|
Site Visited 501966 times | Page Visited 186 times | You are in : Etantonio/EN/Universita/4anno/TeoriaCircuiti/ |
Synthesis of passive nets 1) Stiffness driving-point of one net and functions of energy: The equations of Kirchoff to the nodes can be written in
matriciale shape
2) Property of functions LC driving-point: The zeroes are found on the axis jw in fact placing
3) Synthesis of functions LC driving-point: to) Methods of Foster If we must synthetize one function If we must instead synthetize one function The methods of Foster are canonical realizations in how much use the minimal possible number of elements.
b) Shapes of Cauer They are two methods bases to you on I use of the continuous fractions and on the fact that rimuovendo from a LC-realizable function a pole in the origin or a pole to the infinite still obtains one LC-realizable function
b1) removal of the poles to the infinite If ZLC(s) has a pole to the infinite the realizing circuit
has an inductance in series of
b2) removal of the poles in the origin If ZLC(s) has a pole in the origin the realizing circuit has a condenser in value series 1/a, it is removed and it is continued R-come.sopra.
4) Poles of transfer functions: For a net LC the poles of the transfer function are simple
and they are found on the axis jw, for nets RC and RL they are simple and they find on not
simple the real axis negative while for nets RLC they are ovunque and
also. All the poles of the functions driving-point are not
present in the transfer functions, those not present are said private
poles while all the poles on the axis jw of the transfer function must be present in the functions
driving-point in how much must verify the condition on residual The poles not pertaining to the axis jw can also not be present in the functions driving-point. 5) Condition of Fialkow: Every scale net of admittances pu² to be reduced to a
net p constituted from not
negative admittances by means of transformations t " p, has 6) adimensional Functions of transfer: where P(s) contains the private poles of the function
driving-point and 11N(s)
its zeroes while 21N(s)
contains the zeroes of the transfer function. The coefficients of
the numerator and those of the denominator are then subject to the
condition of Fialkow. Analogous considerations are applied then
to
7) Conditions on the real part of the parameters of one passive net: such conditions derive from the fact that a value negative of these you leave real would imply energy supplied from the net to the generator that passive net is not possible for one.
8) Zeroes of the scale nets: We consider a scale net constituted from a stiffness shunt
Z1 , a stiffness series Z2 and a passive net zij', the transfer function is
9) Synthesis of transfer functions using scale nets without losses: The polinomi of Hurwitz they have all the positive
coefficients you and not null and the zeroes are all in the left
semiplan, one they important property is that the relationship of the
equal part with the uneven part or viceversa is realizable as one
immettenza LC driving-point. Considering a net LC sluice on a
resistore the poles can be ovunque in the left semiplan therefore the
denominator of the transfer function are a polynomial of Hurwitz while
the zeroes are on the axis jw,
have
10) Synthesis of functions of transfer with zero shifting: In the case that the zeroes of the transfer function are
posizionati ovunque in symmetrical braces on the axis jw , the technique of the movement of
the zeroes is used that consists in diminishing the power of the pole to
the infinite sottraendogli a 22 amount so as to to make
thaty21 (s) andy(s) have the same zeroes . This
technique comes used in order to realize the elliptic
Chebyshev-Inverso approximations and which demand zeroes on the axis jw . In the practical one
a term Y 0 = Ksmustbe embezzled to ythe 22 (s) where 11) scale Nets without losses doubly loaded: This configuration beyond comprising the cargo 2R and the resistance innerR 1 to the generator has
also optimal property of sensibility. Siccome the inner net is
LC then Pin(jw) = Pout(jw), follows
some where
12) Scalatura of the function trasduttore: It has the scope to increase to the sensibility and the gain multiplying the function transducer for one opportune constant. |