Claims:The scope of the invention is defined by the following claims: Claims: 1. A method of wireless power transfer sytem based on magnetic resonant coupling is used to polong the lifetime of energy-limited devices for short-distance transmission in the three-coil system. a) To maximize the harvested power, a novel optimization problem is to determine the location of laterally misaligned relay coil. b) Although this problem is non-convex, we obtain the optimal solution in the form of roots of ten degree polynominal with the help of alternate optimization c) The non-trival claims and provide insights on optimal location of relay coil for different system parameters are verified using brute-force method 2. According to claim 1, the lateral misalignment toleration is enchance in the three-coil magnetic resonant coupling based wireless power transfer system by optimizing the location of relay coil. 3. As per Claim 1, the utility of optimally locating the relay coil in three-coil MR-WPT system. 4. As mentioned in Claim1, the analysis of harvested power and mutual inductance, followed by the problem formulation. 5. As per Claim 1, the location of misaligned relay coil has been obtained using alternate optimization for the three-coil MR-WPT system. , Description:Field of Invention The present invention relates to, copyright marking of a optimal misaligned relay coil position in magnetic resonance based power transfer (MR-WPT). Previous research has primarily focused on how to improve transmission efficiency over greater distances when the transmitter and receiver are ideally aligned along a single axis. The invention relates the use of an optimal relay coil always favorable for enhancing the received harvested power of WPT system even when it is severely laterally misaligned with the relay coil. Background of the invention The transmitting (TX) and receiving (RX) coils of magnetic resonance-based wireless power transfer (MR-WPT) system are intended to resonate at the operational frequency, resulting in a high-efficiency energy channel for power transfer. Previous research has primarily focused on how to improve transmission efficiency over greater distances when the transmitter and receiver are ideally aligned along a single axis. Many approaches to improving transmission efficiency have been proposed, including the use of intermediate resonant coils (J Kim,et.al.,[2011], IEEE Antennas and Wireless Propagation Letters, 10, pp. 389-392). The implementation of soft-switching for powerdevices ( T.Hosotani and I. Awai,[2012], IEEE MTT-S International Microwave Workshop Series on Innovative Wireless Power Transmission: Technologies, Systems, and Applications, pp. 235-238),the optimization of coil structure and parameters (O.Jonah et. al.,[2013], IEEE Wireless Power Transfer (WPT), pp. 5-8), and so on. However, in some applications, including as medical implants and mobile phone charging devices, the spatial scales of coils, such as transmission distance, lateral misalignment, and angular misalignment, may vary at random depending on the surroundings. The mutual inductance of coils will change as their spatial scales change, causing output power and transmission efficiency to fluctuate. As a result, being able to forecast the system's misalignment tolerance and describe the geometric boundaries of steady operation is crucial.WPT has recently examined the usage of relays in order to improve system efficiency and operating distance (J. Lee et.al.,[2017], IEEE Transactions on Power Electronics, 32(5), pp. 3297-3300).The best impedance matching and increased stability utilising an intermediate relay were investigated (K. Lee et. al.,[2017], IEEE Microwave and Wireless Components Letters,27(5), pp.521-523).Despite the fact that the use of relays in WPT has been thoroughly researched, most earlier works have assumed that the resonators are properly aligned, because the performance of WPT can be seriously harmed by lateral and angular misalignment between resonators (K. A. Kalwar et.al.,[2018], Measurements,118,pp.237-245). A three-coil power transmission system for implanted devices offers many technical benefits. The third, buffer coil increases efficiency of power transmission between the trans mitter coil and receiver coil. It also allows another set of design parameters with which to work so that a receiver coil (or transmitter coil) may be sized for Small, constrained spaces. A three-coil structure can tolerate larger misalignments in the X-Y plane between coils than a two-coil structure (US9281119). A three-coil system can help in many types of implants, Such as intraocular, cortical, and spinal implants(US9078743). It can be used for imaging, displays, cameras, drug delivery devices, pressure transducers, and other uses that depend on electrical power. In the present innovative invention, is addressed on the WPT output power and efficiency that can be achieved (US10251780). We also focused on optimal location of misaligned relay coil which is identified by fixing the TX-RX coils. With the optimal location, we keep on moving the location