TW202324874A - Power system state analysis method - Google Patents

Power system state analysis method Download PDF

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TW202324874A
TW202324874A TW110146794A TW110146794A TW202324874A TW 202324874 A TW202324874 A TW 202324874A TW 110146794 A TW110146794 A TW 110146794A TW 110146794 A TW110146794 A TW 110146794A TW 202324874 A TW202324874 A TW 202324874A
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state
power
power element
matrix
transitions
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TWI783826B (en
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鄧人豪
謝佳宏
吳振豪
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國立中山大學
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Abstract

A power system state analysis builds a state-conversion-times matrix by the conversion times between each state of a power component of a power system, then builds a conversion-intensity-matrix by the state-conversion-times matrix, and at last, computes the probability density of each of the states of the power component by the conversion-intensity-matrix. In this way, the uncertainty of the power component in each state can be obtained, and the demand response of the power system can be set more accurately.

Description

電力系統狀態的分析方法Analytical Method of Power System State

本發明是關於一種電力系統，特別是關於一種電力系統狀態的分析方法。The invention relates to a power system, in particular to a method for analyzing the state of the power system.

台灣整體用電需求隨著經濟發展持續上揚，使得所需之裝置容量持續增加，但由於目前環保意識抬頭，對於新設發電廠日益困難，因此，一些需求面管理的措施，如需量反應被提出，以透過調節用電端電力需求的方式，改善電力系統的負載型態。需量反應的主要作法是在售電價格攀升時，讓用戶主動將用電下降，以分享售電所得之利益，且加入需量反應後，可讓電力系統的可靠度大幅提升，對於供電端及用電端雙方可以說是兩全其美的作法。由於需量反應中須準確地預估負載之降低數值才能維持電力系統的可靠度並訂定合理的電量收購價格，因此，對於負載之狀態分析成為了需量反應中重要的一環。此外，電力系統中的再生能源產生之電力有著較高不確定性，在再生能源容量增加的情況下，不確定性對電力系統的可靠度也將產生影響，因此除了對於負載之狀態分析之外，對再生能源裝置進行狀態分析對於維持電力系統的可靠度也日益重要。Taiwan's overall electricity demand continues to rise along with economic development, resulting in a continuous increase in the required installation capacity. However, due to the current awareness of environmental protection, it is increasingly difficult to build new power plants. Therefore, some demand-side management measures, such as demand response, have been proposed. , to improve the load pattern of the power system by adjusting the power demand of the power consumer. The main method of demand response is to let users take the initiative to reduce electricity consumption when the price of electricity sales rises, so as to share the benefits of electricity sales. After adding demand response, the reliability of the power system can be greatly improved. For the power supply end It can be said that it is the best of both worlds. Because in demand response, it is necessary to accurately estimate the reduction value of the load in order to maintain the reliability of the power system and set a reasonable electricity purchase price. Therefore, the analysis of the state of the load has become an important part of the demand response. In addition, the power generated by renewable energy in the power system has high uncertainty. When the capacity of renewable energy increases, the uncertainty will also affect the reliability of the power system. Therefore, in addition to the state analysis of the load , state analysis of renewable energy installations is also increasingly important for maintaining the reliability of power systems.

本發明的主要目的在於計算電力元件之各狀態的機率密度，以提高電力系統於需量反應下的可靠度。The main purpose of the present invention is to calculate the probability density of each state of the power element, so as to improve the reliability of the power system under demand response.

本發明之一種電力系統狀態的分析方法包含：提供一電力系統，該電力系統具有至少一電力元件及一量測單元，該量測單元用以於複數個時間點下分別量測該電力元件的一電力數據；一運算單元接收該些電力數據，且該運算單元根據該電力元件的該些電力數據計算該電力元件切換至複數個狀態的一轉換次數；該運算單元根據該轉換次數建立一狀態轉換次數矩陣；該運算單元根據該狀態轉換次數矩陣建立該電力元件於各該狀態轉換的一轉換強度矩陣；以及該運算單元根據該轉換強度矩陣以馬可夫過程狀態空間法計算該電力元件於各狀態的一機率密度。A method for analyzing the state of a power system according to the present invention includes: providing a power system, the power system has at least one power component and a measurement unit, and the measurement unit is used to measure the power component at a plurality of time points A power data; a calculation unit receives the power data, and the calculation unit calculates a conversion number for the power component to switch to a plurality of states according to the power data of the power component; the calculation unit establishes a state according to the conversion times A conversion times matrix; the calculation unit establishes a conversion intensity matrix of the power element in each state transition according to the state conversion times matrix; and the calculation unit calculates the power component in each state according to the conversion intensity matrix using the Markov process state space method A probability density of .

