TWI628901B - Method of configuring self-excited capacitors for single-phase induction generator - Google Patents
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Abstract
一種單相感應發電機的自激電容配置方法,該自激電容配置方法係包括:(a)設定複數個個體;(b)以隨機方式決定該些個體的參數;(c)藉由該些個體的參數計算每個個體的整體電壓變化率;(d)藉由每個個體的整體電壓變化率選出複數個獲選個體、複數個落選個體;(e)隨機交換每個獲選個體的其中之一參數為複數個獲選子個體,以及隨機改變至少一個落選個體的其中之一參數為至少一個突變子個體;(f)由該些獲選個體、該些獲選子個體與該些突變子個體選出一確選個體;及(g)判斷該確選個體的電壓變化率是否於一誤差收斂範圍內。 A self-excited capacitor configuration method for a single-phase induction generator, the self-excited capacitor configuration method comprising: (a) setting a plurality of individuals; (b) determining parameters of the individuals in a random manner; (c) by using the The individual's parameters calculate the overall voltage change rate of each individual; (d) select a plurality of selected individuals and a plurality of unsuccessful individuals by the overall voltage change rate of each individual; (e) randomly exchange each of the selected individuals. One of the parameters is a plurality of selected sub-individuals, and one of the parameters randomly changing at least one of the unsuccessful individuals is at least one mutant sub-population; (f) from the selected individuals, the selected sub-individuals, and the mutations The sub-individual selects an individual to be selected; and (g) determines whether the rate of change of the voltage of the selected individual is within a range of error convergence.
Description
本創作係有關一種單相感應發電機的自激電容配置方法,尤指一種應用基因演算法的單相感應發電機的自激電容配置方法。 This creation is about a self-excited capacitor configuration method for a single-phase induction generator, especially a self-excited capacitor configuration method for a single-phase induction generator using a genetic algorithm.
習知之感應電動機分單相感應電動機以及三相感應電動機,當感應電動機接在頻率為f的交流電運轉時,轉速n與交流電頻率f之間不存在同步電動機那樣的恆定的比例關係。同步轉速和轉子轉速之間有轉差,轉差率通常介於3%到10%。當感應電動機外加一動力,使得感應電動機的轉速超過同步轉速時,則會變成發電機。感應發電機因具有一些同步發電機所沒有的優點,諸如結構簡單、價錢便宜、維護費低以及沒有直流激磁裝置。所以感應發電機很適合於一些較小型的發電設備上,像風力發電機、小型的水力發電機以及引擎帶動的發電機等等。對於偏遠地區及特殊場所的用電而言,不失為一種良好的選擇。 The conventional induction motor is divided into a single-phase induction motor and a three-phase induction motor. When the induction motor is connected to an alternating current operation of frequency f, there is no constant proportional relationship between the rotational speed n and the alternating current frequency f. There is a slip between the synchronous speed and the rotor speed, and the slip is usually between 3% and 10%. When the induction motor is added with a power such that the speed of the induction motor exceeds the synchronous speed, it becomes a generator. Induction generators have advantages that are not found in synchronous generators, such as simple construction, low cost, low maintenance costs, and no DC excitation devices. Therefore, induction generators are well suited for some smaller power generation equipment, such as wind turbines, small hydroelectric generators, and engine-driven generators. For the use of electricity in remote areas and special places, it is a good choice.
感應機的電容自激現象雖然早在50~60年前就被發現了,但由於無法提出有效的方法來控制負載端電壓的變動,所以較不受到大家的重視。一直到近年來,由於綠能科技的抬頭,才陸續有關自激感應發電機(SEIG)的研究以及應用。首先,因為感應發電機具有一些同步發電機所沒有的優點,例如單位 成本低、結構堅固、不需直流激磁、沒有電刷(鼠籠型轉子)以及維護費低等等。因此,感應發電機用於偏遠的鄉下地區,做為獨立的發電設備,有著不錯的發電功效。所以,目前的感應發電機被認為是一種相當不錯的小型發電設備。 Although the self-excitation of the capacitance of the induction machine was discovered as early as 50 to 60 years ago, it is not worthy of attention because it cannot propose an effective method to control the voltage fluctuation of the load terminal. Until recently, due to the rise of Green Energy Technology, research and application of self-excited induction generators (SEIG) have continued. First, because induction generators have some advantages that are not available in synchronous generators, such as units. Low cost, rugged construction, no DC excitation, no brushes (squirrel cage rotor) and low maintenance costs. Therefore, the induction generator is used in remote rural areas as an independent power generation device with good power generation. Therefore, the current induction generator is considered to be a fairly good small power generation equipment.
而感應發電機中,又以單相感應發電機之應用領域為最廣。但由於單相感應發電機所發出來的負載端電壓容易受到負載電流的影響,造成單相感應發電機的發電效能低落。為解決上述狀況,因此習知之單相感應發電機皆會外加自激電容器,以提升單相感應發電機的發電效能。但現有單相感應發電機之雙繞組自激磁架構中,現行決定自激電容器候選容值的方法,大多藉由利用嘗試法決定出一組適當的電容候選容值(Appropriate Value)。因此,無法達到自激電容器候選容值最佳化的結果,而無法有效降低負載端電壓的變動。 Among the induction generators, the application field of single-phase induction generators is the widest. However, since the load terminal voltage generated by the single-phase induction generator is easily affected by the load current, the power generation performance of the single-phase induction generator is low. In order to solve the above situation, the conventional single-phase induction generators are supplemented with self-excited capacitors to improve the power generation performance of the single-phase induction generator. However, in the existing dual-winding self-excitation structure of the single-phase induction generator, the current method for determining the candidate capacitance of the self-excited capacitor mostly uses a trial method to determine a suitable set of capacitance candidate values (Appropriate Value). Therefore, the result of optimizing the candidate capacitance of the self-excited capacitor cannot be achieved, and the fluctuation of the voltage at the load terminal cannot be effectively reduced.
因此,針對單相感應發電機之雙繞組自激磁架構中、最佳化並聯電容器與串聯電容器的電容候選容值。並利用強化型基因演算法為基礎,設計出一套提升感應發電機效能的的策略與方法,乃為本案創作人所欲行克服並加以解決的一大課題。 Therefore, for the single-phase induction generator, the double-winding self-excitation structure optimizes the capacitance candidate capacitance of the parallel capacitor and the series capacitor. Based on the enhanced gene algorithm, a strategy and method for improving the efficiency of induction generators is designed, which is a major problem that the creators of this case want to overcome and solve.
為了解決上述問題,本發明係提供一種單相感應發電機的自激電容配置方法,以克服習知技術的問題。因此,本發明第一實施例中,該單相感應發電機係包括一主繞組與一輔助繞組,該主繞組係串聯一串聯電容再並聯一負載,該輔助繞組係並聯一並聯電容,該自激電容配置方法係包括:(a)設定複數個個體,每個個體包含該串聯電容的候選容值與該並聯電容的候選容值。(b)以隨機方式決定該些個體的該串聯電容的候選容值與該並聯電容的候選容值。 (c)藉由每個個體的該串聯電容的候選容值與該並聯電容的候選容值計算每個個體的該負載的一第一端電壓,並藉由該第一端電壓計算每個個體的整體電壓變化率。(d)藉由每個個體的整體電壓變化率選出複數個獲選個體,未被獲選的個體為複數個落選個體。(e1)隨機交換每個獲選個體的該串聯電容的候選容值或該並聯電容的候選容值,並產生複數個獲選子個體。(e2)隨機選擇該些落選個體中的至少一個為至少一個突變子個體,並隨機改變該些突變子個體內的該串聯電容的候選容值或該並聯電容的候選容值。(f)藉由步驟(c)計算每個獲選子個體與每個突變子個體的該負載的一第二端電壓,並藉由該第二端電壓計算每個獲選子個體與每個突變子個體的整體電壓變化率。(g)排序該些獲選個體、該些獲選子個體以及該些突變子個體的整體電壓變化率之大小,並選取整體電壓變化率最小的一確選個體,並判斷該確選個體的電壓變化率是否於一誤差收斂範圍內。其中,若該確選個體的電壓變化率於該誤差收斂範圍內時,選取代表該確選個體的該串聯電容的候選容值與該並聯電容的候選容值,以作為自激電容之配置。 In order to solve the above problems, the present invention provides a self-excited capacitance configuration method of a single-phase induction generator to overcome the problems of the prior art. Therefore, in the first embodiment of the present invention, the single-phase induction generator includes a main winding and an auxiliary winding, the main winding is connected in series with a series capacitor and then connected in parallel with a load, and the auxiliary winding is connected in parallel with a parallel capacitor. The method for configuring the stimuli includes: (a) setting a plurality of individuals, each of which includes a candidate capacitance of the series capacitor and a candidate capacitance of the parallel capacitor. (b) determining the candidate capacitance of the series capacitance of the individual and the candidate capacitance of the parallel capacitance in a random manner. (c) calculating a first terminal voltage of the load of each individual by the candidate capacitance of the series capacitance of each individual and the candidate capacitance of the parallel capacitance, and calculating each individual by the first terminal voltage The overall rate of voltage change. (d) A plurality of selected individuals are selected by the overall voltage change rate of each individual, and the unselected individuals are a plurality of unsuccessful individuals. (e1) randomly selecting the candidate capacitance of the series capacitance of each selected individual or the candidate capacitance of the parallel capacitance, and generating a plurality of selected sub-individuals. (e2) randomly selecting at least one of the selected individuals to be at least one mutant individual, and randomly changing the candidate capacitance of the series capacitance or the candidate capacitance of the parallel capacitance within the individual of the mutants. (f) calculating, by step (c), a second terminal voltage of the load of each of the selected sub-individuals and each of the mutant sub-individuals, and calculating each of the selected sub-individuals and each by the second terminal voltage The overall voltage change rate of the mutant individual. (g) sorting the selected individuals, the selected sub-individuals, and the magnitude of the overall voltage change rate of the individual mutants, and selecting a selected individual having the smallest overall rate of change of the voltage, and determining the individual of the selected individual Whether the rate of voltage change is within a range of error convergence. Wherein, if the voltage change rate of the selected individual is within the error convergence range, the candidate capacitance of the series capacitor representing the selected individual and the candidate capacitance of the parallel capacitor are selected as the configuration of the self-excited capacitor.
