Method and System for Verifying Low-Frequency Oscillation Damping Control Effect of GPSS

Abstract

Disclosed are a method and system for verifying a low-frequency oscillation damping control effect of a governor power system stabilizer (GPSS), relating to the technical field of power systems. The method includes: selecting a wiring working condition for a fault-free disconnection test, and constructing a unit test working condition; performing the fault-free disconnection test on an outgoing line of a power plant, and collecting an electromagnetic power fluctuation recording curve; and comparing low-frequency oscillation damping effects under different GPSS settings, evaluating the effects, and performing a cyclic test. A success rate of the test is increased, safety of the test is improved, and the overall stability and anti-oscillation capacity of the system are improved in the disclosure.

Claims

1. A method for verifying a low-frequency oscillation damping control effect of a governor power system stabilizer (GPSS), comprising: selecting a wiring working condition for a fault-free disconnection test, and constructing a unit test working condition; performing the fault-free disconnection test on an outgoing line of a power plant, and collecting an electromagnetic power fluctuation recording curve of a unit; and comparing low-frequency oscillation damping effects under different GPSS settings, evaluating the effects, and performing a cyclic test.

2. The method for verifying a low-frequency oscillation damping control effect of a GPSS according to claim 1, wherein the selecting a wiring working condition for a fault-free disconnection test comprises determining equivalent impedance, and analyzing stability of a system; wherein equivalent impedance of a plurality of lines is calculated, an influence of impedance and reactance of the lines on the system is comprehensively evaluated, resistance and the reactance of all the lines are summed, the equivalent impedance is calculated through weighted averaging in combination with apparent power of the lines, a fine adjustment parameter is introduced, and a sign of power of each line is corrected; the equivalent impedance is expressed as: Z eq = .Math. i = 1 n ( 1 R i + jX i ) .Math. "\[LeftBracketingBar]" .Math. i = 1 n S i .Math. "\[RightBracketingBar]" + .Math. sign ( .Math. i = 1 n P i ) Z.sub.eq denotes the equivalent impedance of the system, R.sub.i denotes resistance of an ith line, X.sub.i denotes reactance of the ith line, S.sub.i denotes apparent power of the ith line, denotes the fine adjustment parameter, sign denotes a sign function, and P.sub.i denotes power of the ith line; the stability of the system is analyzed, the stability of the system is measured on the basis of a real part of an eigenvalue of the system, and the smaller the real part of the eigenvalue is, the higher the stability of the system is; and an eigenvalue of a system matrix is solved, and a minimum value of the real part is taken as a system stability index, which is expressed as: sys = min ( Re ( i ) ) .sub.sys denotes the eigenvalue of the system, .sub.i denotes an ith eigenvalue, and Re denotes the real part.

3. The method for verifying a low-frequency oscillation damping control effect of a GPSS according to claim 2, wherein the constructing a unit test working condition comprises configuring outputs of the units; wherein a total output of all the units is calculated based on a base output of each unit, a dynamic adjustment factor is introduced, and an output fluctuation of the units in practical operation is simulated, which is expressed as: P total = .Math. j = 1 m ( P j , base .Math. ( 1 + A j .Math. sin ( t + j ) 100 ) ) P.sub.total denotes the total output of all the units, P.sub.j,base denotes a base output of a jth unit, A.sub.j denotes an amplitude of an output fluctuation of the jth unit, denotes an angular frequency, .sub.j denotes a phase of the jth unit, m denotes a number of the units, and t denotes a time; and based on sensitivity of each unit to a control parameter and an influence of the equivalent impedance of the system on the total output, a control parameter setting is obtained by minimizing a derivative square sum of the output of each unit to the control parameter in combination with a derivative square sum of the equivalent impedance to the total output, which is expressed as: K opt = arg min K ( .Math. j = 1 m ( P j K ) 2 + Z eq .Math. ( P total K ) 2 ) K.sub.opt denotes the control parameter.