本發明藉由該電力元件於各狀態之間的轉換次數建立該狀態轉換次數矩陣及該轉換強度矩陣，並進而計算各狀態的該機率密度，因此可透過各狀態該機率密度更有效且精準地預測該電力系統的不確定性，提高該電力系統於需量反應下的可靠度。The present invention establishes the state transition times matrix and the transition intensity matrix through the transition times of the power element between states, and then calculates the probability density of each state, so the probability density of each state can be more effectively and accurately The uncertainty of the power system is predicted, and the reliability of the power system under demand response is improved.

請參閱第1圖，其為本發明之一實施例，一種電力系統狀態的分析方法10的流程圖，其包含「提供電力系統11」、「計算電力元件於各狀態的切換次數12」、「建立狀態轉換次數矩陣13」、「建立轉換強度矩陣14」及「計算各狀態的機率密度15」。Please refer to FIG. 1, which is an embodiment of the present invention, a flow chart of a power system state analysis method 10, which includes "providing the power system 11", "calculating the switching times 12 of power components in each state", " Establish state transition times matrix 13", "establish transition intensity matrix 14" and "calculate the probability density of each state 15".

請參閱第1圖，於步驟11中提供一電力系統100，請參閱第2圖，為本實施例之該電力系統100的方塊圖，該電力系統100具有一電力元件110、一量測單元120及一運算單元130，該電力元件110可為一發電設備、一再生能源或一負載單元。該量測單元120電性連接該電力元件110，該量測單元120用以在複數個時間點下量測該電力元件110的一電力數據，其中，若該電力元件110為提供電力之設備，則該電力數據為該電力元件110的一輸出功率，若該電力元件110為消耗電力之設備，則該電力數據為該電力元件110的一輸入功率。較佳的，各該時間點之間的時間間隔相同，在其他實施例中，該電力系統100可具有複數個該電力元件110、複數個該量測單元120及複數個該運算單元130，該些元件的數量並非本案之所限制。Please refer to FIG. 1, a power system 100 is provided in step 11, please refer to FIG. 2, which is a block diagram of the power system 100 of this embodiment, the power system 100 has a power element 110, a measurement unit 120 And a computing unit 130, the power element 110 can be a power generation equipment, a renewable energy source or a load unit. The measurement unit 120 is electrically connected to the power component 110, and the measurement unit 120 is used to measure a power data of the power component 110 at multiple time points, wherein, if the power component 110 is a device that provides power, Then the power data is an output power of the power component 110 , and if the power component 110 is a device that consumes power, the power data is an input power of the power component 110 . Preferably, the time intervals between the time points are the same. In other embodiments, the power system 100 may have a plurality of the power components 110, a plurality of the measuring units 120 and a plurality of the computing units 130, the The number of these elements is not limited by this case.

