18-03-2011, 11:40 AM
Presented by:
RAVI KUMAR. A & RAMA CHANDRA. M
[attachment=10473]
History of Wireless Power:
In 1899, Sir Nikola Tesla Proposed a method of Wireless Power Transmission.
As it is in Radiative mode, most of the Power was wasted and has less efficiency.
The efficient midrange power transfer concept is Witricity. In this model source and load are in Magnetic resonance so there is no power loss.
Need of Witricity:
Now a days there is a Rapid development of autonomous electronics like Laptops, Cell-phones, House-hold robots and all those devices typically rely on chemical energy storage(Battery) As they are becoming daily needs to present generation, Wire less energy transfer would be useful for many applications as above and they need midrange energy.
Basic Principle:
The basic principle involved in Witricity concept is, Two objects having same resonating frequency and in Magnetic resonance at Strongly coupled regime tend to exchange energy , while dissipating relatively little energy to the extraneous off-resonant objects.
Experimental Design:
Our experimental scheme consists of two Self-resonant coils. One coil (source coil) is coupled inductively to an oscillating circuit; the other (device coil) is coupled inductively to a resistive load. Self-resonant coils rely on the interplay between distributed inductance and distributed capacitance to achieve resonance.
Range & Rate of Coupling:
Using Coupled Mode Theory (CMT), we can give some frame work to the system. The field system of the two resonant objects 1, 2 is
F(r,t)=a1(t)F1®+a2(t)F2®
Where F1,2® are the resonating modes of 1 and 2 alone, and then the field amplitudes a1(t) and a2(t).The lower order representation of the system is given by :
Where ω1, 2 are the individual frequencies, Γ1, 2 are the Resonance widths (Decay rates) due to the objects’ intrinsic (absorption, radiation etc.) losses, and ‘κ’ is the coupling coefficient .
The solution of the equation show that at exact resonance at
ω1=ω2 and Γ1=Γ2
the normal modes of the combined system are split by 2κ.
The energy exchange between the two objects takes place in time Pi/κ and is nearly perfect, apart for losses, which are minimal when the coupling rate is much faster than all loss rates (κ>> Γ1, 2).
It is exactly this ratio {κ /sqrt (Γ1, 2)} shows that, it will set as figure-of-merit for any system under consideration for wireless energy-transfer, along with the distance over which this ratio can be achieved.
The desired optimal regime {κ/sqrt (Γ1,2)>>1} is called “Strong-Coupling” regime. There is No change in Energy, unless κ/Γ>>1 is true.
Design of parameters:
The coupled mode theory plays a vital role in solving the lower order equations of the system. Using perturbation technique of
x(t)=A cos(ω 0t)+ B sin(ω 0t)
The solution of this equation is by including decay rate due to loss Γ0
X(t)=C exp(-i ω 0t)exp(-t/ Γ0)
Why the Perturbation technique??
All these fields are by Damped oscillator. The details of the damping mechanism is unknown to us, but the rate of energy loss due to damping known and it is small. So perturbation technique is the approach to solve these equations when the details is unknown to us. To solve the above equation considered a laser cavity and loss rates due to absorption and radiation is taken into account and finally found that κ/Γ ratio is proportional to the quality factor.
Formulation for Simulation:
Consider two loops at distance D between their centers, radius r1 and r2 of conducting wire with circular cross-section of radius ‘a’ and diameter ‘d’.via a dielectric of relative permittivity ε and everything surrounded by air.
To calculate the RLC parameters used the method called Finite-Element Frequency-Domain (FEFD) simulations (for Maxwell’s equations solving purpose) and Perturbation methods, we get the following formulae.
Simulation model Using COMSOL:
Simulation Performance:
à By the basic parameters, calculated results and performance given with and Without the External object in between the coils
Advantages:
☼ Unaffected by the day night cycle, weather or seasons.
☼ This is an eco friendly system..
☼ It is boon for the devices which uses midrange power
Limitations:
☼ The resonance condition should be satisfied and if any error exists, there is no possibility of power transfer.
☼ If there is any possibility of very strong ferromagnetic material presence causes low power transfer due to radiation.
