Fuzzy Monte Carlo mathematical model for load curtailment minimization in transmission power systems

This paper presents a methodology which is based on statistical failure and repair data of the transmission power system components and uses fuzzyprobabilistic modeling for system component outage parameters. Using statistical records allows developing the fuzzy membership functions of system component outage parameters. The proposed hybrid method of fuzzy set and Monte Carlo simulation based on the fuzzy-probabilistic models allows catching both randomness and fuzziness of component outage parameters. A network contingency analysis to identify any overloading or voltage violation in the network is performed once obtained the system states by Monte Carlo simulation. This is followed by a remedial action algorithm, based on optimal power flow, to reschedule generations and alleviate constraint violations and, at the same time, to avoid any load curtailment, if possible, or, otherwise, to minimize the total load curtailment, for the states identified by the contingency analysis. In order to illustrate the application of the proposed methodology to a practical case, the paper will include a case study for the Reliability Test System (RTS) 1996 IEEE 24 BUS.

Voltage Analysis and Load Curtailment Minimization in Sub-transmission Networks with Distributed Generation

Most of distributed generation and smart grid research works are dedicated to network operation parameters studies, reliability, etc. However, many of these works normally uses traditional test systems, for instance, IEEE test systems. This paper proposes voltage magnitude and reliability studies in presence of fault conditions, considering realistic conditions found in countries like Brazil. The methodology considers a hybrid method of fuzzy set and Monte Carlo simulation based on the fuzzy-probabilistic models and a remedial action algorithm which is based on optimal power flow. To illustrate the application of the proposed method, the paper includes a case study that considers a real 12-bus sub-transmission network.

Application for Loan, Mortgage Loan Envelope, and Abstract of Title

Atkins, Sarah A. and Carlisle A. Gardner includes: Application for Loan, July 26, 1884; Mortgage Loan Envelope no. 255 for July 1, 1884 – July 1, 1889 and Abstract of Title, August 28, 1884.

Cogswell, Maria, includes: Application for loan on Real Estate, Insurance Policy, Mortgage Loan Envelope

Cogswell, Maria, includes: Application for loan on Real Estate, Feb. 20, 1882; Insurance Policy no. 2199780 from the Royal Insurance Company of Liverpool, March 17, 1887 and Mortgage Loan Envelope for mortgage no. 1535 from March 1, 1882 – March 1, 1887.

Crew, Isaac M., includes: Application for Loan, Mortgage Loan Envelope, and Abstract of Title

Crew, Isaac M., includes: Application for Loan, March 10, 1885; Mortgage Loan Envelope no. 679 for Jan. 1, 1885 – Jan. 1, 1890 and Abstract of Title, April 13, 1885.

Crick, Henry A., includes Application for Loan, and Mortgage Loan Envelope

Crick, Henry A., includes Application for Loan, Jan. 8, 1885 and Mortgage Loan Envelope no. 637 for Jan. 1, 1885 – Jan. 1, 1890.

Mank, Isaac, Mortgage Loan Envelope no. 640

Mank, Isaac, Mortgage Loan Envelope no. 640 for Jan. 1, 1885 – Jan. 1, 1890

Schmidt, John, includes: Application for Loan, and Mortgage Loan Envelope, and Abstract of Title

Schmidt, John, includes: Application for Loan, Aug. 8, 1884 and Mortgage Loan Envelope no. 302 for July 1, 1884 – July 1, 1889 and Abstract of Title, Sept. 6, 1884.

Form letter: a printed, 2 1/2 page copy of Jarvis Conklin and Co. Mortgage, Loans and Municipal Bonds letter to S.D. Woodruff, signed by James Conklin

Form letter: a printed, 2 1/2 page copy of Jarvis Conklin and Co. Mortgage, Loans and Municipal Bonds letter to S.D. Woodruff, signed by James Conklin, n.d.

Letter to Samuel Woodruff explaining the mortgage system in Kansas

Letter (2 pages, handwritten) to Samuel Woodruff explaining the mortgage system in Kansas. It is signed Jarvis, Conklin and Co., March 31, 1882.

Letter which was enclosed with the application, bond mortgage and abstract of the Jones and Mater accounts to Samuel Woodruff from Jarvis, Conklin and Co.

Letter which was enclosed with the application, bond mortgage and abstract of the Jones and Mater accounts to Samuel Woodruff from Jarvis, Conklin and Co., May 4, 1882.

Letter to S.D. Woodruff stating that Mr. Mater wishes to take up his mortgage signed Jarvis, Conklin and Co

Letter (1 page, typed) to S.D. Woodruff stating that Mr. Mater wishes to take up his mortgage. It is signed Jarvis, Conklin and Co., Aug. 18, 1884.

Postcard to S.D. Woodruff from Jarvis-Conklin Mortgage Trust Co.

Postcard to S.D. Woodruff acknowledging the receipt of the Dennis and Conklin papers from Jarvis-Conklin Mortgage Trust Co., Feb. 4, 1887.

Letter to S.D. Woodruff signed by Wm. Shelley, treasurer of the Jarvis-Conklin Mortgage Trust Company

Letter (1 page, typed) to S.D. Woodruff asking for the papers for the Crick loan. This is signed by Wm. Shelley, treasurer of the Jarvis-Conklin Mortgage Trust Company. The letter is torn, has holes in it and is somewhat crumpled and stained. This does not affect the text, June 7, 1887.

Letter to S.D. Woodruff from Wm. Shelley, treasurer of the Jarvis-Conklin Mortgage Trust Company

Letter (1 page, typed) to S.D. Woodruff from Wm. Shelley, treasurer of the Jarvis-Conklin Mortgage Trust Company requesting the papers for the Crew and Atkins loans. The letter is discoloured along the folds. This does not affect the text, Nov. 20, 1887.