請參閱第1及2圖，於步驟12中，該運算單元130由該量測單元120接收該些電力數據，且該運算單元130根據該些電力數據計算該電力元件110切換至複數個狀態的一轉換次數，其中，該電力元件110於一設定時段(T S)內具有一預定功率值及複數個門檻值，較佳的，該預定功率值可透過預測方式或需量反應設定產生，並於不同時段內根據預測結果設定不同的預定功率值，該些門檻值是根據該預定功率值設定，該量測單元120則用以量測該設定時段內複數個時間點(T M)的電力數據。例如，若該電力元件110為一風力發電機，其於該設定時段內的預定輸出功率值為100 MW，則該些門檻值則可分別設定為90 MW、80 MW、70 MW及60 MW，藉此可在該電力元件110之輸出功率大於90 MW，也就是輸出功率在預定輸出功率值90%以上時，設定該電力元件110操作於一第0狀態(正常運作狀態)；當該電力元件110之輸出功率為80~90 MW，也就是輸出功率在預定輸出功率值80%~90%之間時，設定該電力元件110操作於一第1狀態(第一降載狀態)；當該電力元件110之輸出功率為70~80 MW，也就是輸出功率在預定輸出功率值70%~80%之間時，設定該電力元件110操作於一第2狀態(第二降載狀態)，當該電力元件110之輸出功率為60~70 MW，也就是輸出功率在預定輸出功率值60%~70%之間時，設定該電力元件110操作於一第3狀態(第三降載狀態)，當該電力元件110之輸出功率低於60MW，也就是輸出功率在預定輸出功率值60%以下時，設定該電力元件110操作於一第4狀態(故障狀態)。上述之該電力元件110的該些狀態與其輸出功率大小的關係設定可視使用者依需求設定，本說明書所述僅為範例。 Please refer to Figures 1 and 2, in step 12, the calculation unit 130 receives the power data from the measurement unit 120, and the calculation unit 130 calculates the switching time of the power element 110 to a plurality of states according to the power data. A number of conversions, wherein, the power element 110 has a predetermined power value and a plurality of threshold values within a set period of time (T S ), preferably, the predetermined power value can be generated through a predictive method or a demand response setting, and Different predetermined power values are set according to the prediction results in different time periods, the threshold values are set according to the predetermined power values, and the measurement unit 120 is used to measure the power at multiple time points ( TM ) within the set time period data. For example, if the power element 110 is a wind power generator, and its predetermined output power value within the set period is 100 MW, then the threshold values can be set to 90 MW, 80 MW, 70 MW and 60 MW respectively, In this way, when the output power of the power element 110 is greater than 90 MW, that is, when the output power is above 90% of the predetermined output power value, the power element 110 can be set to operate in a 0th state (normal operation state); when the power element The output power of 110 is 80 ~ 90 MW, that is, when the output power is between 80% ~ 90% of the predetermined output power value, the power element 110 is set to operate in a first state (first load reduction state); when the power The output power of the element 110 is 70~80 MW, that is, when the output power is between 70%~80% of the predetermined output power value, the power element 110 is set to operate in a second state (second load reduction state), when the The output power of the power element 110 is 60~70 MW, that is, when the output power is between 60%~70% of the predetermined output power value, the power element 110 is set to operate in a third state (the third load reduction state), when The output power of the power element 110 is lower than 60MW, that is, when the output power is below 60% of the predetermined output power value, the power element 110 is set to operate in a fourth state (fault state). The above-mentioned relationship setting between the states of the power element 110 and its output power can be set by the user according to needs, and the description in this specification is only an example.

於步驟12中，該運算單元130判斷該電力元件110於該設定時段(T S)內之相鄰的兩個時間點(T M)下量測之該電力數據的變化是否跨越至少一門檻值，若是則判斷該電力元件110是在兩個狀態之間切換，若否則判斷該電力元件110是在同一狀態下切換，其中該設定時段(T S)大於相鄰的兩個時間點(T M)之間的時間間格，亦即在該設定時段內會進行多次的量測與門檻值判斷，若以電力系統需量反應而言，該設定時段(T S)可為15分鐘，相鄰的兩個時間點(T M)之間的時間間格可設定為1分鐘或更小的時間，更小的時間可更準確地預測該電力系統100的預定功率值不確定性。請參閱第3圖，其為該電力元件110於20個時間點下量測而得之電力數據，於第2個時間點時，由於第1個時間點之輸出功率為100%，第2個時間點之輸出功率為100%，該電力數據的變化並未跨越任何門檻值，因此，該運算單元130判斷該電力元件110是由第0狀態轉換至第0狀態。於第4個時間點時，由於第3個時間點之輸出功率為98%，第4個時間點之輸出功率為89%，該電力數據的變化跨越一個門檻值，因此，該運算單元130判斷該電力元件110是由第0狀態轉換至第1狀態。藉此，可以在20個時間點量測而得之該電力數據中判斷該電力元件110由第0狀態轉換至第0狀態的次數有8次，由第0狀態轉換至第1狀態有2次，由第0狀態轉換至第4狀態有2次，由第1狀態轉換至第0狀態有2次，由第2狀態轉換至第0狀態有1次，由第4狀態轉換至第0狀態有1次，由第4狀態轉換至第2狀態有1次，由第4狀態轉換至第4狀態有3次。 In step 12, the calculation unit 130 judges whether the change of the power data measured by the power element 110 at two adjacent time points ( TM ) within the set period ( TS ) exceeds at least a threshold value , if so, it is judged that the power element 110 is switched between two states; otherwise, it is judged that the power element 110 is switched in the same state, wherein the set period (T S ) is greater than two adjacent time points (T M ), that is, multiple measurements and threshold value judgments will be carried out within the set period. In terms of power system demand response, the set period (T S ) can be 15 minutes, corresponding to The time interval between two adjacent time points ( TM ) can be set to 1 minute or less, and a smaller time can more accurately predict the uncertainty of the predetermined power value of the power system 100 . Please refer to Figure 3, which is the power data measured by the power element 110 at 20 time points. At the second time point, since the output power at the first time point is 100%, the second time point The output power at the time point is 100%, and the change of the power data does not exceed any threshold value, therefore, the computing unit 130 judges that the power element 110 is converted from the 0th state to the 0th state. At the 4th time point, since the output power at the 3rd time point is 98%, and the output power at the 4th time point is 89%, the change of the power data exceeds a threshold value, therefore, the computing unit 130 judges The power element 110 is switched from the 0th state to the 1st state. In this way, it can be judged that the number of times that the power element 110 is switched from the 0th state to the 0th state is 8 times, and the number of times from the 0th state to the first state is 2 times in the power data measured at 20 time points. , there are 2 transitions from the 0th state to the 4th state, 2 transitions from the 1st state to the 0th state, 1 transition from the 2nd state to the 0th state, and 1 transition from the 4th state to the 0th state 1 time, 1 transition from the 4th state to the 2nd state, 3 transitions from the 4th state to the 4th state.