於第一實施例中,其中步驟(g)更包括:(g1)若該確選個體的電壓變化率不在該誤差收斂範圍內時,將該些獲選個體、該些獲選子個體以及該些突變子個體設定為該些個體,並跳回步驟(c)。 In the first embodiment, the step (g) further includes: (g1) if the voltage change rate of the selected individual is not within the error convergence range, the selected individuals, the selected sub-individuals, and the Some of the mutant individuals are set to the individuals and jump back to step (c).
於第一實施例中,其中步驟(g1)之後更包括:(g2)若步驟(c)至步驟(g1)重複執行超過一最大疊代次數時,選擇該些獲選個體、該些獲選子個體以及該些突變子個體中,最接近該誤差收斂範圍的一接近個體,並選取代表該接近個體的該串聯電容的候選容值與該並聯電容的候選容值。 In the first embodiment, after the step (g1), the method further includes: (g2), if the step (c) to the step (g1) are repeatedly performed over a maximum number of iterations, the selected individuals are selected, and the selected ones are selected. Among the sub-individuals and the individual mutants, the closest individual is closest to the error convergence range, and the candidate capacitance of the series capacitance representing the proximity individual and the candidate capacitance of the parallel capacitance are selected.
於第一實施例中,其中步驟(d)更包括:(d1)將每個個體的整體電壓變化率由大至小排序,該些個體的整體電壓變化率越小,會有越大的獲選機率。 In the first embodiment, the step (d) further includes: (d1) ordering the overall voltage change rate of each individual from large to small, and the smaller the overall voltage change rate of the individuals, the greater the gain. Selection rate.
為了解決上述問題,本發明係提供一種單相感應發電機的自激電容配置方法,以克服習知技術的問題。因此,本發明第二實施例中,該單相感應發電機係包括一主繞組與一輔助繞組,該主繞組係並聯一主繞組短並聯電容再串聯一串聯電容與一負載,該輔助繞組係並聯一並聯電容,該自激電容配置方法係包括:(a)設定複數個個體,每個個體包含該主繞組短並聯電容的候選容值、該串聯電容的候選容值與該並聯電容的候選容值。(b)以隨機方式決定該些個體的該主繞組短並聯電容的候選容值、該串聯電容的候選容值與該並聯電容的候選容值。(c)藉由每個個體的該主繞組短並聯電容的候選容值、該串聯電容的候選容值與該並聯電容的候選容值計算每個個體的該負載的一第一端電壓,並藉由該第一端電壓計算每個個體的整體電壓變化率。(d)藉由每個個體的整體電壓變化率選出複數個獲選個體,未被獲選的個體為複數個落選個體。(e1)隨機交換每個獲選個體的該主繞組短並聯電容的候選容值、該串聯電容的候選容值或該並聯電容的候選容值,並產生複數個獲選子個體。(e2)隨機選擇該些落選個體中的至少一個為至少一個突變子個體,並隨機改變該些突變子個體內的該主繞組短並聯電容的候選容值、該串聯電容的候選容值或該並聯電容的候選容值。(f)藉由步驟(c)計算每個獲選子個體與每個突變子個體的該負載的一第二端電壓,並藉由該第二端電壓計算每個獲選子個體與每個突變子個體的整體電壓變化率。(g)排序該些獲選個體、該些獲選子個體以及該些突變子個體的整體電壓變化率之大小,並選取整體電壓變化率最小的一確選個體,並判斷該確選個體的電壓變化率是否於一誤差收斂範圍內。其中,若該確選個體的電壓變化率於該誤差收斂範圍內時,選取代表該確選個體的該主繞組短並聯電容的候選容值、該串聯電容的候選容值與該並聯電容的候選容值,以作為自激電容之配置。 In order to solve the above problems, the present invention provides a self-excited capacitance configuration method of a single-phase induction generator to overcome the problems of the prior art. Therefore, in the second embodiment of the present invention, the single-phase induction generator includes a main winding and an auxiliary winding, the main winding is connected in parallel with a main winding short parallel capacitor and then connected in series with a series capacitor and a load. Parallel-parallel capacitors, the self-excited capacitor configuration method includes: (a) setting a plurality of individuals, each individual including a candidate capacitance of the short-short capacitor of the main winding, a candidate capacitance of the series capacitor, and a candidate for the parallel capacitor Capacitance. (b) determining, in a random manner, the candidate capacitance of the short winding capacitance of the main winding of the individual, the candidate capacitance of the series capacitance, and the candidate capacitance of the parallel capacitance. (c) calculating, by each individual, a candidate capacitance of the short-short capacitor of the main winding, a candidate capacitance of the series capacitor, and a candidate capacitance of the parallel capacitor, calculating a first terminal voltage of the load of each individual, and The overall voltage change rate of each individual is calculated by the first terminal voltage. (d) A plurality of selected individuals are selected by the overall voltage change rate of each individual, and the unselected individuals are a plurality of unsuccessful individuals. (e1) randomly exchanging the candidate capacitance of the short winding capacitance of the main winding of each selected individual, the candidate capacitance of the series capacitance or the candidate capacitance of the parallel capacitance, and generating a plurality of selected sub-individuals. (e2) randomly selecting at least one of the selected individuals to be at least one mutant individual, and randomly changing the candidate capacitance of the short winding capacitance of the main winding in the individual of the mutant, the candidate capacitance of the series capacitance or the The candidate capacitance of the shunt capacitor. (f) calculating, by step (c), a second terminal voltage of the load of each of the selected sub-individuals and each of the mutant sub-individuals, and calculating each of the selected sub-individuals and each by the second terminal voltage The overall voltage change rate of the mutant individual. (g) sorting the selected individuals, the selected sub-individuals, and the magnitude of the overall voltage change rate of the individual mutants, and selecting a selected individual having the smallest overall rate of change of the voltage, and determining the individual of the selected individual Whether the rate of voltage change is within a range of error convergence. Wherein, if the voltage change rate of the selected individual is within the error convergence range, the candidate capacitance value of the short winding capacitor of the main winding representing the selected individual, the candidate capacitance of the series capacitor and the candidate of the parallel capacitor are selected. The capacitance is used as a configuration of the self-excited capacitor.
於第二實施例中,其中步驟(g)更包括:(g1)若該確選個體的電壓變化率不在該誤差收斂範圍內時,將該些獲選個體、該些獲選子個體以及該些突變子個體設定為該些個體,並跳回步驟(c)。 In the second embodiment, the step (g) further includes: (g1) if the voltage change rate of the selected individual is not within the error convergence range, the selected individuals, the selected sub-individuals, and the Some of the mutant individuals are set to the individuals and jump back to step (c).
於第二實施例中,其中步驟(g1)之後更包括:(g2)若步驟(c)至步驟(g1)重複執行超過一最大疊代次數時,選擇該些獲選個體、該些獲選子個體以及該些突變子個體中,最接近該誤差收斂範圍的一接近個體,並選取代表該接近個體的該主繞組短並聯電容的候選容值、該串聯電容的候選容值與該並聯電容的候選容值。 In the second embodiment, after the step (g1), the method further includes: (g2), if the step (c) to the step (g1) are repeatedly performed over a maximum number of iterations, the selected individuals are selected, and the selected ones are selected. a sub-individual and one of the mutant sub- individuals, closest to the error convergence range, and selecting a candidate capacitance value of the short-parallel capacitance of the main winding representing the proximity individual, a candidate capacitance of the series capacitance, and the parallel capacitance Candidate value.
於第二實施例中,其中步驟(d)更包括:(d1)將每個個體的整體電壓變化率由大至小排序,該些個體的整體電壓變化率越小,會有越大的獲選機率。 In the second embodiment, wherein the step (d) further comprises: (d1) ordering the overall voltage change rate of each individual from large to small, and the smaller the overall voltage change rate of the individuals, the greater the gain. Selection rate.
為了解決上述問題,本發明係提供一種單相感應發電機的自激電容配置方法,以克服習知技術的問題。因此,本發明第三實施例中,該單相感應發電機係包括一主繞組與一輔助繞組,該主繞組係串聯一串聯電容再並聯一主繞組長並聯電容與一負載,該輔助繞組係並聯一並聯電容,該自激電容配置方法係包括:(a)設定複數個個體,每個個體包含該串聯電容的候選容值、該主繞組長並聯電容的候選容值與該並聯電容的候選容值。(b)以隨機方式決定該些個體的該串聯電容的候選容值、該主繞組長並聯電容的候選容值與該並聯電容的候選容值。(c)藉由每個個體的該串聯電容的候選容值、該主繞組長並聯電容的候選容值與該並聯電容的候選容值計算每個個體的該負載的一第一端電壓,並藉由該第一端電壓計算每個個體的整體電壓變化率。(d)藉由每個個體的整體電壓變化率選出複數個獲選個體,未被獲選的個體為複數個落選個體。(e1)隨機交換每個獲選個體的該串聯電容的候選容值、該主繞組長並聯電容的候選容值或該並聯電容的候選容值,並產生複數個獲選子個體。(e2)隨機選擇該些落選個 體中的至少一個為至少一個突變子個體,並隨機改變該些突變子個體內的該串聯電容的候選容值、該主繞組長並聯電容的候選容值或該並聯電容的候選容值。(f)藉由步驟(c)計算每個獲選子個體與每個突變子個體的該負載的一第二端電壓,並藉由該第二端電壓計算每個獲選子個體與每個突變子個體的整體電壓變化率。(g)排序該些獲選個體、該些獲選子個體以及該些突變子個體的整體電壓變化率之大小,並選取整體電壓變化率最小的一確選個體,並判斷該確選個體的電壓變化率是否於一誤差收斂範圍內。其中,若該確選個體的電壓變化率於該誤差收斂範圍內時,選取代表該確選個體的該串聯電容的候選容值、該主繞組長並聯電容的候選容值與該並聯電容的候選容值,以作為自激電容之配置。 In order to solve the above problems, the present invention provides a self-excited capacitance configuration method of a single-phase induction generator to overcome the problems of the prior art. Therefore, in the third embodiment of the present invention, the single-phase induction generator includes a main winding and an auxiliary winding, the main winding is connected in series with a series capacitor and then a main winding long parallel capacitor and a load, the auxiliary winding system Parallel-parallel capacitors, the self-excited capacitor configuration method includes: (a) setting a plurality of individuals, each individual including a candidate capacitance of the series capacitor, a candidate capacitance of the main winding long parallel capacitor, and a candidate for the parallel capacitor Capacitance. (b) determining, in a random manner, a candidate capacitance of the series capacitance of the individual, a candidate capacitance of the main winding long parallel capacitance, and a candidate capacitance of the parallel capacitance. (c) calculating, by each individual, the candidate capacitance of the series capacitor, the candidate capacitance of the main winding long parallel capacitor, and the candidate capacitance of the parallel capacitor, calculating a first terminal voltage of the load of each individual, and The overall voltage change rate of each individual is calculated by the first terminal voltage. (d) A plurality of selected individuals are selected by the overall voltage change rate of each individual, and the unselected individuals are a plurality of unsuccessful individuals. (e1) randomly exchanging the candidate capacitance of the series capacitance of each selected individual, the candidate capacitance of the main winding long parallel capacitance or the candidate capacitance of the parallel capacitance, and generating a plurality of selected sub-individuals. (e2) randomly select the selected ones At least one of the bodies is at least one mutant individual, and randomly changes the candidate capacitance of the series capacitance within the individual of the mutant, the candidate capacitance of the main winding long parallel capacitance or the candidate capacitance of the parallel capacitance. (f) calculating, by step (c), a second terminal voltage of the load of each of the selected sub-individuals and each of the mutant sub-individuals, and calculating each of the selected sub-individuals and each by the second terminal voltage The overall voltage change rate of the mutant individual. (g) sorting the selected individuals, the selected sub-individuals, and the magnitude of the overall voltage change rate of the individual mutants, and selecting a selected individual having the smallest overall rate of change of the voltage, and determining the individual of the selected individual Whether the rate of voltage change is within a range of error convergence. Wherein, if the voltage change rate of the selected individual is within the error convergence range, the candidate capacitance of the series capacitor representing the selected individual, the candidate capacitance of the long winding capacitance of the main winding, and the candidate of the parallel capacitance are selected. The capacitance is used as a configuration of the self-excited capacitor.
