US 10,761,123 B2Granted

Method and an apparatus for use in an electric circuit

AssigneeCity University of Hong Kong

InventorsShu Hung Henry Chung, Chun Sing Cheng, Wing Hong Lau

Life of this patent

Estimating the term…

Abstract

An apparatus and a method for use in an electric circuit. The apparatus includes a sampling module arranged to obtain an approximation of a voltage-current characteristic of at least one electrical circuit component of the electric circuit subjected to an excitation, wherein each of the at least one electrical circuit component is represented by a constant phase element in an equivalent circuit of the electric circuit; and a processing module arranged to estimate a time-domain voltage response and/or a time-domain current response based on the approximation of the voltage-current characteristic under the excitation applied to the electric circuit.

Claims16

Dependent claims

A method for use in an electric circuit, comprising the steps of:

obtaining an approximation of a voltage-current characteristic of at least one electrical circuit component of the electric circuit subjected to an excitation, wherein each of the at least one electrical circuit component is represented by a constant phase element in an equivalent circuit of the electric circuit;
and
estimating a time-domain voltage response and/or a time-domain current response based on the approximation of the voltage-current characteristic under the excitation applied to the electric circuit, wherein:
the approximation includes a combination of a plurality of discrete-time representations, each representing the voltage-current characteristic at a predetermined time period, and a plurality of voltage responses of the at least one electrical circuit component in response to a plurality of current pulses;
the approximation is a zero-order approximation or a first-order approximation, and, when the approximation is a zero-order approximation, the combination of a plurality of discrete-time representations is expressed as:
v
CPE
⁡
(
nT
)
=
T
ϕ
Γ
⁡
[
ϕ
+
1
]
⁢
C
o
⁢
∑
k
=
0
n
-
1
⁢
i
CPE
⁡
[
kT
]
⁡
[
(
n
-
k
)
ϕ
-
(
n
-
k
-
1
)
ϕ
]
+
V
o
,
and
when the approximation is a first-order approximation, the combination of the plurality of discrete-time representations is expressed as:
v
CPE
⁡
(
nT
)
=
T
ϕ
C
o
⁢
∑
k
=
0
n
-
1
⁢
{
1
Γ
⁡
[
ϕ
+
1
]
⁡
[
i
CPE
⁡
[
kT
]
⁢
(
n
-
k
)
ϕ
-
i
CPE
⁡
[
k
+
1
⁢
⁢
T
]
⁢
(
n
-
k
-
1
)
ϕ
]
+
i
CPE
⁡
[
k
+
1
⁢
⁢
T
]
-
i
CPE
⁡
[
kT
]
Γ
⁡
[
ϕ
+
2
]
⁡
[
(
n
-
k
)
ϕ
+
1
-
(
n
-
k
-
1
)
ϕ
+
1
]
}
+
V
o
,
wherein:
ϕϵ[0,1] represents a dispersion coefficient,
Co represents a capacitance value of the at least one electrical circuit component,
Γ represents a Gamma function, and
T represents the sampling period.

184 more elements

An apparatus for use in an electric circuit, comprising:

a sampling module arranged to obtain an approximation of a voltage-current characteristic of at least one electrical circuit component of the electric circuit subjected to an excitation, wherein each of the at least one electrical circuit component is represented by a constant phase element in an equivalent circuit of the electric circuit;
and
a processing module arranged to estimate a time-domain voltage response and/or a time-domain current response based on the approximation of the voltage-current characteristic under the excitation applied to the electric circuit, wherein:
the approximation includes a combination of a plurality of discrete-time representations each representing the voltage-current characteristic at a predetermined time period, and a plurality of voltage responses of the at least one electrical circuit component in response to a plurality of current pulses;
the approximation is a zero-order approximation or a first-order approximation;
when the approximation is a zero-order approximation, the combination of a plurality of discrete-time representations is expressed as:
v
CPE
⁡
(
nT
)
=
T
ϕ
Γ
⁡
[
ϕ
+
1
]
⁢
C
o
⁢
∑
k
=
0
n
-
1
⁢
i
CPE
⁡
[
kT
]
⁡
[
(
n
-
k
)
ϕ
-
(
n
-
k
-
1
)
ϕ
]
+
V
o
,
or
when the approximation is a first-order approximation, the combination of the plurality of discrete-time representations is expressed as:
v
CPE
⁡
(
nT
)
=
T
ϕ
C
o
⁢
∑
k
=
0
n
-
1
⁢
{
1
Γ
⁡
[
ϕ
+
1
]
⁡
[
i
CPE
⁡
[
kT
]
⁢
(
n
-
k
)
ϕ
-
i
CPE
⁡
[
k
+
1
⁢
⁢
T
]
⁢
(
n
-
k
-
1
)
ϕ
]
+
i
CPE
⁡
[
k
+
1
⁢
⁢
T
]
-
i
CPE
⁡
[
kT
]
Γ
⁡
[
ϕ
+
2
]
⁡
[
(
n
-
k
)
ϕ
+
1
-
(
n
-
k
-
1
)
ϕ
+
1
]
}
+
V
o
,
wherein:
ϕϵ[0,1] represents a dispersion coefficient,
Co represents a capacitance value of the at least one electrical circuit component,
Γ represents a Gamma function, and
T represents the sampling period.

185 more elements

Dependencies are inferred from the claim text.

Facts

Application: 16/345,400Filed 31 Oct 2016
Published: US 2019/0271726 A15 Sep 2019
Granted: 1 Sep 2020
Term ends: Not estimatedThe source records don’t support an estimate.

Classification4 codes

G01R 27/08
Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant: measuring…
G01R 27/02
Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom: measuring real or complex resistance,…
G01R 31/367
Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of…
G01R
Measuring electric variables

Family

US 2019/0271726 A1Pre-grant publication · published 5 Sep 2019
US 10,761,123 B2This patent

From the US filing history. Foreign family members aren’t listed.

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Abstract

Facts

Application

16/345,400Filed 31 Oct 2016

Published

US 2019/0271726 A15 Sep 2019

Granted

1 Sep 2020

Term ends

Not estimatedThe source records don’t support an estimate.

Classification4 codes

G01R 27/08
Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant: measuring…
G01R 27/02
Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom: measuring real or complex resistance,…
G01R 31/367
Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of…
G01R
Measuring electric variables