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mcdp { # We need to fly for this duration provides endurance [s] # ...while carrying this extra payload provides extra_payload [kg] # ...and providing this extra power provides extra_power [W] # Sub-design problem: choose the battery battery = instance mcdp { # A battery provides capacity provides capacity [J] # and requires some mass to be transported requires mass [kg] # requires cost [$] specific_energy_Li_Ion = 500 Wh / kg required mass provided capacity / specific_energy_Li_Ion } # Sub-design problem: actuation actuation = instance mcdp { # actuators need to provide this lift provides lift [N] # and will require power requires power [W] # simple model: quadratic c = 10.0 W/N² required power (provided lift)^2 · c } # Co-design constraint: battery must be large enough power = power required by actuation + provided extra_power energy = power · provided endurance capacity provided by battery energy # Co-design constraint: actuators must be powerful enough gravity = 9.81 m/s² weight = (mass required by battery + provided extra_payload) · gravity lift provided by actuation weight # suppose we want to optimize for size of the battery requires mass for battery }
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