於第三實施例中,其中步驟(g)更包括:(g1)若該確選個體的電壓變化率不在該誤差收斂範圍內時,將該些獲選個體、該些獲選子個體以及該些突變子個體設定為該些個體,並跳回步驟(c)。 In the third embodiment, the step (g) further includes: (g1) if the voltage change rate of the selected individual is not within the error convergence range, the selected individuals, the selected sub-individuals, and the Some of the mutant individuals are set to the individuals and jump back to step (c).
於第三實施例中,其中步驟(g1)之後更包括:(g2)若步驟(c)至步驟(g1)重複執行超過一最大疊代次數時,選擇該些獲選個體、該些獲選子個體以及該些突變子個體中,最接近該誤差收斂範圍的一接近個體,並選取代表該接近個體的該串聯電容的候選容值、該主繞組長並聯電容的候選容值與該並聯電容的候選容值。 In the third embodiment, after the step (g1), the method further includes: (g2) if the step (c) to the step (g1) are repeatedly performed over a maximum number of iterations, the selected individuals are selected, and the selected ones are selected. a sub-individual and one of the mutant sub- individuals, closest to the approximate convergence range of the error, and selecting a candidate capacitance of the series capacitance representing the proximity individual, a candidate capacitance of the main winding long parallel capacitance, and the parallel capacitance Candidate value.
於第三實施例中,其中步驟(d)更包括:(d1)將每個個體的整體電壓變化率由大至小排序,該些個體的整體電壓變化率越小,會有越大的獲選機率。 In the third embodiment, wherein the step (d) further comprises: (d1) ordering the overall voltage change rate of each individual from large to small, and the smaller the overall voltage change rate of the individuals, the greater the gain. Selection rate.
為了能更進一步瞭解本發明為達成預定目的所採取之技術、手段及功效,請參閱以下有關本發明之詳細說明與附圖,相信本發明之目的、特徵與特點,當可由此得一深入且具體之瞭解,然而所附圖式僅提供參考與說明用, 並非用來對本發明加以限制者。 In order to further understand the technology, the means and the effect of the present invention in order to achieve the intended purpose, refer to the following detailed description of the invention and the accompanying drawings. Specific understanding, however, the drawings are provided for reference and explanation only, It is not intended to limit the invention.
100、100A、100B‧‧‧感應發電機 100, 100A, 100B‧‧‧ induction generator
10、10A、10B‧‧‧轉子 10, 10A, 10B‧‧‧ rotor
20、20A、20B‧‧‧定子 20, 20A, 20B‧‧‧ Stator
30、30A、30B‧‧‧原動機 30, 30A, 30B‧‧‧ prime mover
21、21A、21B‧‧‧主繞組 21, 21A, 21B‧‧‧ main winding
22、22A、22B‧‧‧輔助繞組 22, 22A, 22B‧‧‧Auxiliary winding
23、23A、23B‧‧‧負載 23, 23A, 23B‧‧‧ load
Vo‧‧‧端電壓 Vo‧‧‧ terminal voltage
Vo1‧‧‧第一端電壓 Vo1‧‧‧ first terminal voltage
Vo2‧‧‧第二端電壓 Vo2‧‧‧second terminal voltage
Cse‧‧‧串聯電容 Cse‧‧‧ series capacitor
Cp‧‧‧並聯電容 Cp‧‧‧Shut capacitor
Csp‧‧‧短並聯電容 Csp‧‧‧Short shunt capacitor
Clp‧‧‧長並聯電容 Clp‧‧‧ long parallel capacitor
I‧‧‧個體 I‧‧‧ individuals
N‧‧‧數量 N‧‧‧Quantity
Is‧‧‧獲選個體 Is‧‧‧ Selected Individuals
Iu‧‧‧落選個體 Iu‧‧‧Unsuccessful individuals
Iss‧‧‧獲選子個體 Iss‧‧‧ Selected Individuals
Ims‧‧‧突變子個體 Ims‧‧‧ Mutant Individual
Ies‧‧‧確選個體 Ies‧‧‧Selected individuals
Ic‧‧‧接近個體 Ic‧‧‧ close to the individual
Rec‧‧‧誤差收斂範圍 Rec‧‧‧ error convergence range
INmax‧‧‧最大疊代次數 INmax‧‧‧Maximal iterations
VV‧‧‧電壓變化率 VV‧‧‧Vacuable rate of change
TVV‧‧‧整體電壓變化率 TVV‧‧‧ overall voltage change rate
f(k)‧‧‧適應度 f(k)‧‧‧ fitness
(S10)~(S70)‧‧‧步驟 (S10)~(S70)‧‧‧ steps
圖1係為本發明第一實施例之單相感應發電機電路結構圖;圖2係為本發明第一實施例之單相感應發電機之自激電容配置方法流程圖;圖3係為本發明第二實施例之單相感應發電機電路結構圖;圖4係為本發明第二實施例之單相感應發電機之自激電容配置方法流程圖;圖5係為本發明第三實施例之單相感應發電機電路結構圖;圖6係為本發明第三實施例之單相感應發電機之自激電容配置方法流程圖。 1 is a circuit diagram of a single-phase induction generator according to a first embodiment of the present invention; FIG. 2 is a flow chart of a self-excited capacitor configuration method for a single-phase induction generator according to a first embodiment of the present invention; FIG. 4 is a flow chart of a method for configuring a self-excited capacitor of a single-phase induction generator according to a second embodiment of the present invention; FIG. 5 is a third embodiment of the present invention; The single-phase induction generator circuit structure diagram; FIG. 6 is a flow chart of the self-excited capacitance configuration method of the single-phase induction generator according to the third embodiment of the present invention.
本發明針對三種單相感應發電機(Single-Phase Induction Generator)自激磁接線方式的串並聯自激電容候選容值,提出以強化型基因演算法(Enhanced Genetic Algorithm)為基礎的最佳自激電容配置方法,用以改善自激式單相感應發電機的電壓變化率得到最佳運轉效能。三種接線方式分別為(1)雙繞組自激磁-主繞組串聯電容器架構,(2)雙繞組自激磁-主繞組短並聯架構,(3)雙繞組自激磁-主繞組長並聯架構。 The invention proposes the optimal self-excited capacitance based on the Enhanced Genetic Algorithm for the self-excited capacitance candidate values of the self-excited connection modes of the three single-phase induction generators (Single-Phase Induction Generator). The configuration method is used to improve the voltage change rate of the self-excited single-phase induction generator to obtain the best operating efficiency. The three wiring methods are (1) double-winding self-excitation-main winding series capacitor architecture, (2) double-winding self-excitation-main winding short-parallel architecture, and (3) dual-winding self-excitation-main winding long parallel architecture.
本發明所提出的最佳自激電容配置方法是在單相感應發電機處於變動轉速與變動負載的運轉條件限制下,能將自激式單相感應發電機的負載端整體電壓變化率降至最低。電容最佳化選擇策略將以強化型基因演算法決定 輔助繞組並聯電容的最佳值與主繞組串聯電容與並聯電容的最佳值,以作為自激電容之配置。 The optimal self-excited capacitor configuration method proposed by the invention can reduce the overall voltage change rate of the load end of the self-excited single-phase induction generator under the limitation of the operating conditions of the variable-speed and variable load of the single-phase induction generator. lowest. The capacitor optimization strategy will be determined by an enhanced gene algorithm. The optimum value of the shunt capacitance of the auxiliary winding is the optimum value of the series capacitor and the shunt capacitor of the main winding as the configuration of the self-excited capacitor.
基因演算法是一種以達爾文(Darwin)的「自然進化(Natural Evolution)」和門德斯(Mendes)的「基因變異(Genetic Variation)」等理論為基礎的自適應、啟發式、隨機、全面的最佳化搜尋演算法。基因演算法經由評估、選取、交配、突變等機制,而具有高效能、平行處理、全面搜尋的特性。在基因演算法中每一個體稱做染色體(Chromosome),每一染色體的基因值是由亂數產生,而每一世代所有染色體所成的集合稱做群體(Population)。在每一世代中各個染色體互相競爭,較適合生存的染色體具有較高的適應度(Fitness value),有較高的適應度的染色體有權複製出較多的子世代,然後從其中選擇兩個染色體配對進行交配(Crossover)產生下一代個體,以期可以產生適應度更高的下一代個體。為了避免錯失某些有用的特徵,加入突變(Mutation)的處理,產生具有其他特徵的個體。如此一代一代的演化下去,最後將產生適應度最佳的個體,此個體便是基因演算法搜尋的最佳解。 Gene algorithm is an adaptive, heuristic, random, comprehensive based on Darwin's "Natural Evolution" and Mendes's "Genetic Variation" theory. Optimize the search algorithm. The gene algorithm has the characteristics of high efficiency, parallel processing and comprehensive search through mechanisms such as evaluation, selection, mating and mutation. In the gene algorithm, each individual is called a chromosome (Chromosome), and the gene value of each chromosome is generated by random numbers, and the collection of all chromosomes of each generation is called a population. In each generation, each chromosome competes with each other, and the chromosomes that are more suitable for survival have a higher fitness value. The chromosomes with higher fitness have the right to copy more sub-generations and then select two from them. Chromosome pairing for crossover produces the next generation of individuals, with a view to producing a more adaptive next generation of individuals. In order to avoid missing certain useful features, the treatment of Mutation is added to produce individuals with other characteristics. The evolution of such a generation will eventually lead to the best fitness for the individual, which is the best solution for genetic algorithm search.
