Home » Articles » Theoretical papers » Coilgun calculations |

We often need to suggest a value of current in a coil of gauss-gun i ≈ (E·v)/(U·l) The formula is precise when its components are constant. Thus, it works best for middle and last coils of multistage accelerator fed by common capacitor, where velocity and voltage change negligbly.
It is sometimes necessary to determine a moment of time when curent in a coil achieves its maximal value. This moment is described by the next complicated equation (as it is shown
where is capacitive constant of the circiut, inductive constant, damping factor, R, C, L - resistance, capacitance and inductance, respectively, arth - hyperbolic arctangent ( Fortunately, this formula can be substantially simplified for strongly overdamped systems, where Alas, decomposing the equation above to Taylor series and neglecting the second-order terms, we have just:
If a closeable switch circuit is utilized, it is necessary to properly choose a value of damping resistor in R-D-chian which limits the inductive voltage spike.
It can be made as following. Maximum current obtained in U is initial cap voltage, _{0}R - active resistance of the chain including wire, switch resistance, parasitic elements etc). Then the voltage spike on the switch makes no more than _{L}Uk =U._{0}+i_{max}R_{D}=U_{0}+U_{0}·R_{D}/R_{L}Thus, the damping resistance is
| |||

Views: 180 | |

Total comments: 0 | |

| |