4. The method for verifying a low-frequency oscillation damping control effect of a GPSS according to claim 3, wherein the performing a test on fault-free disconnection of an outgoing line of a power plant comprises evaluating an electromagnetic power fluctuation degree; wherein a power fluctuation in a case of disconnection is simulated based on the total output and in combination with the dynamic adjustment factor, an amplitude of the power fluctuation is dynamically adjusted in combination with the eigenvalue of the system during a simulation of the power fluctuation, and a response characteristic of the system in the case of the disconnection is reflected; the fluctuation degree is quantified by calculating a variance of the power fluctuation, and the greater the variance is, the severer the power fluctuation is, and the worse the stability of the system is; and a variance of power fluctuation within an entire period is calculated on the basis of an integration, and stability of the system in the case of the disconnection is evaluated, which is expressed as: P ( t ) = P total ( 1 + k .Math. e - t .Math. sin ( t + ) + .Math. cos ( t 2 ) + 1 + e t ) sys P 2 = 1 T 0 T ( P ( t ) - P _ ) 2 dt P(t) denotes power at a time t, k denotes an attenuation coefficient, a denotes an exponential attenuation constant, denotes a fluctuation frequency, denotes a phase angle, denotes a correction coefficient, denotes a nonlinear coefficient, denotes a time constant, P 2 denotes the variance of the power fluctuation, T denotes the period, and P denotes average power.

5. The method for verifying a low-frequency oscillation damping control effect of a GPSS according to claim 4, wherein the collecting an electromagnetic power fluctuation recording curve of a unit comprises analyzing the response characteristic of the system; wherein a root mean square voltage is calculated, a voltage fluctuation condition of the system within the entire period is acquired, a power fluctuation curve is simulated in combination with a sine function and a smoothing parameter, the variance of the power fluctuation is corrected, and the power fluctuation of the system in the case of the disconnection is reflected, which is expressed as: V rms = 1 T 0 T v ( t ) 2 dt + .Math. 0 T .Math. "\[LeftBracketingBar]" dv ( t ) dt .Math. "\[RightBracketingBar]" dt P ( t ) = P total ( sin ( t ) 1 + exp ( - ( t - T / 2 ) ) + P 2 1 + e - t ) V.sub.rms denotes the root mean square voltage, v(t) denotes a voltage at a time t, denotes a weighting coefficient, P(t) denotes a power fluctuation at the time t, denotes the smoothing parameter, and K denotes a time constant.

6. The method for verifying a low-frequency oscillation damping control effect of a GPSS according to claim 5, wherein the comparing low-frequency oscillation damping effects under different GPSS settings comprises calculating a damping ratio; wherein damping effects of the system under different control parameters are quantified, a frequency offset is calculated in combination with an initial frequency offset, a natural frequency of the system, a damping oscillation frequency, and correction of the power fluctuation curve, and response characteristics of the system under different control parameters are reflected by dynamically adjusting the frequency offset, which is expressed as: = c 2 m 1 k 1 + .Math. 0 e - pt .Math. "\[LeftBracketingBar]" sin ( t ) .Math. "\[RightBracketingBar]" dt + V rms 1 + e - t f ( t ) = f 0 .Math. e - n t .Math. ( cos ( d t ) + n d sin ( d t ) ) + P ( t ) 1 + e - vt denotes the damping ratio, c denotes a damping coefficient, m.sub.1 denotes mass, k.sub.1 denotes stiffness, denotes an integration coefficient, denotes a time attenuation coefficient, f(t) denotes a frequency offset at the time t, f.sub.0 denotes the initial frequency offset, .sub.n denotes the natural frequency of the system, .sub.d denotes the damping oscillation frequency, denotes a time constant, and v denotes an attenuation factor.

7. The method for verifying a low-frequency oscillation damping control effect of a GPSS according to claim 6, wherein the evaluating the effects, and performing a cyclic test comprise optimizing the control parameter; wherein a damping ratio variation amount is calculated by comparing a new damping ratio with an old damping ratio, the new damping ratio is calculated according to latest test data, the old damping ratio is a base value before optimization, the damping ratio variation amount reflects an influence of the GPSS on the stability of the system under a current configuration, in a case that the variation amount is positive and greater than a threshold, it is indicated that a damping enhancement effect of the GPSS is effective, the test is ended, and in a case that the variation amount is negative or less than a threshold, a lead-lag parameter of the stabilizer is optimized, and the test is repeated, which is expressed as: = n - o If < t then lead - lag = lead - lag ( 1 + d d lead - lag .Math. lead - lag ) denotes the damping ratio variation amount, .sub.n denotes the new damping ratio, .sub.o denotes the old damping ratio, .sub.t denotes a damping enhancement effect threshold, lead - lag denotes an adjusted lead-lag time constant, .sub.lead-lag denotes an original lead-lag time constant, d.sub.lead-lag denotes a derivative of the damping ratio to the lead-lag time constant, and .sub.lead-lag denotes a lead-lag time constant variation amount.