而強化型基因演算法(Enhanced Genetic Algorithm,EGA)則是基因演算法的強化版,具有自適應交配和突變的功能。強化型基因演算法在搜尋最佳個體的過程中加入自適應性功能,強化型基因演算法根據個體的不同條件自適應的調整交配和突變的機率,以保持群體的多樣性並防止過早收斂,進一步能增強工作的運算速度和精確度。強化型基因演算法的最佳解搜尋可分為以下五個機制,簡要敘述如下: The Enhanced Genetic Algorithm (EGA) is an enhanced version of the gene algorithm with adaptive mating and mutation. The enhanced gene algorithm adds adaptive function in the process of searching for the best individual. The enhanced gene algorithm adaptively adjusts the probability of mating and mutation according to different conditions of the individual to maintain the diversity of the group and prevent premature convergence. Further, the operation speed and accuracy of the work can be enhanced. The optimal solution search for enhanced gene algorithms can be divided into the following five mechanisms, which are briefly described as follows:
A.初始群體 A. Initial group
初始的群體是一個潛在可行解的集合,最初的一套群體是隨機生成的,潛在可行解的集合包含了一些候選之染色體稱為個體,而每一個個體的參數具有若干基因。 The initial population is a collection of potentially feasible solutions. The initial set of populations is randomly generated. The set of potential feasible solutions contains some candidate chromosomes called individuals, and each individual's parameters have several genes.
B.評估 B. Evaluation
在群體中每一個體將由適應度函數進行評價,本發明將以單相感應發電機之整體電壓變化率(Total Voltage Variation,TVV)的補數評估在群體中每一個體的適應度。 Each individual in the population will be evaluated by a fitness function, and the present invention will assess the fitness of each individual in the population with the complement of the Total Voltage Variation (TVV) of the single phase induction generator.
C.選取 C. Select
基於適應度較高的父代會產生更好的子代的理論基礎,選取機制的目的是在目前群體中選取優秀個體,而優秀個體將有機會作為父代繁延下一代的後裔。經由選取機制,強化型基因演算法展現了優勝劣敗的達爾文的理論原則,適應度高的個體將被選取。經過選取過程後,適應度高的個體將進行交配機制,從高適應度的父代產生新一代的個體。 Based on the higher fitness of the father will produce a better theoretical basis of the offspring, the purpose of the selection mechanism is to select excellent individuals in the current group, and the outstanding individuals will have the opportunity to be the descendants of the next generation. Through the selection mechanism, the enhanced gene algorithm shows the Darwin's theoretical principles of superiority and defeat, and individuals with high fitness will be selected. After the selection process, individuals with high fitness will perform a mating mechanism to generate a new generation of individuals from a high-compatibility father.
D.交配 D. Mating
交配機制是強化型基因演算法中最重要的遺傳操作,交配機制會將兩個不同的個體在相同的選擇位置進行基因交換,然後產生一個新的個體。經由交配機制,新一代的個體結合了兩種父代的個體特徵,交配的機率是依據(1)式決定:
其中fmax為群體中各個體最大的適應度,favg是群體各個體的平均適應度,f是進行交配兩個個體的較大適應度,在實際應用中,通常K1=K3=1,Pc的值通常在0.5-1.0範圍之內。 Where fmax is the maximum fitness of each individual in the population, favg is the average fitness of each individual body, and f is the greater fitness for mating two individuals. In practical applications, usually K1=K3=1, the value of Pc Usually in the range of 0.5-1.0.
E.突變 E. Mutation
突變機制提供了一個在新一代產生其他個體特徵的機會,在突變機制中隨機選擇若干個體,然後會將選擇的個體在特定位置進行基因改變,產生一個新的個體,突變的機率是依據(2)式決定:
其中f是個別突變的適應度,在實際應用中,通常K2=K4=0.05,Pm的值通常在0.005-0.05範圍之內。 Where f is the fitness of individual mutations. In practical applications, usually K2 = K4 = 0.05, and the value of Pm is usually in the range of 0.005-0.05.
經過選取、交配與突變等機制後,將產生一個新的子代群體,這個新的子代群體將重複相同的選取、交配與突變過程,這樣的疊代過程將在已達最大疊代次數或已進入誤差值收斂標準時終止時。 After selection, mating, and mutation, a new generation of offspring will be created. This new generation will repeat the same selection, mating, and mutation processes. This iterative process will have reached the maximum number of iterations or When the error value convergence criterion has been entered, it is terminated.
本發明提出一套以強化型基因演算法為基礎的最佳自激電容配置方法,以下將分別針對(1)雙繞組自激磁-主繞組串聯電容器架構之最佳輔助繞組並聯電容器與主繞組串聯電容器配置方法、(2)單繞組自激磁-主繞組短並聯架構之最佳輔助繞組並聯電容器與主繞組短並聯串聯電容器和並聯電容器配置方法、(3)單繞組自激磁-主繞組長並聯架構之最佳輔助繞組並聯電容器與主繞組長並聯串聯電容器和並聯電容器配置方法提出詳細說明,最佳化自激電容配置之目標為使電壓變化降至最低,以提高單相感應發電機之運轉效能。 The invention proposes a set of optimal self-excited capacitor configuration method based on the enhanced gene algorithm, and the following is directed to (1) the best auxiliary winding parallel capacitor of the double-winding self-excitation-main winding series capacitor structure is connected in series with the main winding. Capacitor configuration method, (2) single-winding self-excitation-main winding short-parallel architecture, optimal auxiliary winding shunt capacitor and main winding short-parallel series capacitor and shunt capacitor configuration method, (3) single-winding self-excitation-main winding long parallel architecture The optimal auxiliary winding shunt capacitor and the main winding long parallel series capacitor and shunt capacitor configuration method are detailed. The goal of optimizing the self-excited capacitor configuration is to minimize the voltage variation to improve the operating efficiency of the single-phase induction generator. .
請參閱圖1係為本發明第一實施例之單相感應發電機電路結構圖。如圖1所示,該單相感應發電機100係為雙繞組自激磁-主繞組串聯電容器架構。該主繞組串聯電容之單相感應發電機100包括一轉子10與一定子20,且該轉子10藉由一原動機30帶動。原動機30係將該轉子10順著磁場旋轉方向拖動,並使其轉速超過同步轉速時感應電動機就進入為該感應發電機100運行。該定子20包括一主繞組21與一輔助繞組22,該主繞組21係串聯一串聯電容Cse再外接一負載23,該輔助繞組22係並聯一並聯電容Cp。如圖1所示,單相感應發電機100採用雙繞組架構。當該轉子10轉動時,會於該負載23之兩端產生端電壓Vo。因此該負載23之兩端產生端電壓Vo是依據(3)式決定: Vo=I L ×(R L +jX L ) (3) 1 is a circuit diagram of a single-phase induction generator according to a first embodiment of the present invention. As shown in FIG. 1, the single-phase induction generator 100 is a two-winding self-excited-main winding series capacitor structure. The single-phase induction generator 100 of the main winding series capacitor includes a rotor 10 and a stator 20, and the rotor 10 is driven by a prime mover 30. The prime mover 30 drives the rotor 10 in the direction of the magnetic field rotation and causes the induction motor to enter the induction generator 100 when its rotational speed exceeds the synchronous rotational speed. The stator 20 includes a main winding 21 and an auxiliary winding 22. The main winding 21 is connected in series with a series capacitor Cse and then externally connected to a load 23. The auxiliary winding 22 is connected in parallel with a parallel capacitor Cp. As shown in Figure 1, the single phase induction generator 100 employs a dual winding architecture. When the rotor 10 rotates, a terminal voltage Vo is generated across the load 23. Therefore, the terminal voltage Vo generated at both ends of the load 23 is determined according to the formula (3): V o = I L × ( R L + jX L ) (3)
其中,(3)式中的IL為負載電流,RL為負載電阻,XL為負載電抗。有關(3)式中的負載電流IL的求得方式以及主繞組21串聯電容Cse之等效電路以及等效電路的阻抗算法,可由習知的兩相對稱分量等效電路或dq軸等效電路(d-axis & q-axis equivalent circuit)求出,在此不再加以贅述。 Among them, the IL in the formula (3) is the load current, RL is the load resistance, and XL is the load reactance. The method for obtaining the load current IL in the formula (3) and the equivalent circuit of the series winding capacitor Cse of the main winding 21 and the impedance algorithm of the equivalent circuit can be obtained by a conventional two-symmetric component equivalent circuit or a dq-axis equivalent circuit. (d-axis & q-axis equivalent circuit) is found and will not be described here.
