Page 24 - Fuel Cell Student Edition
P. 24

Where:                                              Where:


                    PE = potential energy of the rover                  E    =  the total mechanical energy needed
                                                                         interval
                                                                               in each interval to move the rover
                    m = mass of the rover
                                                                               from one point to the next
                    g = gravitational acceleration of the moon
                                                                        PE interval  = potential energy for the interval
                      h =  height of the rover relative to the
                         last point                                     KE interval  = kinetic energy for the interval
                                                                        Er =  the energy required to overcome the
                                                                            rolling resistance between two points
             The kinetic energy of the rover is:


                                                                 The electrical to mechanical energy conversion
                                                                 process is 82% efficient. To find the equivalent
                                                                 electrical energy to be supplied by the fuel cell, use
                                                                 the following equation:
             Where:

                                                                                          E interval
                    KE = kinetic energy of the rover                       EE interval  =
                                                                                        Efficiency
                    m = mass of the rover

                    v = velocity of the rover                    Where:


                                                                        EE interval  =  electrical energy required in the
             The rolling energy loss is:                                        interval

                                                                        E     =  the total mechanical energy in each
                                                                         interval
                                                                               interval
                                                                        Efficiency =  82% electrical to mechanical
             Where:                                                                conversion efficiency

                    m = mass of the rover
                                                                 The fuel cell provides a constant rate of power
                    g = gravitational acceleration of the moon
                                                                 delivery. To compute the energy delivered by the
                    µ =  coefficient of friction between rover   fuel cell in each interval, use the following formula:
                       wheel and moon
                                                                                              t
                    s =  distance traveled by the rover                       E fuel cell  = P fuel cell * interval
                       in this interval
                                                                 Where:
                      = slope of the terrain at the rover
                                                                        E    =  the energy delivered by the fuel cell
                                                                         fuel cell
                                                                               in the interval
             The total energy in each interval can now be
             calculated by summing all of the energies needed:          P fuel cell  =  the power delivered during the
                                                                               interval by the fuel cell
                       E     = PE     + KE    + E                       t    = the time interval between two points
                        interval  interval  interval  r                 interval




              24   TOTAL REDOX™ – FUEL CELLS                                                                                                                                                                 TOTAL REDOX™ – FUEL CELLS   25
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