請參閱第1圖，於步驟13中，該運算單元130根據該轉換次數建立一狀態轉換次數矩陣：

Figure 02_image001
其中，
Figure 02_image003
為該狀態轉換次數矩陣，
Figure 02_image005
為該電力元件110於一第0狀態轉換至該第0狀態的該轉換次數，
Figure 02_image007
為該電力元件110於該第0狀態轉換至一第1狀態的該轉換次數，
Figure 02_image009
為該電力元件110於該第0狀態轉換至一第n狀態的該轉換次數，
Figure 02_image011
為該電力元件110於一第1狀態轉換至該第0狀態的該轉換次數，
Figure 02_image013
為該電力元件110於該第1狀態轉換至該第1狀態的該轉換次數，
Figure 02_image015
為該電力元件110於該第1狀態轉換至該第n狀態的該轉換次數，
Figure 02_image017
為該電力元件110於該第n狀態轉換至該第0狀態的該轉換次數，
Figure 02_image019
為該電力元件110於該第n狀態轉換至該第1狀態的該轉換次數，
Figure 02_image021
為該電力元件110於該第n狀態轉換至該第n狀態的該轉換次數。以前段所判斷之狀態轉換次數為例，該運算單元130建立而得之該狀態轉換次數矩陣為：
Figure 02_image023
當分析多個該設定時段後，累積的量測數據越多時，狀態的分析會越準確，因此，以分析多個該設定時段具有4320個時間點量測而得之該電力數據為例，建立而得之該狀態轉換次數矩陣為：
Figure 02_image025
。 Please refer to Fig. 1, in step 13, the operation unit 130 establishes a matrix of state transition times according to the transition times:
Figure 02_image001
in,
Figure 02_image003
is the state transition times matrix,
Figure 02_image005
is the number of transitions of the power element 110 from a 0th state to the 0th state,
Figure 02_image007
is the number of transitions of the power element 110 from the 0th state to a 1st state,
Figure 02_image009
is the conversion times of the power element 110 from the 0th state to an nth state,
Figure 02_image011
is the number of transitions of the power element 110 from a first state to the 0th state,
Figure 02_image013
is the number of transitions of the power element 110 from the first state to the first state,
Figure 02_image015
is the conversion times of the power element 110 from the first state to the nth state,
Figure 02_image017
is the conversion times of the power element 110 from the nth state to the 0th state,
Figure 02_image019
is the conversion times of the power element 110 from the nth state to the first state,
Figure 02_image021
is the switching times of the power element 110 from the nth state to the nth state. Taking the number of state transitions judged in the preceding paragraph as an example, the matrix of the number of state transitions established by the computing unit 130 is:
Figure 02_image023
After analyzing multiple set time periods, the more accumulated measurement data, the more accurate the state analysis will be. Therefore, taking the power data measured at 4320 time points in multiple set time periods as an example, The state transition times matrix obtained by establishing is:
Figure 02_image025
.

