16-08-2012, 03:37 PM
DISTRIBUTED PARAMETER SYSTEMS ECn 5241
1DISTRIBUTED.ppt (Size: 426.5 KB / Downloads: 43)
Objectives
Give an idea about DISTRIBUTED PARAMETER SYSTEMS and LUMP PARAMETER SYSTEMS with examples
Discuss about Del () operator and it associated functions
Discuss, analysis of divergence theorem, stroke’s theorem and helmholtz’s theorem with examples
DPS & LPS
DPS
Distributed parameter system is a system which the Parameters of system vary according to space and time, these system can be described mathematically by Partial Differential Equations.
Ex.; Transmission lines, Velocity of the fluid, Temperature of the fluid at different points, Fluid pressure... Etc.
LPS
The lump parameter system is a system witch reaches each element simultaneously. There is no propagation time, that mean lump parameters are always depend on the space.
Ex:- RLC circuit model, Hybrid parameters in electronic system.
However, if the frequency is so high that the length of the cable is of the same order of magnitude as the wavelength of the signal this obviously won't work, simply because phenomena like standing waves (and more generally impedance mismatch) become important. Then we have to use distributed parameters to describe the cable and properties like the impedance is now a function of position Z(x), i.e. the parameters are distributed.
The line voltage V(x) and the current I(x) can be expressed in the frequency domain as
1DISTRIBUTED.ppt (Size: 426.5 KB / Downloads: 43)
Objectives
Give an idea about DISTRIBUTED PARAMETER SYSTEMS and LUMP PARAMETER SYSTEMS with examples
Discuss about Del () operator and it associated functions
Discuss, analysis of divergence theorem, stroke’s theorem and helmholtz’s theorem with examples
DPS & LPS
DPS
Distributed parameter system is a system which the Parameters of system vary according to space and time, these system can be described mathematically by Partial Differential Equations.
Ex.; Transmission lines, Velocity of the fluid, Temperature of the fluid at different points, Fluid pressure... Etc.
LPS
The lump parameter system is a system witch reaches each element simultaneously. There is no propagation time, that mean lump parameters are always depend on the space.
Ex:- RLC circuit model, Hybrid parameters in electronic system.
However, if the frequency is so high that the length of the cable is of the same order of magnitude as the wavelength of the signal this obviously won't work, simply because phenomena like standing waves (and more generally impedance mismatch) become important. Then we have to use distributed parameters to describe the cable and properties like the impedance is now a function of position Z(x), i.e. the parameters are distributed.
The line voltage V(x) and the current I(x) can be expressed in the frequency domain as