本發明之目的為在變動轉速與變動負載的情形下,找出能維持主繞組串聯電容器之單相感應發電機100的負載端整體電壓變化率TVV最小的該並聯電容Cp與該串聯電容Cse。因此,首先先求出該主繞組串聯電容器之單相感應發電機100的電壓變化率(Voltage Variation,VV),電壓變化率的計算方程式如下:VV=(|Vo|-1)2 (4) The object of the present invention is to find the shunt capacitance Cp and the series capacitor Cse which can maintain the minimum voltage change rate TVV of the load end of the single-phase induction generator 100 of the main winding series capacitor in the case of varying the rotational speed and the variable load. Therefore, firstly, the voltage change rate (VV) of the single-phase induction generator 100 of the main winding series capacitor is first obtained, and the calculation formula of the voltage change rate is as follows: VV = (| V o|-1) 2 (4 )
習知之感應發電機100之轉速變動範圍,通常介於同步轉速至1.2倍同步轉速之間。因此,以同步轉速至1.2倍同步轉速之間為例說明,轉速v(j)可用下式設定(解析度為1000):
其中v為同步轉速,v(j)為第j個轉速,j=1,2,….,1000。值得一提,上述感應發電機100之轉速變動範圍不以同步轉速至1.2倍同步轉速為限,僅以方便說明為例。換言之,只要能使單相感應電動機可達發電功效之轉速,皆應包含在本實施例之範疇之中。此外,解析度設定為1000,代表轉速由同步轉速至1.2倍同步轉速之間分成1000等分,但不以此為限,僅為方便說明為例。 Where v is the synchronous speed, v(j) is the jth speed, j=1, 2, . . . , 1000. It is worth mentioning that the range of the rotation speed of the induction generator 100 is not limited to the synchronous rotation speed to 1.2 times the synchronous rotation speed, and is merely taken as an example for convenience of explanation. In other words, as long as the single-phase induction motor can achieve the speed of power generation, it should be included in the scope of this embodiment. In addition, the resolution is set to 1000, and the representative rotation speed is divided into 1000 equal parts from the synchronous rotation speed to the 1.2 times synchronous rotation speed, but is not limited thereto, and is merely an example for convenience of explanation.
習知之感應發電機100之負載23變動範圍,通常介於額定負載至0.01倍額定負載之間。功率因數為cosθ為例說明,負載電阻RL(i)與負載電抗XL(i)可用下式設定(解析度為1000):
其中ZL為額定負載阻抗,RL(i)為第i個負載電阻,XL(i)為第i個負載電抗,i=1,2,….,1000。值得一提,上述感應發電機100之負載23變動範圍不以額定負載至0.01倍額定負載為限,僅以方便說明為例。此外,解析度設定為1000,代表轉速由額定負載至0.01倍額定負載之間分成1000等分,但不以此為限,僅為方便說明為例。 Where ZL is the rated load impedance, RL(i) is the ith load resistance, and XL(i) is the ith load reactance, i=1, 2, . . . , 1000. It is worth mentioning that the variation range of the load 23 of the induction generator 100 is not limited to the rated load to 0.01 times the rated load, and is merely taken as an example for convenience of explanation. In addition, the resolution is set to 1000, and the representative speed is divided into 1000 equal parts from the rated load to 0.01 times the rated load, but is not limited thereto, and is merely an example for convenience of explanation.
本發明應用強化型基因演算法的目標為在變動轉速與變動負載的情形下維持整體電壓變化率TVV最小,而本實施例係以轉速範圍設定為同步轉速至1.2倍同步轉速,負載23範圍設定為額定負載至0.01倍額定負載,整體電壓變化率TVV可以下式表示:
值得一提,上述解析度之大小,代表計算出上述參數所需時間的長短,以及所求出整體電壓變化率TVV的精準度。因此,若解析度低,則代表參數所計算的時間較短,但求出整體電壓變化率TVV的精準度較低。若解析度高,則代表參數所計算的時間較長,但求出整體電壓變化率TVV的精準度較高。 It is worth mentioning that the magnitude of the above resolution represents the length of time required to calculate the above parameters and the accuracy of the overall voltage change rate TVV obtained. Therefore, if the resolution is low, the time calculated by the representative parameter is short, but the accuracy of determining the overall voltage change rate TVV is low. If the resolution is high, the time calculated by the representative parameter is long, but the accuracy of the overall voltage change rate TVV is high.
請參閱圖2係為本發明第一實施例之單相感應發電機之自激電容配置方法流程圖。配合參閱圖1,本發明以強化型基因演算法的尋優特性,找出輔助繞組22的並聯電容Cp與主繞組21串聯電容Cse的最佳解,其基本概念為將輔 助繞組22的並聯電容Cp與主繞組21串聯電容Cse設為強化型基因演算法每一個個體I的參數,透過群體的尋優過程找出最佳解,以確定輔助繞組22的並聯電容Cp與主繞組21串聯電容Cse的最終值。優化過程包含設定群體數量、定義個體的參數、初始值的設定、適應度函數的計算、選取、交配與突變等機制。該方法流程可由一包含可執行、選擇、運算以及判斷功能之電子裝置(圖未示)實施,且所求得之結果可應用於上述三種結構之感應發電機100之中。 2 is a flow chart of a method for configuring a self-excited capacitor of a single-phase induction generator according to a first embodiment of the present invention. Referring to FIG. 1, the present invention finds the optimal solution of the parallel capacitance Cp of the auxiliary winding 22 and the series capacitance Cse of the main winding 21 with the optimization characteristics of the enhanced gene algorithm. The basic concept is that The parallel capacitance Cp of the auxiliary winding 22 and the series capacitance Cse of the main winding 21 are set as parameters of each individual I of the enhanced gene algorithm, and the optimal solution is found through the optimization process of the group to determine the parallel capacitance Cp of the auxiliary winding 22 and The main winding 21 is connected to the final value of the capacitor Cse. The optimization process includes setting the number of groups, defining individual parameters, setting initial values, calculating, selecting, mating, and abrupt changes in fitness functions. The method flow can be implemented by an electronic device (not shown) including an executable, select, calculate, and determine function, and the obtained result can be applied to the three types of induction generators 100.
如圖2所示,並配合參閱圖1。該自激電容配置方法係包括:首先,設定複數個個體,每個個體包含該串聯電容的候選容值與該並聯電容的候選容值(S10)。該些個體I的數量N代表每一次疊代過程中參與競爭的該些個體I的數量N,其數量N的多寡直接影響求解的速度。其數量N越多,收斂時間較長,但容易獲得整體最佳解。反之,其數量N若設定太小,雖能減少收斂時間,卻容易陷入局部最佳解。為避免該些個體I的數量N太多而延長收斂時間,以及該些個體I的數量N太少而陷入局部最佳解。因此,於本實施例中該些個體I的數量N設為100個。每個個體I包含輔助繞組22的並聯電容Cp的候選容值與主繞組21的串聯電容Cse的候選容值。然後,以隨機方式決定該些個體的該串聯電容的候選容值與該並聯電容的候選容值(S20)。該自激電容配置方法係以亂數的方式,隨機配置該輔助繞組22的並聯電容Cp的候選容值與主繞組21的串聯電容Cse的候選容值。並藉由每個個體I的並聯電容Cp的候選容值與串聯電容Cse的候選容值代入上述(3)式計算每個個體I的該負載23的一第一端電壓Vo1。值得一提,現有之電容器候選容值之範圍大多介於皮法拉(pico F;pF)至毫法拉(milli F;mF)之間。但為避免亂數決定的參數範圍過大,而導致每個個體I彼此之間的並聯電容Cp的候選容值與串聯電容Cse的候選容值過於極端,因此該亂數決定電容器候選容值範圍以100μF至200μF為最佳。 As shown in Figure 2, and with reference to Figure 1. The self-excited capacitor configuration method includes: first, setting a plurality of individuals, each of which includes a candidate capacitance of the series capacitor and a candidate capacitance of the parallel capacitor (S10). The number N of the individuals I represents the number N of the individuals I participating in the competition during each iteration, and the number of the numbers N directly affects the speed of the solution. The more the number N, the longer the convergence time, but it is easy to obtain the overall optimal solution. Conversely, if the number N is set too small, it can reduce the convergence time, but it is easy to fall into the local optimal solution. In order to avoid the number N of the individual I, the convergence time is prolonged, and the number N of the individuals I is too small to fall into a local optimum solution. Therefore, in the present embodiment, the number N of the individuals I is set to 100. Each individual I contains a candidate capacitance of the parallel capacitance Cp of the auxiliary winding 22 and a candidate capacitance of the series capacitance Cse of the main winding 21. Then, the candidate capacitance of the series capacitance of the individual and the candidate capacitance of the parallel capacitance are determined in a random manner (S20). The self-excited capacitor configuration method randomly configures the candidate capacitance of the parallel capacitance Cp of the auxiliary winding 22 and the candidate capacitance of the series capacitance Cse of the main winding 21 in a random number manner. And calculating a first terminal voltage Vo1 of the load 23 of each individual I by substituting the candidate capacitance of the parallel capacitance Cp of each individual I and the candidate capacitance of the series capacitance Cse into the above formula (3). It is worth mentioning that the range of existing capacitor candidate values is mostly between picofara (pF) and millifarad (milli F; mF). However, in order to avoid the parameter range determined by the random number being too large, the candidate capacitance of the parallel capacitance Cp and the candidate capacitance of the series capacitance Cse between each individual I are too extreme, so the random number determines the capacitor candidate capacitance range to 100μF to 200μF is optimal.
復參閱圖2,並配合參閱圖1。然後,藉由每個個體的該串聯電容的候選容值與該並聯電容的候選容值計算每個個體的該負載的一第一端電壓,並藉由該第一端電壓計算每個個體的整體電壓變化率(S30)。藉由每個個體I的該負載23的該第一端電壓Vo1,代入上述(4)式可求得每個個體I的電壓變化率VV。再將每個個體I的電壓變化率VV代如上述(8)式,求得每個個體I於變動轉速與變動負載的情形下的整體電壓變化率TVV。藉由強化型基因演算法,可將每個個體I的整體電壓變化率TVV計算出每個個體I的適應度f(k)。本實施例係以每個個體I的整體電壓變化率TVV的補數為該適應度f(k),f(k)之計算如下式所示:f(k)=1-TVV(k)for k=1,2,.......,N (9) Refer to Figure 2 and refer to Figure 1. Then, a first terminal voltage of the load of each individual is calculated by the candidate capacitance of the series capacitance of each individual and the candidate capacitance of the parallel capacitance, and each individual is calculated by the first terminal voltage Overall voltage change rate (S30). The voltage change rate VV of each individual I can be obtained by substituting the first terminal voltage Vo1 of the load 23 of each individual I into the above equation (4). Then, the voltage change rate VV of each individual I is represented by the above formula (8), and the overall voltage change rate TVV of each individual I in the case of the varying rotational speed and the varying load is obtained. By the enhanced gene algorithm, the fitness fV of each individual I can be calculated from the overall voltage change rate TVV of each individual I. In this embodiment, the complement of the overall voltage change rate TVV of each individual I is the fitness f(k), and the calculation of f(k) is as follows: f ( k )=1- TVV ( k ) for k =1,2,......., N (9)
其中k為第k個個體,N個體I的數量。一般而言,整體電壓變化率TVV之數值越小,代表整體電壓的變動幅度越小。因此,整體電壓變化率TVV之數值越小越好。而由上述(9)式可得知,該適應度f(k)之數值越大,代表整體電壓的變動幅度越小。因此,該適應度f(k)之數值越大越好。 Where k is the number of the kth individual, N individual I. In general, the smaller the value of the overall voltage change rate TVV, the smaller the variation of the overall voltage. Therefore, the smaller the value of the overall voltage change rate TVV, the better. As can be seen from the above formula (9), the larger the value of the fitness f(k), the smaller the fluctuation range of the overall voltage. Therefore, the larger the value of the fitness f(k), the better.