請參閱第1圖，於步驟14中，該運算單元130根據該狀態轉換次數矩陣建立該電力元件110於各該狀態轉換的一轉換強度矩陣，建立該電力元件100之該轉換強度矩陣可表示為：

Figure 02_image027
其中，
Figure 02_image029
為該轉換強度矩陣。 Please refer to FIG. 1, in step 14, the calculation unit 130 establishes a transition intensity matrix of the power element 110 in each of the state transitions according to the state transition times matrix, and the establishment of the transition intensity matrix of the power element 100 can be expressed as :
Figure 02_image027
in,
Figure 02_image029
is the transformation intensity matrix.

該運算單元130以上述4320個時間點之電力數據建立而得之該狀態轉換次數矩陣建立而得之該轉換強度矩陣為：

Figure 02_image031
。 The conversion intensity matrix obtained by the operation unit 130 based on the state transition times matrix established by the power data of the above 4320 time points is:
Figure 02_image031
.

請參閱第1圖，於步驟15中該運算單元130根據該轉換強度矩陣以馬可夫過程狀態空間法(Markov-process-based State-space Method)計算該電力元件110於各狀態的一機率密度。在本實施例中，根據該轉換強度矩陣以馬可夫過程狀態空間法計算該電力元件110於各狀態的該機率密度可表示為：

Figure 02_image033
其中，
Figure 02_image035
為單位矩陣，
Figure 02_image037
為該電力元件110之該機率密度的矩陣，
Figure 02_image039
為該電力元件110之第i個狀態的該機率密度，
Figure 02_image041
為該電力元件110之該些狀態的數量。 Please refer to FIG. 1 , in step 15 , the calculation unit 130 calculates a probability density of the power element 110 in each state according to the transformation intensity matrix by using a Markov-process-based State-space Method. In this embodiment, the probability density of the power element 110 in each state is calculated by the Markov process state space method according to the transformation intensity matrix, which can be expressed as:
Figure 02_image033
in,
Figure 02_image035
is the identity matrix,
Figure 02_image037
is the matrix of the probability density of the power element 110,
Figure 02_image039
is the probability density of the ith state of the power element 110,
Figure 02_image041
is the number of the states of the power element 110 .

該運算單元130以上述4320個時間點之電力數據建立之該轉換強度矩陣計算該電力元件110於各狀態的該機率密度的計算式可表示為：

Figure 02_image043
該機率密度可計算如下：
Figure 02_image045
得到該電力元件110於該設定時段內之各狀態的該機率密度後，即可藉此分析需量反應計畫下之該電子元件110的不確定性，以準確地設定需量反應之計畫，提高該電力系統100的可靠性。 The computing unit 130 calculates the probability density of the power element 110 in each state using the conversion intensity matrix established by the power data of the above 4320 time points can be expressed as:
Figure 02_image043
The probability density can be calculated as follows:
Figure 02_image045
After obtaining the probability density of each state of the electric component 110 within the set time period, the uncertainty of the electronic component 110 under the demand response plan can be analyzed to accurately set the demand response plan , to improve the reliability of the power system 100 .

本發明藉由該電力元件110於各狀態之間的轉換次數建立該狀態轉換次數矩陣及該轉換強度矩陣，並進而計算各狀態的該機率密度，因此可透過各狀態該機率密度更有效且精準地預測該電力系統100的預定功率值不確定性，該電力系統100不確定性可整合於電力系統的需量反應，提高該需量反應下的分析精確性與可靠度。The present invention establishes the state transition times matrix and the transition intensity matrix through the transition times of the power element 110 between states, and then calculates the probability density of each state, so the probability density of each state can be more effective and accurate The uncertainty of the predetermined power value of the power system 100 can be accurately predicted, and the uncertainty of the power system 100 can be integrated into the demand response of the power system to improve the analysis accuracy and reliability under the demand response.