8. A system employing the method for verifying a low-frequency oscillation damping control effect of a GPSS according to claim 1, comprising a test working condition module, a test collection module, and a comparison and evaluation module; wherein the test working condition module is configured to select a wiring working condition for a fault-free disconnection test, and construct a unit test working condition; the test collection module is configured to perform the fault-free disconnection test on an outgoing line of a power plant, and collect an electromagnetic power fluctuation recording curve of a unit; and the comparison and evaluation module is configured to compare low-frequency oscillation damping effects under different GPSS settings, evaluate the effects, and perform a cyclic test.

9. A computer apparatus, comprising a memory and a processor, wherein the memory stores a computer program, and the processor implements steps of the method for verifying a low-frequency oscillation damping control effect of a GPSS according to claim 1 when executing the computer program.

10. A computer-readable storage medium, storing a computer program, wherein the computer program implements steps of the method for verifying a low-frequency oscillation damping control effect of a GPSS according to claim 1 when executed by a processor.

Description

BRIEF DESCRIPTION OF DRAWINGS

[0027] In order to describe the technical solution in examples of the disclosure more clearly, a brief description of the accompanying drawings required for describing the examples will be provided below. Obviously, the accompanying drawings in the following description show merely some examples of the disclosure. Those of ordinary skill in the art can also derive other accompanying drawings from these accompanying drawings without creative efforts. Specifically:

[0028] FIG. 1 is an overall flowchart of a method for verifying a low-frequency oscillation damping control effect of a governor power system stabilizer (GPSS) according to a first example of the disclosure;

[0029] FIG. 2 is a schematic diagram of a wiring working condition for a fault-free disconnection test of a method for verifying a low-frequency oscillation damping control effect of a GPSS according to a second example of the disclosure;

[0030] FIG. 3 shows a simulated electromagnetic power fluctuation curve of an undisconnected line after fault-free disconnection of an outgoing line of a power plant of the method for verifying a low-frequency oscillation damping control effect of a GPSS according to the second example of the disclosure;

[0031] FIG. 4 shows simulated electromagnetic power fluctuation curves of different units after the fault-free disconnection of the outgoing line of a power plant of the method for verifying a low-frequency oscillation damping control effect of a GPSS according to the second example of the disclosure;

[0032] FIG. 5 shows a mathematic model a governor power system stabilizer of the method for verifying a low-frequency oscillation damping control effect of a GPSS according to the second example of the disclosure; and

[0033] FIG. 6 is an overall module diagram of a system for verifying a low-frequency oscillation damping control effect of a GPSS according to a third example of the disclosure.

DETAILED DESCRIPTION OF THE EMBODIMENTS

[0034] In order to make the above objectives, features, and advantages of the disclosure clearer and more understandable, particular embodiments of the disclosure will be described in detail below in conjunction with the drawings of the description. Apparently, examples described are some examples rather than all examples of the disclosure. Based on the examples of the disclosure, all other examples derived by those of ordinary skill in the art without creative efforts fall within the scope of protection of the disclosure.

Example 1

[0035] With reference to FIG. 1, a method for verifying a low-frequency oscillation damping control effect of a governor power system stabilizer (GPSS) according to an example of the disclosure is shown. The method includes:

[0036] S1: a wiring working condition for a fault-free disconnection test is selected, and a unit test working condition is constructed.

[0037] More further, the step that a wiring working condition for a fault-free disconnection test is selected includes equivalent i impedance is determined, and stability of a system is analyzed.