請參閱圖2,並配合參閱圖1。經過上述步驟後,可得知每個體I的求得每個並聯電容Cp的候選容值與串聯電容Cse的候選容值,以及每個體I的整體電壓變化率TVV。然後,藉由每個個體的整體電壓變化率選出複數個獲選個體,未被獲選的個體為複數個落選個體(S40)。求出每個體I的整體電壓變化率TVV後,將每個個體I的整體電壓變化率TVV由大至小排序,該些個體I的整體電壓變化率TVV越小,代表個體I內的並聯電容Cp的候選容值與串聯電容Cse的候選容值越佳,因此會有較大的獲選機率。當選擇出複數個獲選個體Is後,剩餘未獲選的個體I被歸類為複數個落選個體Iu。於本實施例中,係選取20%的獲選個體Is,剩下的80%為該些落選個體Iu。 Please refer to Figure 2 and refer to Figure 1. After the above steps, it can be known that each body I obtains the candidate capacitance of each parallel capacitance Cp and the candidate capacitance of the series capacitance Cse, and the overall voltage change rate TVV of each body I. Then, a plurality of selected individuals are selected by the overall voltage change rate of each individual, and the unselected individuals are a plurality of unsuccessful individuals (S40). After the overall voltage change rate TVV of each body I is obtained, the overall voltage change rate TVV of each individual I is sorted from large to small, and the overall voltage change rate TVV of the individual I is smaller, representing the parallel capacitance in the individual I. The candidate capacitance of Cp and the candidate capacitance of series capacitor Cse are better, so there is a greater probability of selection. When a plurality of selected individuals Is are selected, the remaining unselected individuals I are classified into a plurality of unsuccessful individuals Iu. In the present embodiment, 20% of the selected individuals Is are selected, and the remaining 80% are the selected individuals Iu.
經過上述選取步驟後,係進入交配以及突變的階段。然後,隨機交換每個獲選個體的該串聯電容的候選容值或該並聯電容的候選容值,並產生複數個獲選子個體(S50)。選出該些獲選個體Is後,係隨機交換該些獲選個體Is內的並聯電容Cp的候選容值或該些獲選個體Is內的串聯電容Cse的候選容值。其中交配機率係由上述(1)式所決定,因此該些獲選個體Is的整體電壓變化率TVV需轉換為適應度f(k)後,帶入上述(1)式得到交配機率。由上述(1)式可知,整體電壓變化率TVV越低,交配機率越高。經由交配後,產生新的個體為複數個獲選子個體Iss,該些獲選子個體Iss係保留該些獲選個體Is其中一個的並聯電容Cp的候選容值或串聯電容Cse的候選容值。然後,隨機選擇該些落選個體中的至少一個為至少一個突變子個體,並隨機改變該些突變子個體內的該串聯電容的候選容值或該並聯電容的候選容值(S50’)。雖然,該些落選個體Iu可能代表整體電壓變化率TVV不佳,但由於有可能整體電壓變化率TVV低落的原因為,受到該些落選個體Iu的並聯電容Cp的候選容值或串聯電容Cse的候選容值其中之一的影響。因此,保留突變的機制是為了藉由改變並聯電容Cp的候選容值或串聯電容Cse的候選容值其中之一,以嘗試是否有機率可突變出並聯電容Cp的候選容值與串聯電容Cse的候選容值組合較佳的個體。因此,由上述該些落選個體Iu中,隨機選擇出至少一個該些落選個體Iu,且改變並聯電容Cp的候選容值或串聯電容Cse的候選容值其中之一為至少一個突變子個體Ims。其中突變機率係由上述(2)式所決定,因此該些落選個體Iu的整體電壓變化率TVV需轉換為適應度f(k)後,帶入上述(2)式得到突變機率。由上述(2)式可知,整體電壓變化率TVV越低,突變的機率越高。值得一提,比較上述(1)(2)式可得知,交配的機率遠大於突變的機率。因此,該些獲選子個體Iss的數量通常也大於該突變子個體Ims的數量。 After the above selection steps, the system enters the stage of mating and mutation. Then, the candidate capacitance of the series capacitance or the candidate capacitance of the parallel capacitance of each selected individual is randomly exchanged, and a plurality of selected sub-individuals are generated (S50). After selecting the selected individuals Is, the candidate capacitances of the parallel capacitors Cp in the selected individuals Is or the candidate capacitances of the series capacitors Cse in the selected individuals Is are randomly exchanged. The mating probability is determined by the above formula (1). Therefore, the overall voltage change rate TVV of the selected individuals Is needs to be converted into the fitness f(k), and then the above formula (1) is brought to obtain the mating probability. As can be seen from the above formula (1), the lower the overall voltage change rate TVV, the higher the mating probability. After mating, a new individual is generated as a plurality of selected sub-individual Iss, and the selected sub-individual Iss retains the candidate capacitance of the parallel capacitance Cp of one of the selected individuals Is or the candidate capacitance of the series capacitance Cse . Then, at least one of the selected individuals is randomly selected as at least one mutant individual, and the candidate capacitance of the series capacitance or the candidate capacitance of the parallel capacitance (S50') in the individual of the mutants is randomly changed. Although the missing individuals Iu may represent the overall voltage change rate TVV is not good, but the reason why the overall voltage change rate TVV is low is due to the candidate capacitance or series capacitance Cse of the parallel capacitance Cp of the selected individuals Iu. The influence of one of the candidate values. Therefore, the mechanism for retaining the mutation is to try to change whether the organic potential can mutate the candidate capacitance of the parallel capacitor Cp and the series capacitance Cse by changing one of the candidate capacitance of the parallel capacitance Cp or the candidate capacitance of the series capacitance Cse. Candidate values are a combination of preferred individuals. Therefore, among the above-mentioned selected individuals Iu, at least one of the missing individuals Iu is randomly selected, and one of the candidate capacitances of the parallel capacitance Cp or the candidate capacitance of the series capacitance Cse is changed to be at least one mutant individual Ims. The mutation probability is determined by the above formula (2). Therefore, the overall voltage change rate TVV of the selected individuals Iu needs to be converted into the fitness f(k), and the mutation probability is obtained by introducing the above formula (2). As can be seen from the above formula (2), the lower the overall voltage change rate TVV, the higher the probability of mutation. It is worth mentioning that comparing the above formula (1) (2), the probability of mating is much greater than the probability of mutation. Therefore, the number of selected individual individuals Iss is usually also greater than the number of Ims of the mutant individual.
復參閱圖2,並配合參閱圖1。然後,藉由步驟(S30)計算每個獲選子個體與每個突變子個體的該負載的一第二端電壓,並藉由該第二端電壓計算 每個獲選子個體與每個突變子個體的整體電壓變化率(S60)。由上述交配以及突變的階段取出該些獲選子個體Iss與該些突變子個體Ims後,係經由步驟(S30)的計算方法,求得每一個獲選子個體Iss與突變子個體Ims的該負載23的一第二端電壓Vo2。再藉由步驟(S30)的計算方法,且藉由該第二端電壓Vo2,計算出每一個獲選子個體Iss與突變子個體Ims的整體電壓變化率TVV。 Refer to Figure 2 and refer to Figure 1. Then, a second terminal voltage of the load of each of the selected sub-individuals and each of the mutant sub-individuals is calculated by the step (S30), and is calculated by the second terminal voltage The overall voltage change rate of each of the selected sub-individuals and each of the mutant sub-populations (S60). After the selected sub-individual Iss and the mutant sub-individual Ims are taken out from the stage of mating and mutation, the calculation method of step (S30) is used to obtain the Iss of each of the selected sub-individuals and the mutant sub-individual Ims. A second terminal voltage Vo2 of the load 23. Then, by the calculation method of the step (S30), and by the second terminal voltage Vo2, the overall voltage change rate TVV of each of the selected sub-individual Iss and the mutant sub-instant is calculated.
經過上述交配以及突變的階段,且求得整體電壓變化率TVV後,係進入判斷步驟。最後,排序該些獲選個體、該些獲選子個體以及該些突變子個體的整體電壓變化率之大小,並選取整體電壓變化率最小的一確選個體,並判斷該確選個體的電壓變化率是否於一誤差收斂範圍內(S70)。藉由上述步驟(S30)至步驟(S60)可得到每一個獲選子個體Iss、突變子個體Ims以及獲選個體Is的整體電壓變化率TVV。之後,排序該整體電壓變化率TVV的大小,並取出該整體電壓變化率TVV最小的一確選個體Ies,並判斷該確選個體Ies的整體電壓變化率TVV是否於一誤差收斂範圍Rec(error convergence range)內。其中,該誤差收斂範圍Rec係可設定下述態樣。(1)該確選個體Ies的整體電壓變化率TVV是否小於10%以內。(2)比較本次流程所求得的確選個體Ies與下一次流程所求的確選個體Ies的整體電壓變化率TVV差值是否小於10%以內。值得一提,該誤差收斂範圍Rec不以上述態樣為限。換言之,操作者可自我調整該誤差收斂範圍Rec的比例。例如但不限於,操作者調整該誤差收斂範圍Rec為3%,以取得更佳的並聯電容Cp的候選容值與串聯電容Cse的候選容值,以利更精準地控制該感應發電機100。值得一提,本實施例之個體I數量設定為100個。因此,經過上述步驟所求得的該些獲選子個體Iss、該些突變子個體Ims以及該些獲選個體Is的總數量,相等於該些個體I的數量為最佳。 After the above-mentioned mating and mutation stages, and the overall voltage change rate TVV is obtained, the determination step is entered. Finally, sorting the selected individuals, the selected sub-individuals, and the magnitude of the overall voltage change rate of the individual mutants, and selecting a selected individual whose overall voltage change rate is the smallest, and determining the voltage of the selected individual Whether the rate of change is within an error convergence range (S70). By the above steps (S30) to (S60), the overall voltage change rate TVV of each of the selected sub-individual Iss, the mutant sub-indivis, and the selected individual Is can be obtained. Thereafter, the size of the overall voltage change rate TVV is sorted, and a selected individual Ies having the smallest overall voltage change rate TVV is taken out, and it is determined whether the overall voltage change rate TVV of the selected individual Ies is within an error convergence range Rec (error) Within the convergence range). Among them, the error convergence range Rec can set the following aspects. (1) It is determined whether the overall voltage change rate TVV of the individual Ies is less than 10%. (2) Compare whether the difference between the overall voltage change rate TVV of the individual Ies determined by the selected individual Ies and the next process is less than 10%. It is worth mentioning that the error convergence range Rec is not limited to the above. In other words, the operator can self-adjust the proportion of the error convergence range Rec. For example, but not limited to, the operator adjusts the error convergence range Rec to 3% to obtain a better candidate capacitance of the parallel capacitance Cp and a candidate capacitance of the series capacitance Cse, so as to more accurately control the induction generator 100. It is worth mentioning that the number of individual I in this embodiment is set to 100. Therefore, the total number of the selected sub-individual Iss, the mutant sub-interjects Ims, and the selected individual Iss obtained by the above steps is equivalent to the number of the individual I being optimal.