本發明之保護範圍當視後附之申請專利範圍所界定者為準，任何熟知此項技藝者，在不脫離本發明之精神和範圍內所作之任何變化與修改，均屬於本發明之保護範圍。The scope of protection of the present invention should be defined by the scope of the appended patent application. Any changes and modifications made by anyone who is familiar with this technology without departing from the spirit and scope of the present invention belong to the scope of protection of the present invention. .

100:電力系統 110:電力元件 120:量測單元 130:運算單元 10:電力系統狀態的分析方法 11:提供電力系統 12:計算電力元件於各狀態的切換次數 13:建立狀態轉換次數矩陣 14:建立轉換強度矩陣 15:計算各狀態的機率密度 100: Power System 110: Power Components 120: Measurement unit 130: Operation unit 10: Analysis method of power system status 11: Provide power system 12: Calculate the switching times of the power components in each state 13: Establish a matrix of state transition times 14: Establish transition intensity matrix 15: Calculate the probability density of each state

第1圖：依據本發明之一實施例，一種電力系統狀態的分析方法的流程圖。 第2圖：依據本發明之一實施例，一種電力系統的方塊圖。 第3圖：依據本發明之一實施例，該電力元件於20個時間點下量測而得之電力數據。 Fig. 1: According to an embodiment of the present invention, a flow chart of a method for analyzing the state of a power system. Figure 2: A block diagram of a power system according to an embodiment of the present invention. Figure 3: According to an embodiment of the present invention, the power data measured by the power element at 20 time points.

10:電力系統狀態的分析方法 10: Analysis method of power system state

11:提供電力系統 11: Provide power system

12:計算電力元件於各狀態的切換次數 12: Calculate the switching times of power components in each state

13:建立狀態轉換次數矩陣 13: Establish state transition times matrix

14:建立轉換強度矩陣 14: Build the Transformation Intensity Matrix

15:計算各狀態的機率密度 15: Calculate the probability density of each state

Claims (9)

