“…It is worth observing that Eq. (1), with different analytical forms, holds also in case other numerical integration techniques are used [1]. As a consequence of this representation, the relevant model is composed of a constant conductance in parallel with a current source (see Fig.…”
Section: Famnm Representation Of the Switchmentioning
confidence: 99%
“…The idea of FAMNM is the discrete-time representation of the switch with a constant impedance model [1,[7][8][9]. Such an approach assumes that the equivalent model of the ideal switch is piecewise linear and could be represented by a capacitance when it is open and an inductance when it is closed.…”
Section: Famnm Representation Of the Switchmentioning
confidence: 99%
“…As a result, the nodal admittance matrix will remain unchanged during switching operations as the switch state only affects the value of the shunt current source. The current source associated with the switch at the simulation step n + 1 is defined as According to [1], one approach for determining the value of G s is to select C s and L s equal to the corresponding real switch parameters. Then, the values of G s and t could be determined using (1).…”
Section: Famnm Representation Of the Switchmentioning
confidence: 99%
“…The current source associated with the switch at the simulation step n + 1 is defined as According to [1], one approach for determining the value of G s is to select C s and L s equal to the corresponding real switch parameters. Then, the values of G s and t could be determined using (1). However, the main drawback of this approach is that the required simulation time step might become extremely small resulting in prohibitive computational times.…”
Section: Famnm Representation Of the Switchmentioning
confidence: 99%
“…To this end, discrete circuit models for switching devices were proposed in [1,7,8]. The basic idea is that the switch could be represented by a relatively small inductance when its state is 'closed' and by a relatively small capacitance when its state is 'open'.…”
a b s t r a c tThis paper proposes a novel method for the optimal parameter selection of the discrete-time switch model used in circuit solvers that adopt the fixed admittance matrix nodal method (FAMNM) approach. As known, FAMNM-based circuit solvers allow to reach efficient computation times, in particular for realtime simulation applications, since they do not need the inversion of the circuit nodal admittance matrix. However, these solvers need to optimally tune the so-called discrete switch conductance, since this parameter might largely affect the simulations accuracy. Within this context, we propose a method for the determination of the discrete-time switch conductance which is obtained by minimizing the distance between the eigenvalues of the original circuit's nodal admittance matrix with those associated with the circuit including the discrete-time switches. The method is proven to provide values of the discrete-time switch conductance that maximize the simulation accuracy and minimize the losses on this artificially introduced parameter. Additionally, the proposed method avoids the use of trial-and-error process typically required when discrete-time switch conductances need to be addressed in FAMNM approach. The performances of the proposed method are demonstrated for circuits with single and multiple switches in which passive RLC elements and transmission lines are both considered.
“…It is worth observing that Eq. (1), with different analytical forms, holds also in case other numerical integration techniques are used [1]. As a consequence of this representation, the relevant model is composed of a constant conductance in parallel with a current source (see Fig.…”
Section: Famnm Representation Of the Switchmentioning
confidence: 99%
“…The idea of FAMNM is the discrete-time representation of the switch with a constant impedance model [1,[7][8][9]. Such an approach assumes that the equivalent model of the ideal switch is piecewise linear and could be represented by a capacitance when it is open and an inductance when it is closed.…”
Section: Famnm Representation Of the Switchmentioning
confidence: 99%
“…As a result, the nodal admittance matrix will remain unchanged during switching operations as the switch state only affects the value of the shunt current source. The current source associated with the switch at the simulation step n + 1 is defined as According to [1], one approach for determining the value of G s is to select C s and L s equal to the corresponding real switch parameters. Then, the values of G s and t could be determined using (1).…”
Section: Famnm Representation Of the Switchmentioning
confidence: 99%
“…The current source associated with the switch at the simulation step n + 1 is defined as According to [1], one approach for determining the value of G s is to select C s and L s equal to the corresponding real switch parameters. Then, the values of G s and t could be determined using (1). However, the main drawback of this approach is that the required simulation time step might become extremely small resulting in prohibitive computational times.…”
Section: Famnm Representation Of the Switchmentioning
confidence: 99%
“…To this end, discrete circuit models for switching devices were proposed in [1,7,8]. The basic idea is that the switch could be represented by a relatively small inductance when its state is 'closed' and by a relatively small capacitance when its state is 'open'.…”
a b s t r a c tThis paper proposes a novel method for the optimal parameter selection of the discrete-time switch model used in circuit solvers that adopt the fixed admittance matrix nodal method (FAMNM) approach. As known, FAMNM-based circuit solvers allow to reach efficient computation times, in particular for realtime simulation applications, since they do not need the inversion of the circuit nodal admittance matrix. However, these solvers need to optimally tune the so-called discrete switch conductance, since this parameter might largely affect the simulations accuracy. Within this context, we propose a method for the determination of the discrete-time switch conductance which is obtained by minimizing the distance between the eigenvalues of the original circuit's nodal admittance matrix with those associated with the circuit including the discrete-time switches. The method is proven to provide values of the discrete-time switch conductance that maximize the simulation accuracy and minimize the losses on this artificially introduced parameter. Additionally, the proposed method avoids the use of trial-and-error process typically required when discrete-time switch conductances need to be addressed in FAMNM approach. The performances of the proposed method are demonstrated for circuits with single and multiple switches in which passive RLC elements and transmission lines are both considered.
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