[0038] It should be noted that equivalent impedance of a plurality of lines is calculated, an influence of impedance and reactance of the lines on the system is comprehensively evaluated, resistance and the reactance of all the lines are summed, the equivalent impedance is calculated through weighted averaging in combination with apparent power of the lines, a fine adjustment parameter is introduced, and a sign of power of each line is corrected; the equivalent impedance is expressed as:

[00011] Z eq = .Math. i = 1 n ( 1 R i + jX i ) .Math. "\[LeftBracketingBar]" .Math. i = 1 n S i .Math. "\[RightBracketingBar]" + .Math. sign ( .Math. i = 1 n P i )

[0039] Z.sub.eq denotes the equivalent impedance of the system, R.sub.i denotes resistance of an ith line, X.sub.i denotes reactance of the ith line, S.sub.i denotes apparent power of the ith line, denotes the fine adjustment parameter, sign denotes a sign function, and P.sub.i denotes power of the ith line; the stability of the system is analyzed, the stability of the system is measured on the basis of a real part of an eigenvalue of the system, and the smaller the real part of the eigenvalue is, the higher the stability of the system is; and an eigenvalue of a system matrix is solved, and a minimum value of the real part is taken as a system stability index, which is expressed as:

[00012] sys = min ( Re ( i ) )

[0040] .sub.sys denotes the eigenvalue of the system, .sub.i denotes an ith eigenvalue, and Re denotes the real part.

[0041] More further, the step that a unit test working condition is constructed includes outputs of the units are configured.

[0042] It should be noted that a total output of all the units is calculated based on a base output of each unit, a dynamic adjustment factor is introduced, and an output fluctuation of the units in practical operation is simulated, which is expressed as:

[00013] P total = .Math. j = 1 m ( P j , base .Math. ( 1 + A j .Math. sin ( t + j ) 1 0 0 ) )

[0043] P.sub.total denotes the total output of all the units, P.sub.j,base denotes a base output of a jth unit, A.sub.j denotes an amplitude of an output fluctuation of the jth unit, denotes an angular frequency, .sub.j denotes a phase of the jth unit, m denotes a number of the units, and t denotes a time; and based on sensitivity of each unit to a control parameter and an influence of the equivalent impedance of the system on the total output, a control parameter setting is obtained by minimizing a derivative square sum of the output of each unit to the control parameter in combination with a derivative square sum of the equivalent impedance to the total output, which is expressed as:

[00014] K opt = arg min K ( .Math. j = 1 m ( P j K ) 2 + Z eq .Math. ( P total K ) 2 )

[0044] K.sub.opt denotes the control parameter.

[0045] S2: the fault-free disconnection test is performed on an outgoing line of a power plant, and an electromagnetic power fluctuation recording curve of a unit is collected.

[0046] More further, the step that the fault-free disconnection test is performed on an outgoing line of a power plant includes an electromagnetic power fluctuation degree is evaluated.

[0047] It should be noted that a power fluctuation in a case of disconnection is simulated based on the total output and in combination with the dynamic adjustment factor, an amplitude of the power fluctuation is dynamically adjusted in combination with the eigenvalue of the system during a simulation of the power fluctuation, and a response characteristic of the system in the case of the disconnection is reflected; the fluctuation degree is quantified by calculating a variance of the power fluctuation, and the greater the variance is, the severer the power fluctuation is, and the worse the stability of the system is; and a variance of power fluctuation within an entire period is calculated on the basis of an integration, and stability of the system in the case of the disconnection is evaluated, which is expressed as:

[00015] P ( t ) = P total ( 1 + k .Math. e - t .Math. sin ( t + ) + .Math. cos ( t 2 ) + sys 1 + e - t ) P 2 = 1 T 0 T ( P ( t ) - P ) 2 dt [0048] P(t) denotes power at a time t, k denotes an attenuation coefficient, denotes an exponential attenuation constant, denotes a fluctuation frequency, denotes a phase angle, denotes a correction coefficient, denotes a nonlinear coefficient, denotes a time constant,

[00016] P 2

denotes the variance of the power fluctuation, T denotes the period, and P denotes average power.

[0049] More further, the step that an electromagnetic power fluctuation recording curve of a unit is collected includes a response characteristic of the system is analyzed.

[0050] It should be noted that a root mean square voltage is calculated, a voltage fluctuation condition of the system within the entire period is acquired, a power fluctuation curve is simulated in combination with a sine function and a smoothing parameter, the variance of the power fluctuation is corrected, and the power fluctuation of the system in the case of the disconnection is reflected, which is expressed as:

[00017] V r m s = 1 T 0 T v ( t ) 2 dt + .Math. 0 T .Math. "\[LeftBracketingBar]" dv ( t ) dt .Math. "\[RightBracketingBar]" dt P ( t ) = P total ( sin ( t ) 1 + exp ( - ( t - T / 2 ) ) + P 2 1 + e - t )

[0051] V.sub.rms denotes the root mean square voltage, v(t) denotes a voltage at a time t, denotes a weighting coefficient, P(t) denotes a power fluctuation at the time t, denotes the smoothing parameter, and denotes a time constant.