一種電力系統狀態的分析方法，其包含： 提供一電力系統，該電力系統具有至少一電力元件及一量測單元，該量測單元用以於複數個時間點下分別量測該電力元件的一電力數據； 一運算單元接收該些電力數據，且該運算單元根據該電力元件的該些電力數據計算該電力元件切換至複數個狀態的一轉換次數； 該運算單元根據該轉換次數建立一狀態轉換次數矩陣； 該運算單元根據該狀態轉換次數矩陣建立該電力元件於各該狀態轉換的一轉換強度矩陣；以及 該運算單元根據該轉換強度矩陣以馬可夫過程狀態空間法計算該電力元件於各狀態的一機率密度。 A method for analyzing the state of a power system, comprising: Provide a power system, the power system has at least one power element and a measurement unit, the measurement unit is used to respectively measure a power data of the power element at a plurality of time points; A computing unit receives the power data, and the computing unit calculates a conversion times for the power component to switch to a plurality of states according to the power data of the power component; The operation unit establishes a matrix of state transition times according to the transition times; The computing unit establishes a transition intensity matrix of the power element in each of the state transitions according to the state transition times matrix; and The calculation unit calculates a probability density of the power element in each state according to the transformation intensity matrix by using the Markov process state space method. 如請求項1之電力系統狀態的分析方法，其中該電力元件的各該電力數據為該電力元件於各該時間點下量測的一輸出功率或一輸入功率。The method for analyzing the state of a power system according to claim 1, wherein each of the power data of the power component is an output power or an input power of the power component measured at each of the time points. 如請求項1之電力系統狀態的分析方法，其中該電力元件具有複數個門檻值，該運算單元判斷該電力元件於相鄰的兩個時間點下量測之該電力數據的變化是否跨越至少一門檻值，若是則判斷該電力元件是在兩個狀態之間切換，若否則判斷該電力元件是在同一狀態下切換。The method for analyzing the state of a power system according to claim 1, wherein the power element has a plurality of threshold values, and the calculation unit judges whether the change of the power data measured by the power element at two adjacent time points spans at least one If it is the threshold value, it is judged that the power element is switched between two states, otherwise it is judged that the power element is switched in the same state. 如請求項2之電力系統狀態的分析方法，其中該電力元件具有複數個門檻值，該運算單元判斷該電力元件於相鄰的兩個時間點下量測之該電力數據的變化是否跨越至少一門檻值，若是則判斷該電力元件是在兩個狀態之間切換，若否則判斷該電力元件是在同一狀態下切換。The method for analyzing the state of a power system as claimed in item 2, wherein the power element has a plurality of threshold values, and the calculation unit judges whether the change of the power data measured by the power element at two adjacent time points spans at least one If it is the threshold value, it is judged that the power element is switched between two states, otherwise it is judged that the power element is switched in the same state. 如請求項4之電力系統狀態的分析方法，其中該些時間點位於一設定時段內，該電力元件於該設定時段內具有一預定功率值，該些門檻值是根據該預定功率值設定。The method for analyzing the state of a power system according to claim 4, wherein the time points are within a set time period, the power element has a predetermined power value within the set time period, and the threshold values are set according to the predetermined power value. 如請求項1之電力系統狀態的分析方法，其中該狀態轉換次數矩陣可表示為：
Figure 03_image001
其中，
Figure 03_image003
為該狀態轉換次數矩陣，
Figure 03_image005
為該電力元件於一第0狀態轉換至該第0狀態的該轉換次數，
Figure 03_image007
為該電力元件於該第0狀態轉換至一第1狀態的該轉換次數，
Figure 03_image009
為該電力元件於該第0狀態轉換至一第n狀態的該轉換次數，
Figure 03_image011
為該電力元件於一第1狀態轉換至該第0狀態的該轉換次數，
Figure 03_image013
為該電力元件於該第1狀態轉換至該第1狀態的該轉換次數，
Figure 03_image015
為該電力元件於該第1狀態轉換至該第n狀態的該轉換次數，
Figure 03_image017
為該電力元件於該第n狀態轉換至該第0狀態的該轉換次數，
Figure 03_image019
為該電力元件於該第n狀態轉換至該第1狀態的該轉換次數，
Figure 03_image021
為該電力元件於該第n狀態轉換至該第n狀態的該轉換次數。 As the analysis method of the power system state of claim item 1, wherein the state transition times matrix can be expressed as:
Figure 03_image001
in,
Figure 03_image003
is the state transition times matrix,
Figure 03_image005
is the number of transitions of the power element from a 0th state to the 0th state,
Figure 03_image007
is the number of transitions of the power element from the 0th state to a 1st state,
Figure 03_image009
is the number of transitions of the power element from the 0th state to an nth state,
Figure 03_image011
is the number of transitions of the power element from a first state to the 0th state,
Figure 03_image013
is the number of transitions of the power element from the first state to the first state,
Figure 03_image015
is the number of transitions of the power element from the first state to the nth state,
Figure 03_image017
is the number of transitions of the power element from the nth state to the 0th state,
Figure 03_image019
is the number of transitions of the power element from the nth state to the first state,
Figure 03_image021
is the number of transitions of the power element from the nth state to the nth state. 如請求項6之電力系統狀態的分析方法，其中建立該電力元件之該轉換強度矩陣可表示為：
Figure 03_image027
其中，
Figure 03_image029
為該轉換強度矩陣。 As the analysis method of the power system state of claim item 6, wherein the transformation intensity matrix of the power element is established can be expressed as:
Figure 03_image027
in,
Figure 03_image029
is the transformation intensity matrix. 如請求項7之電力系統狀態的分析方法，其中根據該轉換強度矩陣以馬可夫過程狀態空間法計算該電力元件於各狀態的該機率密度可表示為：
Figure 03_image033
其中，
Figure 03_image035
為單位矩陣，
Figure 03_image037
該電力元件之該機率密度的矩陣，
Figure 03_image039
為該電力元件之第i個狀態的該機率密度，
Figure 03_image041
為該電力元件之該些狀態的數量。 The method for analyzing the state of a power system as claimed in item 7, wherein the probability density of the power element in each state is calculated by using the Markov process state space method according to the transformation intensity matrix, which can be expressed as:
Figure 03_image033
in,
Figure 03_image035
is the identity matrix,
Figure 03_image037
the matrix of the probability density of the power element,
Figure 03_image039
is the probability density of the i-th state of the power element,
Figure 03_image041
is the number of the states of the power element. 如請求項8之電力系統狀態的分析方法，其中該電力元件於各狀態的該機率密度的計算式可表示為：
Figure 03_image047
。 The analysis method of the power system state as claimed in claim 8, wherein the calculation formula of the probability density of the power element in each state can be expressed as:
Figure 03_image047
.
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