RAVI KUMAR. A & RAMA CHANDRA. M
[attachment=10473]
History of Wireless Power:
In 1899, Sir Nikola Tesla Proposed a method of Wireless Power Transmission.
As it is in Radiative mode, most of the Power was wasted and has less efficiency.
The efficient midrange power transfer concept is Witricity. In this model source and load are in Magnetic resonance so there is no power loss.
Need of Witricity:
Now a days there is a Rapid development of autonomous electronics like Laptops, Cell-phones, House-hold robots and all those devices typically rely on chemical energy storage(Battery) As they are becoming daily needs to present generation, Wire less energy transfer would be useful for many applications as above and they need midrange energy.
Basic Principle:
The basic principle involved in Witricity concept is, Two objects having same resonating frequency and in Magnetic resonance at Strongly coupled regime tend to exchange energy , while dissipating relatively little energy to the extraneous off-resonant objects.
Experimental Design:
Our experimental scheme consists of two Self-resonant coils. One coil (source coil) is coupled inductively to an oscillating circuit; the other (device coil) is coupled inductively to a resistive load. Self-resonant coils rely on the interplay between distributed inductance and distributed capacitance to achieve resonance.
Range & Rate of Coupling:
Using Coupled Mode Theory (CMT), we can give some frame work to the system. The field system of the two resonant objects 1, 2 is
F(r,t)=a1(t)F1®+a2(t)F2®
Where F1,2® are the resonating modes of 1 and 2 alone, and then the field amplitudes a1(t) and a2(t).The lower order representation of the system is given by :
Where ω1, 2 are the individual frequencies, Γ1, 2 are the Resonance widths (Decay rates) due to the objects’ intrinsic (absorption, radiation etc.) losses, and ‘κ’ is the coupling coefficient .
The solution of the equation show that at exact resonance at
ω1=ω2 and Γ1=Γ2
the normal modes of the combined system are split by 2κ.
The energy exchange between the two objects takes place in time Pi/κ and is nearly perfect, apart for losses, which are minimal when the coupling rate is much faster than all loss rates (κ>> Γ1, 2).
It is exactly this ratio {κ /sqrt (Γ1, 2)} shows that, it will set as figure-of-merit for any system under consideration for wireless energy-transfer, along with the distance over which this ratio can be achieved.
The desired optimal regime {κ/sqrt (Γ1,2)>>1} is called “Strong-Coupling” regime. There is No change in Energy, unless κ/Γ>>1 is true.
Design of parameters:
The coupled mode theory plays a vital role in solving the lower order equations of the system. Using perturbation technique of
x(t)=A cos(ω 0t)+ B sin(ω 0t)
The solution of this equation is by including decay rate due to loss Γ0
X(t)=C exp(-i ω 0t)exp(-t/ Γ0)
Why the Perturbation technique??
All these fields are by Damped oscillator. The details of the damping mechanism is unknown to us, but the rate of energy loss due to damping known and it is small. So perturbation technique is the approach to solve these equations when the details is unknown to us. To solve the above equation considered a laser cavity and loss rates due to absorption and radiation is taken into account and finally found that κ/Γ ratio is proportional to the quality factor.
Formulation for Simulation:
Consider two loops at distance D between their centers, radius r1 and r2 of conducting wire with circular cross-section of radius ‘a’ and diameter ‘d’.via a dielectric of relative permittivity ε and everything surrounded by air.
To calculate the RLC parameters used the method called Finite-Element Frequency-Domain (FEFD) simulations (for Maxwell’s equations solving purpose) and Perturbation methods, we get the following formulae.
Simulation model Using COMSOL:
Simulation Performance:
à By the basic parameters, calculated results and performance given with and Without the External object in between the coils
Advantages:
☼ Unaffected by the day night cycle, weather or seasons.
☼ This is an eco friendly system..
☼ It is boon for the devices which uses midrange power
Limitations:
☼ The resonance condition should be satisfied and if any error exists, there is no possibility of power transfer.
☼ If there is any possibility of very strong ferromagnetic material presence causes low power transfer due to radiation.