[0052] S3: low-frequency oscillation damping effects under different GPSS settings are compared, the effects are evaluated, and a cyclic test is performed.

[0053] More further, the step that low-frequency oscillation damping effects under different GPSS settings are compared includes a damping ratio is calculated.

[0054] It should be noted that damping effects of the system under different control parameters are quantified, a frequency offset is calculated in combination with an initial frequency offset, a natural frequency of the system, a damping oscillation frequency, and correction of the power fluctuation curve, and response characteristics of the system under different control parameters are reflected by dynamically adjusting the frequency offset, which is expressed as:

[00018] = c 2 m 1 k 1 + .Math. 0 e - pt .Math. "\[LeftBracketingBar]" sin ( t ) .Math. "\[RightBracketingBar]" dt + V rms 1 + e - t f ( t ) = f 0 .Math. e - n t .Math. ( cos ( d t ) + n d sin ( d t ) ) + P ( t ) 1 + e - vt

[0055] denotes the damping ratio, c denotes a damping coefficient, m.sub.1 denotes mass, k.sub.1 denotes stiffness, denotes an integration coefficient, denotes a time attenuation coefficient, f(t) denotes a frequency offset at the time t, f.sub.0 denotes the initial frequency offset, .sub.n denotes the natural frequency of the system, .sub.d denotes the damping oscillation frequency, denotes a time constant, and v denotes an attenuation factor.

[0056] More further, the step that the effects are evaluated, and a cyclic test is performed includes the control parameter is optimized.

[0057] It should be noted that a damping ratio variation amount is calculated by comparing a new damping ratio with an old damping ratio, the new damping ratio is calculated according to latest test data, the old damping ratio is a base value before optimization, the damping ratio variation amount reflects an influence of the GPSS on the stability of the system under a current configuration, in a case that the variation amount is positive and greater than a threshold, it is indicated that a damping enhancement effect of the GPSS is effective, the test is ended, and in a case that the variation amount is negative or less than a threshold, a lead-lag parameter of the stabilizer is optimized, and the test is repeated, which is expressed as:

[00019] = n - o If < t then lead - lag = lead - lag ( 1 + d d lead - lag .Math. lead - lag )

[0058] denotes the damping ratio variation amount, .sub.n denotes the new damping ratio, .sub.o denotes the old damping ratio, .sub.t denotes a damping enhancement effect threshold,

[00020] lead - lag

denotes an adjusted lead-lag time constant, .sub.lead-lag denotes an original lead-lag time constant, d.sub.lead-lag denotes a derivative of the damping ratio to the lead-lag time constant, and .sub.lead-lag denotes a lead-lag time constant variation amount.

Example 2

[0059] With reference to FIGS. 2-5, a method for verifying a low-frequency oscillation damping control effect of a GPSS according to an example of the disclosure is shown. In order to verify the beneficial effects of the disclosure, scientific demonstration is performed through simulation experiments.

[0060] The schematic diagram of th working condition selected in the example is shown in FIG. 2. There are 2 outgoing lines between the power plant and an alternating current system, 3 units are operated in the power plant, outputs of the 3 units in the power plant are kept consistent, and rated power is between 80% and 90%. Moreover, primary frequency modulation, single-unit automatic generation control (AGC), and single-unit automatic voltage control (AVC) are deactivated. A hardware device of the GPSS is mounted in a G3 unit, and an excitation power system stabilizer (EPSS) function is kept in an activated state. No hardware device of the GPSS is mounted in a G1 unit, and an EPSS function are in a deactivated state. No hardware device of the GPSS is mounted in a G2 unit, but an EPSS function is in an activated state. One outgoing line of the power plant is disconnected, and an electromagnetic power fluctuation condition of the other line is observed. A simulated electromagnetic power fluctuation curve of the undisconnected line is shown in FIG. 3. After fault-free disconnection of the outgoing line of the power plant, electromagnetic power fluctuation curves of different units are collected through a phasor measurement unit (PMU) or a recording device. Simulated electromagnetic power fluctuation curves of the 3 units are shown in FIG. 4.

