壓縮感知偽隨機動態(tài)功率信號的電能測量方法
doi: 10.11999/JEIT160416
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1.
(北京化工大學(xué)信息科學(xué)與技術(shù)學(xué)院 北京 100029) ②(國網(wǎng)冀北電力有限公司電力科學(xué)研究院 北京 100045)
基金項目:
國家自然科學(xué)基金(51577006)，國網(wǎng)冀北電力有限公司電力科學(xué)研究院項目(8KE000M15015)
Compressive Sensing Measurement for Electrical Energy of Pseudo Random Dynamic Test Signal
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1.
(College of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China)
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2.
(Power Research Institute, State Grid Jibei Electric Power Company Limited, Beijing 100045, China)
Funds:
The National Natural Science Foundation of China (51577006), The Power Research Institute Foundation of State Grid Jibei Electric Power Company Limited (8KE000M15015)
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摘要: 針對壓縮感知檢測方法不能準確測量偽隨機動態(tài)測試信號電能量值的問題，該文首先分析了動態(tài)測試信號的頻域稀疏性，證明動態(tài)測試信號滿足壓縮感知檢測的條件；然后采用系統(tǒng)穩(wěn)態(tài)優(yōu)化的方法，構(gòu)造了一種確定型壓縮感知測量矩陣，證明其符合限制等距特性(RIP)條件，最后提出了一種新型壓縮感知動態(tài)測試信號電能量的測量方法。實驗結(jié)果表明：該文壓縮感知測量方法的理論相對誤差優(yōu)于傳統(tǒng)的采樣功率電能測量方法，能夠?qū)崿F(xiàn)m序列動態(tài)測試信號的電能量值準確測量。
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關(guān)鍵詞:
- 壓縮感知 /
- 電能測量 /
- 壓縮感知測量矩陣 /
- 電能量壓縮感知測量方法 /
- 偽隨機動態(tài)測試信號
Abstract: Focus on the problem that Compressive Sensing (CS) measurement can not measure the electrical energy of pseudo random dynamic test signal accurately, in this paper, the spectral sparseness of pseudo random dynamic test signal is firstly analyzed, and dynamic test signal satisfies the measurement condition of compressive sensing is proved. Secondly, the system stable state optimization method is used to establish the deterministic compressive sensing measurement matrix, which meets the RIP (Restricted Isometry Property) condition. Finally, a new compressive sensing measurement methed for the electrical energy of pseudo random dynamic electric energy is proposed. The experimental result shows that the theoretical error of the compressive sensing measurement is superior over traditional sample power electrical energy measurement, and it can measure the pseudo random dynamic electrical energy accurately. -
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