of the source coil away from the laterally misaligned relay coil till the power constraint satisfied i.e., to maximize the minimum power deliverable to the destination coil over a target region. The objective of this invention is to investigate the optimal location for the laterally misaligned relay coil in the three-coil MR-WPT system. Although the laterally misaligned relay location problem is highly non-convex and nonlinear, we still have been able to obtain the optimal solution in terms of higher degree polynomial. Based on alternate optimization, we are able to obtain the optimal location of relay coil with a specific lateral misalignment. Summary of Invention This patent discuss about the utility of optimally locating the misaligned relay coil in the commonly used in the three-coil MRC-WPT system. Although the problem was non-convex, we numerically obtained the optimal location using alternate optimization as solution of the ten degree polynomial equation. Also, a tight closed-form approximation for the optimal location is proposed to gain analytical insights using alternate optimization. Numerical results verify the global optimality claim and provide insights on the optimal location for various system parameters using brute-force method. Lastly, we noticed that in contrast to the conventional cooperative communication, the optimum misaligned relay coil location in MRC-WPT system is closer to destination. MRC-WPT has a lot of applications for the short-range communication which include electric vehicles, wireless chargers for electrical devices, and medical implants. This proposed relay placement optimization technique can further enhance the utility of this technology as shown in simulation results. The outcomes of this work can be used for finding the optimal location of the relay coils in more advanced applications of MRC-WPT which involve magnetic beamforming and multiple relay coils. Detailed description of the invention Fig. 1 shows the configuration of a MR-WPT system consists of a source coil (S), destination coil (D), and relay coil (R). The parameters α_j, N_(j ), and φ_j denote the outer radius, the number of turns, and rotation angle around z-axis, respectively, where j={1,2,3}. Here, the subscripts {1,2,3} indicate S, R, and D, respectively. In addition d_{j,(j+1)} is the distance between resonators j and (j+1). ∆ and θ represent the degree of lateral and angular misalignments of R, respectively. The WPT system is represented by equivalent circuit model, as shown in Fig. 2, in which an alternating voltage source V_s and a source resistor R_s, are linked to S, while a load resistor R_L connected to D. A self inductance and a parasitic resistance for resonator j is denoted by L_j and R_j, respectively, and a lumped capacitance, C_j, is connected to resonator j in series to ensure all the resonators have the same resonant frequency, f_0=1/(2π√(L_1 L_2 )) and k_(j(j+1))≜M_(j(j+1))/√(L_j L_((j+1)) ). To describe the relationship between the transmission characteristics and the spatial scales directly, it is important to obtain the mutual inductance formulas in arbitrary spatial scales. This can be realized by solving the double integral in Neumann’s formula . M_(j(j+1))=(μ_0 α_j α_((j+1)))/4π ∯▒(sin φ_j φ_((j+1)) cos θ+cosφ_j φ_((j+1)))/(r_(j,(j+1))^0.5 ) dφ_j dφ_((j+1)) (1) Where r_(j,(j+1))=α_j^2+α_((j+1))^2+d_(j,(j+1))^2+∆^2-2∆α_j cosφ_j+2α_((j+1) ) (∆〖 cos φ〗_((j+1) ) cosθ-d_j(j+1) sin θ〖 cos φ〗_((j+1) ) )-2α_j α_((j+1) ) (〖 cos φ〗_j 〖 cos φ〗_((j+1) ) cosθ+〖 sin φ〗_j 〖 sin φ〗_((j+1) ) ). (2) To reduce complex form, we obtained simplified eq.(1) and eq. (2) by considering all the coil radius having same size and there is no angular misalignment (i.e., θ=0). M_(j(j+1))=(πμ_0 α^2)/〖(∆^2+d_j(j+1)^2)〗^2 . (3) We consider d is the transmission distance from S to R and D is the end-to-end transmission distance between S and D. We assume that D is relatively large and there is no direct S -to- D inductive link due to flux linkage between coils. Hence , R is placed on line-of-sight path between S and D. From (3), we get 〖 M〗_12^2=〖π^2 μ_0^2 α〗^2/〖(∆^2+d^2)〗^2 ; k_12^2=(M_12^2)/(L_1 L_2 ). (4) 〖 M〗_23^2=〖π^2 μ_0^2 α〗^2/〖(∆^2+〖(D-d)〗^2)〗^2 ; k_23^2=(M_23^2)/(L_2 L_3 ). (5) The amount of harvested power available at D, on the other hand, can be calculated by multiplying the source voltage V_(s )by the PTE: 〖 P〗_D^H=(A〖k_12^2 k〗_23^2)/〖(1+Bk_12^2+Ck_23^2)〗^2 . (6) Where A≜(P_S Q_1 Q_2^2 Q_3L^(2 ))/Q_L , B≜Q_1 Q_2 , C≜Q_2 Q_3L , P_s=(V_S^2)/(2(R_1+R_s)) is available power from source. Subsitute (4) and (5) in (6) , we get 〖 P〗_D^H in simplified form, which is mentioned in (7) as below: 〖 P〗_D^H=〖c_1 〖(∆^2+〖(D-d)〗^2)〗^2 (∆^2+d^2)〗^2/〖〖(〖(∆^2+〖(D-d)〗^2)〗^2 (∆^2+d^2)〗^2+c_2 〖(∆^2+〖(D-d)〗^2)〗^2+〖c_3 (∆^2+d^2)〗^2)〗^2 . (7) where c_1≜Aa_1 a_2, c_2≜Ba_1, c_3≜Ca_2, and in turn a_1≜(π^2 μ_0^2 α^4)/(L_1 L_2 ), a_2≜(π^2 μ_0^2 α^4)/(L_2 L_3 ) , A≜(P_S Q_1 Q_2^2 Q_3L^2)/Q_L , B=Q_1 Q_2 , and C=Q_2 Q_3L. The underlying optimization problem (P_1) can be mathematically formulated as below: (P_1): maximize_(d,∆ ) P_D^H , subject to (C1) : 0