經過上述判斷的階段後,若該確選個體Ies的電壓變化率TVV於該誤差收斂範圍Rec內時,代表該確選個體Ies的並聯電容Cp的候選容值與串聯電容 Cse的候選容值為最佳解。此時,選取代表該確選個體Ies的該串聯電容Cse的候選容值與該並聯電容Cp的候選容值,以作為自激電容之配置。若該確選個體Ies的電壓變化率TVV不在該誤差收斂範圍Rec內時,將經由步驟(SI0)至(S70)中所求得的該些獲選個體Is、該些獲選子個體Iss以及該些突變子個體Ims設定為該些個體I,並跳回步驟(S30)。重複步驟(S30)至步驟(S70)後,在判斷一次重複步驟(S30)至步驟(S70)所選擇出的確選個體Ies的電壓變化率TVV於該誤差收斂範圍Rec內;該流程(S30)至(S70)係會重複執行,以求得該確選個體Ies的電壓變化率TVV於該誤差收斂範圍Rec內。若步驟(S30)至步驟(S70)重複執行超過一最大疊代次數INmax時,代表可能於步驟(S10)至步驟(S20)所隨機決定該些個體I內的該串聯電容Cse的候選容值與該並聯電容Cp的候選容值較差,導致後續交配及突變步驟後,所衍生出的該些獲選子個體Iss以及該些突變子個體Ims也不佳。因此,選擇該些獲選個體Is、該些獲選子個體Iss以及該些突變子個體Im中,最接近該誤差收斂範圍Rec的一接近個體Ic。此時,可選取代表該接近個體Ic的該串聯電容Cse的候選容值與該並聯電容Cp的候選容值作為自激電容之配置;或重新選擇複數個個體I,並再次執行步驟(S10)至(S70),以嘗試求得該確選個體Ies於該誤差收斂範圍Rec內。值得一提,為避免重複執行步驟(S30)至步驟(S70)之時間過與冗長;或重複執行步驟(S30)至步驟(S70)之次數不夠,而導致該確選個體Ies不易於該誤差收斂範圍Rec內。因此,於本實施例中,該最大疊代次數INmax係設定為2000次為最佳。 After the stage of the above judgment, if it is determined that the voltage change rate TVV of the individual Ies is within the error convergence range Rec, the candidate capacitance and the series capacitance representing the parallel capacitance Cp of the selected individual Ies are determined. The candidate value of Cse is the best solution. At this time, the candidate capacitance of the series capacitor Cse representing the selected individual Ies and the candidate capacitance of the parallel capacitor Cp are selected as the configuration of the self-excited capacitor. If it is determined that the voltage change rate TVV of the individual Ies is not within the error convergence range Rec, the selected individuals Is obtained in the steps (SI0) to (S70), the selected sub-individual Iss, and The mutant individual Ims is set to the individuals I, and jumps back to the step (S30). After repeating the steps (S30) to (S70), it is determined that the voltage change rate TVV of the selected individual Ies selected in the one-step repeating step (S30) to the step (S70) is within the error convergence range Rec; the flow (S30) The process of (S70) is repeated to determine that the voltage change rate TVV of the selected individual Ies is within the error convergence range Rec. If the step (S30) to the step (S70) are repeatedly performed over a maximum number of iterations INmax, it may represent that the candidate capacitance of the series capacitor Cse in the individual I may be randomly determined in steps (S10) to (S20). The candidate capacitance of the parallel capacitor Cp is inferior, resulting in the subsequent mating and mutation steps, and the selected sub-individual Iss and the mutants are not good. Therefore, among the selected individuals Is, the selected individual individuals Iss, and the mutant individuals Im, the closest individual Ic closest to the error convergence range Rec is selected. At this time, the candidate capacitance of the series capacitor Cse representing the proximity individual Ic and the candidate capacitance of the parallel capacitance Cp may be selected as the configuration of the self-excited capacitor; or a plurality of individuals I may be reselected, and the step (S10) is performed again. To (S70), an attempt is made to find the confirmed individual Ies within the error convergence range Rec. It is worth mentioning that in order to avoid the repetition of the steps (S30) to (S70), the time is too long or redundant; or the number of times of repeating the steps (S30) to (S70) is insufficient, which results in the error of the selected individual Ies. Convergence range within Rec. Therefore, in the present embodiment, it is preferable that the maximum number of iterations INmax is set to 2000 times.
請參閱圖3係為本發明第二實施例之單相感應發電機電路結構圖。如圖3所示,該單相感應發電機100係為雙繞組自激磁-主繞組短並聯電容器架構。該短並聯電容之單相感應發電機100A包括一轉子10A與一定子20A,且該轉子10A藉由一原動機30A帶動。原動機30A係將該轉子10A順著磁場旋轉方向拖動,並使其轉速超過同步轉速時感應電動機就進入為該感應發電機100A運行。 該定子20A包括一主繞組21A與一輔助繞組22A,該主繞組21A係並聯一短並聯電容Csp後,再串聯一串聯電容Cse與外接一負載23A,該輔助繞組22A係並聯一並聯電容Cp。如圖3所示,單相感應發電機100A採用雙繞組架構。當該轉子10A轉動時,會於該負載23A之兩端產生端電壓Vo。本實施例與第一實施例(請參閱圖1)之差別在於,於主繞組21A之中多並聯了一短並聯電容Csp,但相較於第一實施例之架構,更可降低負載23A端電壓Vo受到負載電流的影響。而本實施例之中,藉由負載23A之端電壓Vo求得該負載23A的整體電壓變化率TVV之算法以及步驟皆相同於第一實施例之敘述,在此不再加以贅述。 Please refer to FIG. 3, which is a circuit diagram of a single-phase induction generator according to a second embodiment of the present invention. As shown in FIG. 3, the single-phase induction generator 100 is a two-winding self-excitation-main winding short shunt capacitor architecture. The short-parallel capacitor single-phase induction generator 100A includes a rotor 10A and a stator 20A, and the rotor 10A is driven by a prime mover 30A. The prime mover 30A drives the rotor 10A in the direction of the magnetic field rotation, and when the rotational speed exceeds the synchronous rotational speed, the induction motor enters to operate the induction generator 100A. The stator 20A includes a main winding 21A and an auxiliary winding 22A. The main winding 21A is connected in parallel with a short parallel capacitor Csp, and then a series capacitor Cse is connected in series with an external load 23A. The auxiliary winding 22A is connected in parallel with a parallel capacitor Cp. As shown in FIG. 3, the single phase induction generator 100A employs a dual winding architecture. When the rotor 10A rotates, a terminal voltage Vo is generated across the load 23A. The difference between this embodiment and the first embodiment (please refer to FIG. 1) is that a short parallel capacitor Csp is connected in parallel in the main winding 21A, but the load 23A end can be reduced compared with the architecture of the first embodiment. The voltage Vo is affected by the load current. In the present embodiment, the algorithm and the steps of determining the overall voltage change rate TVV of the load 23A by the terminal voltage Vo of the load 23A are the same as those in the first embodiment, and will not be further described herein.
請參閱圖4係為本發明第二實施例之單相感應發電機之自激電容配置方法流程圖。配合參閱圖3,本發明以基因演算法的尋優特性,找出輔助繞組22A的並聯電容Cp、主繞組21A串聯電容Cse與短並聯電容Csp的最佳解,其基本概念為將輔助繞組22A的並聯電容Cp、主繞組21A串聯電容Cse與短並聯電容Csp設為強化型基因演算法每一個個體I的參數,透過群體的尋優過程找出最佳解,以確定輔助繞組22A的並聯電容Cp、主繞組21A串聯電容Cse與短並聯電容Csp的最終值。優化過程包含設定群體數量、定義個體的參數、初始值的設定、適應度函數的計算、選取、交配與突變等機制。 4 is a flow chart of a method for configuring a self-excited capacitor of a single-phase induction generator according to a second embodiment of the present invention. Referring to FIG. 3, the present invention finds the optimal solution of the parallel capacitance Cp of the auxiliary winding 22A, the series capacitance Cse of the main winding 21A and the short parallel capacitance Csp by the optimization function of the genetic algorithm. The basic concept is to use the auxiliary winding 22A. The parallel capacitor Cp, the main winding 21A series capacitor Cse and the short parallel capacitor Csp are set to the parameters of each individual I of the enhanced gene algorithm, and the optimal solution is found through the group optimization process to determine the parallel capacitance of the auxiliary winding 22A. Cp, the final value of the series winding Cse of the main winding 21A and the short parallel capacitor Csp. The optimization process includes setting the number of groups, defining individual parameters, setting initial values, calculating, selecting, mating, and abrupt changes in fitness functions.
