as the input. A thrust pulse is
generated in the trailing edge of the voltage waveform and reaches maximum when
the voltage decreases by approximately the value of cathode voltage
fall~($\approx$600~V). The time duration of the rising and trailing edge, the
decay rate and the amplitude of applied voltage are the main factors affecting
the performance of the actuator. Analytical expressions are formulated for the
value and time moment of peak thrust, the upper limit of thrust is also
estimated. Higher voltage rising rate leads to higher charge density in the
voltage rising stage thus higher thrust. Shorter voltage trailing edge, in
general, results in higher value and earlier appearance of the peak thrust. The
detailed profile of the trailing edge also affects the performance. Results in
this work allow us to flexibly design the FRSD waveforms for an SDBD actuator
according to the requirements of active flow control in different application
conditions.