[0061] It can be seen from FIG. 4 that damping on a low-frequency oscillation of G2 with an EPSS is obviously enhanced compared with G1 without an EPSS, while damping on a low-frequency oscillation of G3 with the GPSS is further enhanced compared with G2. If a damping enhancement effect of the GPSS is not obvious, a lead-lag parameter in FIG. 5 is optimized, and the test is repeated until a damping enhancement requirement is satisfied.

Example 3

[0062] With reference to FIG. 6, a system for verifying a low-frequency oscillation damping control effect of a GPSS according to an example of the disclosure is shown. The system includes a test working condition module, a test collection module, and a comparison and evaluation module.

[0063] The test working condition module is configured to select a wiring working condition for a fault-free disconnection test, and construct a unit test working condition; the test collection module is configured to perform the fault-free disconnection test on an outgoing line of a power plant, and collect an electromagnetic power fluctuation recording curve of a unit; and the comparison and evaluation module is configured to compare low-frequency oscillation damping effects under different GPSS settings, evaluate the effects, and perform a cyclic test.

[0064] If implemented in a form of a software function unit and sold or used as an independent product, a function can be stored in a computer-readable storage medium. Based on such understanding, the technical solution of the disclosure in essence, the part that contributes to the prior art, or part of the technical solution can be embodied in a form of a software product. The computer software product is stored in a storage medium and includes several instructions configured to enable a computer apparatus (which can be a personal computer, a server, a network apparatus, etc.) to execute all or some of the steps of the method in each example of the disclosure. The foregoing storage medium includes various media capable of storing a program code, such as a universal serial bus (USB) flash disk, a mobile hard disk, a read-only memory (ROM), a random access memory (RAM), a magnetic disk, and an optical disk.

[0065] The logic and/or steps denoted in the flowcharts or described in other ways herein, for example, can be deemed as a sequenced list of executable instructions for implementing logical functions, and can be specifically implemented in any computer-readable medium for use by or in conjunction with an instruction execution system, device, and apparatus (such as a computer-based system, a system with a processor, and other systems that can fetch the instructions from the instruction execution system, device, and apparatus, and execute the instructions). In terms of the description, the computer-readable medium can be any device that can encompass, store, communicate with, propagate, or transmit a program for use by or in conjunction with the instruction execution system, device, or apparatus.

[0066] More specific instances of the computer-readable medium (non-exhaustively) include an electrical connection portion (an electronic device) having one or more wires, a portable computer disk cartridge (a magnetic device), a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM) or a flash memory, an optical fiber device, a portable compact disk read-only memory (CD-ROM). In addition, the computer-readable medium can even be paper or another suitable medium on which the program can be printed given that the program can be obtained electronically, for example, by optically scanning the paper or another medium, and then performing editing, interpreting, or processing in another suitable way as necessary, and finally the program can be stored in a computer memory.

[0067] It should be understood that each part of the disclosure can be implemented through hardware, software, firmware, or their combinations. In the above embodiments, various steps or methods can be implemented through software or firmware stored in memory and executed by a suitable instruction execution system. For example, if implemented through hardware, as in another embodiment, various steps or methods can be implemented through any one or combinations of the following technologies known in the art: a discrete logic circuit having a logic gate circuit for implementing a logic function on a data signal, an application-specific integrated circuit having a suitable combinational logic gate circuit, a programmable gate array (PGA), a field programmable gate array (FPGA), etc. It should be noted that the above examples are merely used to explain the technical solution of the disclosure, and are not intended to limit the disclosure. Although the disclosure is described in detail with reference to the preferred examples, those of ordinary skill in the art should understand that they can make modifications or equivalent substitutions to the technical solution of the disclosure without departing from the spirit and scope of the technical solution of the disclosure. These modifications or equivalent substitutions should fall within the scope of the claims of the disclosure.

[0068] It should be noted that the above examples are merely used to explain the technical solution of the disclosure, and are not intended to limit the disclosure. Although the disclosure is described in detail with reference to the preferred examples, those of ordinary skill in the art should understand that they can make modifications or equivalent substitutions to the technical solution of the disclosure without departing from the spirit and scope of the technical solution of the disclosure. These modifications or equivalent substitutions should fall within the scope of the claims of the disclosure.