Kirchoff’s current law Kirchoff’s voltage law 1.METHOD Current law Magnetic energy, electric energy, virtual work. Lagrange equation 2. METHOD Modeling.

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Presentation transcript:

Kirchoff’s current law Kirchoff’s voltage law 1.METHOD Current law Magnetic energy, electric energy, virtual work. Lagrange equation 2. METHOD Modeling Methods of Electric Circuits In this course, 2 th Method will be applied.

Passive Elements BASIC ELECTRIC CIRCUIT ELEMENTS - + Active Elements L C R x Disp. (m) x Vel. (m/s) x Acc. (m/s 2 ) m Mass (kg) k Spring const. (N/m) c Damp. const. (Ns/m) f Force (N) q Charge (Coulomb) i Current (Amper) L Inductance (Henry) 1/C C:Capacitance (Farad) R Resistance (Ohm) V Voltage (Volt)... Mechanical-Electrical Analogy General coordinates General charges Lagrange equation

x Disp. (m) x Vel. (m/s) x Acc. (m/s 2 ) m Mass (kg) k Spring cons. (N/m) c Damp. Cons. (Ns/m) f Force (N) θ Angular pos. (rad) θ Angular vel. (rad/s) θ Ang. acc. (rad/s 2 ) I G mass m. ineratia (kg-m 2 ) K r Rot. Spring const. (Nm/rad) C r Rot. damp. const. Nm/(rad/s) M Moment (Nm) q Charge (Coulomb) i Current (Amper) L Induc. (Henry) 1/C C:Capac. (Farad) R Resistance (Ohm) V Voltage (Volt) V f Volume (m 3 ) Q f Flow rate (m 3 /s) I f Fluid inertia (kg/m 4 ) 1/C f C f :Fluid capacitance R f Fluid resistance P Pressure (N/m 2 ) H t Heat (Joule) Q t Heat flow rate (J/s) 1/C t C t :Thermal capacitance R t Thermal resistor T Temp. ( o C).... Analogy in Mechanical (trans.-rot.), Electrical, Fluid, Thermal Systems

f Force (N) M Moment (Nm) V Voltage (Volt) P Pressure (N/m 2 ) T Temperature ( o C) c Damp. const. (Ns/m) C r Rot. damp. const. Nm/(rad/s) R Resistor (Ohm) R f Fluid resistance R t Heat resistor k Spring const. (N/m) K r Rot. spring const. (Nm/rad) 1/C C:Capacitance (Farad) 1/C f C f : Fluid capacitance 1/C t C t :Heat capacitance m Mass (kg) I G Mass moment of inertia (kg-m 2 ) L Inductance (Henry) I f Fluid inertia (kg/m 4 ) E1E1 E2E2