如圖4所示,並配合參閱圖3,該自激電容配置方法係包括:首先,設定複數個個體,每個個體包含該主繞組短並聯電容的候選容值、該串聯電容的候選容值與該並聯電容的候選容值(S10)。請參閱圖4,並配合參閱圖2~3,本實施例之自激電容配置方法與第一實施例(請參閱圖2)最大差異在於,該些個體I中增加了該主繞組21A短並聯電容Csp的候選容值。除了該主繞組21A短並聯電容Csp的候選容值之參數不同之外,步驟(S10)至步驟(S70)之流程以及判斷方式皆相同於圖2,在此不再加以贅述。 As shown in FIG. 4, and referring to FIG. 3, the self-excited capacitor configuration method includes: first, setting a plurality of individuals, each of which includes a candidate capacitance value of the short winding capacitance of the main winding, and a candidate capacitance value of the series capacitor. A candidate capacitance value with the shunt capacitor (S10). Referring to FIG. 4 and referring to FIG. 2 to FIG. 3, the maximum difference between the self-excited capacitor configuration method of this embodiment and the first embodiment (see FIG. 2) is that the main windings 21A are short-paralleled in the individual I. The candidate capacitance of the capacitor Csp. The flow of the step (S10) to the step (S70) and the judgment manner are the same as those of FIG. 2 except that the parameters of the candidate capacitance of the short-parallel capacitor Csp of the main winding 21A are different, and details are not described herein again.
請參閱圖5係為本發明第三實施例之單相感應發電機電路結構圖。如圖5所示,該單相感應發電機100係為雙繞組自激磁-主繞組長並聯電容器架構。該長並聯電容之單相感應發電機100B包括一轉子10B與一定子20B,且該轉子10B藉由一原動機30B帶動。原動機30B係將該轉子10B順著磁場旋轉方向拖動,並使其轉速超過同步轉速時感應電動機就進入為該感應發電機100B運行。該定子20B包括一主繞組21B與一輔助繞組22B,該主繞組21B係串聯一串聯電容Cse後,再並聯一長並聯電容Clp與外接一負載23B,該輔助繞組22B係並聯一並聯電容Cp。如圖5所示,單相感應發電機100B採用雙繞組架構。當該轉子10B轉動時,會於該負載23B之兩端產生端電壓Vo。本實施例與第一實施例(請參閱圖1)之差別在於,於主繞組21B之中多並聯了一長並聯電容Clp,但相較於第一實施例之架構,更可降低負載23B端電壓Vo受到負載電流的影響。而本實施例之中,藉由負載23B之端電壓Vo求得該負載23B的整體電壓變化率TVV之算法以及步驟皆相同於第一實施例之敘述,在此不再加以贅述。 Please refer to FIG. 5, which is a circuit diagram of a single-phase induction generator according to a third embodiment of the present invention. As shown in FIG. 5, the single-phase induction generator 100 is a two-winding self-excitation-main winding long parallel capacitor structure. The single-phase induction generator 100B of the long parallel capacitor includes a rotor 10B and a stator 20B, and the rotor 10B is driven by a prime mover 30B. The prime mover 30B drives the rotor 10B in the direction of the magnetic field rotation, and when the rotational speed exceeds the synchronous rotational speed, the induction motor enters the induction generator 100B. The stator 20B includes a main winding 21B and an auxiliary winding 22B. The main winding 21B is connected in series with a series capacitor Cse, and then a long parallel capacitor Clp is connected in parallel with an external load 23B. The auxiliary winding 22B is connected in parallel with a parallel capacitor Cp. As shown in FIG. 5, the single phase induction generator 100B employs a dual winding architecture. When the rotor 10B rotates, a terminal voltage Vo is generated across the load 23B. The difference between this embodiment and the first embodiment (please refer to FIG. 1) is that a long parallel capacitor Clp is connected in parallel with the main winding 21B, but the load 23B can be reduced compared with the architecture of the first embodiment. The voltage Vo is affected by the load current. In the present embodiment, the algorithm and the steps of determining the overall voltage change rate TVV of the load 23B by the terminal voltage Vo of the load 23B are the same as those in the first embodiment, and will not be further described herein.
請參閱圖6係為本發明第三實施例之單相感應發電機之自激電容配置方法流程圖,配合參閱圖5,本發明以基因演算法的尋優特性,找出輔助繞組22B的並聯電容Cp、主繞組21B串聯電容Cse與長並聯電容Clp的最佳解,其基本概念為將輔助繞組22B的並聯電容Cp、主繞組21B串聯電容Cse與長並聯電容Clp設為強化型基因演算法每一個個體I的參數,透過群體的尋優過程找出最佳解,以確定輔助繞組22B的並聯電容Cp、主繞組21B串聯電容Cse與長並聯電容Clp的最終值。優化過程包含設定群體數量、定義個體的參數、初始值的設定、適應度函數的計算、選取、交配與突變等機制。 6 is a flow chart of a method for configuring a self-excited capacitor of a single-phase induction generator according to a third embodiment of the present invention. Referring to FIG. 5, the present invention finds the parallel connection of the auxiliary winding 22B by using the optimization function of the genetic algorithm. The optimal solution of capacitor Cp, main winding 21B series capacitor Cse and long parallel capacitor Clp, the basic concept is to set the parallel capacitor Cp of the auxiliary winding 22B, the main winding 21B series capacitor Cse and the long parallel capacitor Clp as the enhanced gene algorithm. The parameters of each individual I find the optimal solution through the optimization process of the group to determine the final value of the parallel capacitance Cp of the auxiliary winding 22B, the series capacitance Cse of the main winding 21B and the long parallel capacitance Clp. The optimization process includes setting the number of groups, defining individual parameters, setting initial values, calculating, selecting, mating, and abrupt changes in fitness functions.
如圖6所示,並配合參閱圖5,該自激電容配置方法係包括:首先,設定複數個個體,每個個體包含該主繞組長並聯電容的候選容值、該串聯電容的候選容值與該並聯電容的候選容值(S10)。請參閱圖6,並配合參閱圖2、5,本 實施例之自激電容配置方法與第一實施例(請參閱圖2)最大差異在於,該些個體I中增加了該主繞組21B長並聯電容Clp的候選容值。除了該主繞組21B長並聯電容Clp的候選容值之參數不同之外,步驟(S10)至步驟(S70)之流程以及判斷方式皆相同於圖2,在此不再加以贅述。 As shown in FIG. 6 and referring to FIG. 5, the self-excited capacitor configuration method includes: first, setting a plurality of individuals, each of which includes a candidate capacitance of the main winding long parallel capacitor, and a candidate capacitance of the series capacitor. A candidate capacitance value with the shunt capacitor (S10). Please refer to Figure 6, and with reference to Figures 2 and 5, this The biggest difference between the self-excited capacitor configuration method of the embodiment and the first embodiment (please refer to FIG. 2) is that the candidate capacitance of the long parallel capacitor Clp of the main winding 21B is increased in the individual I. The process of the steps (S10) to (S70) and the determination manner are the same as those of FIG. 2 except that the parameters of the candidate capacitance of the long parallel capacitance Clp of the main winding 21B are different, and details are not described herein again.
綜上所述,本發明係具有以下之優點:1、相較於現行決定自激電容器候選容值的嘗試法,本發明所提供的自激電容配置方法無須重複進行更換容值、測試整體電壓變化率TVV之步驟,因此,可達快速地求出串聯電容的候選容值與該並聯電容的候選容值之功效;2、相較於現行決定自激電容器候選容值的嘗試法,本發明所提供的自激電容配置方法可逐漸逼近最佳的整體電壓變化率TVV,因此,可達準確地求出串聯電容的候選容值與該並聯電容的候選容值之功效;3、利用強化型機因演算法的突變步驟,可達避免求得之串聯電容的候選容值與該並聯電容的候選容值陷入局部最佳解之功效;4、利用精準的串聯電容的候選容值與該並聯電容的候選容值可達提升感應發電機100整體發電效率之功效。 In summary, the present invention has the following advantages: 1. Compared with the current attempt to determine the candidate capacitance of the self-excited capacitor, the self-excited capacitor configuration method provided by the present invention does not need to repeatedly replace the capacitance value and test the overall voltage. The step of varying the rate of TVV, therefore, the efficiency of the candidate capacitance of the series capacitor and the candidate capacitance of the parallel capacitor can be quickly obtained; 2. The present invention is compared to the current attempt to determine the candidate capacitance of the self-excited capacitor. The self-excited capacitor configuration method provided can gradually approach the optimal overall voltage change rate TVV, so that the candidate capacitance value of the series capacitor and the candidate capacitance value of the parallel capacitor can be accurately obtained. 3. The enhanced type is utilized. Due to the mutation step of the algorithm, the candidate capacitance of the series capacitor and the candidate capacitance of the parallel capacitor are prevented from falling into the local optimal solution. 4. The candidate capacitance of the precision series capacitor is used in parallel with the parallel capacitance. The candidate capacitance of the capacitor can improve the overall power generation efficiency of the induction generator 100.
惟,以上所述,僅為本發明較佳具體實施例之詳細說明與圖式,惟本發明之特徵並不侷限於此,並非用以限制本發明,本發明之所有範圍應以下述之申請專利範圍為準,凡合於本發明申請專利範圍之精神與其類似變化之實施例,皆應包括於本發明之範疇中,任何熟悉該項技藝者在本發明之領域內,可輕易思及之變化或修飾皆可涵蓋在以下本案之專利範圍。 However, the above description is only for the detailed description and the drawings of the preferred embodiments of the present invention, and the present invention is not limited thereto, and is not intended to limit the present invention. The scope of the patent application is intended to be included in the scope of the present invention, and any one skilled in the art can readily appreciate it in the field of the present invention. Variations or modifications may be covered by the patents in this case below.
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US3832625A (en) * | 1973-02-26 | 1974-08-27 | Westinghouse Electric Corp | Electrical power generating arrangement and method utilizing an induction generator |
US4417194A (en) * | 1980-09-18 | 1983-11-22 | The Charles Stark Draper Laboratory, Inc. | Induction generator system with switched capacitor control |
US6788031B2 (en) * | 2001-01-26 | 2004-09-07 | Larry Stuart Pendell | Induction generator system and method |
US7245105B2 (en) * | 2004-11-17 | 2007-07-17 | Samsung Electronics Co., Ltd. | Single-phase induction motor and method for reducing noise in the same |
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US3832625A (en) * | 1973-02-26 | 1974-08-27 | Westinghouse Electric Corp | Electrical power generating arrangement and method utilizing an induction generator |
US4417194A (en) * | 1980-09-18 | 1983-11-22 | The Charles Stark Draper Laboratory, Inc. | Induction generator system with switched capacitor control |
US6788031B2 (en) * | 2001-01-26 | 2004-09-07 | Larry Stuart Pendell | Induction generator system and method |
US7245105B2 (en) * | 2004-11-17 | 2007-07-17 | Samsung Electronics Co., Ltd. | Single-phase induction motor and method for reducing noise in the same |
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