Mathematical Models of Electric Machines – I. P. Kopylov

The book covers topics devoted to the application the electronic computers to the solutions of problems in electro-mechanics. It is expected that the reader is already familiar with computer programming, and algorithmic languages. The author’s objective is to teach the students how to formulate equations for most of the problems in the analysis of the energy conversion processes in electric machines and  reduce them to a convenient form for their solution by computers. Much consideration is given to analysis of the obtained solutions. Three chapters are devoted to the synthesis of electric machines and the computer-aided design system; the latter being the highest achievements in electro-mechanics.

Primary attention is focused on differential equations of electro-mechanical energy conversion, which form the most general and rigorous mathematical model for describing both transient and  steady-state modes of operation . Polynomial models are also given
due treatment.

The present book is designed for students and postgraduates studying electric machines and also for electromechanical and power engineers engaged in the design and service of electric, machinery.

The book was translated from the Russian by P. S. Ivanov and was first published by Mir in 1984.

The Internet Archive Link

All credits to the original uploader.

Also see the FAQs


1 . Introduction to Electro-mechanics 9

2. Electro-mechanical Conversion Involving a Circular Field 44

3. Generalized m-n winding Converter 71

4. Typical Equations of Electric Machines 83

5. Energy Conversions involving non-sinusoidal and asymmetric supply voltages 94

6. Multi-winding Machines 116

7. Models of electric machines with non-linear parameters 135

8. Asymmetric energy converters 155

9. The Equations of Electric Machines of Various Designs 166

10. Electric-field and electromagnetic-field Energy Converters 179

11. Application of Experimental Design to Electrical Machines Analysis 190

12. Synthesis of Electric Machines 210

13. Automated Design of electric Machines 225

Appendices 244

Bibliography 272

Index 274


This entry was posted in books, mathematics, mir publishers, science and tagged , , , , , . Bookmark the permalink.

13 Responses to Mathematical Models of Electric Machines – I. P. Kopylov

  1. Mr,DVD Pillai says:

    Tell me password please?


  2. Mr,DVD Pillai says:

    The given password mirtitles is not accepted by winzip.


  3. Khalid says:

    Hi Damitr,

    Thanks for uploading this book. While trying to extract the pdf, the following message was displayed “skipping: Mathematical_Models_of_Electric_Machines.pdf unsupported compression method 99”, before aborting the extraction. Do you know which compression method has been used to create the zip file ?



  4. Here are MIR publication books on Mathematics :
    1.Linear Algebra by V.V. Voevodin
    2.Vector algebra examples and problems by P.B. Gusiatnikov and S.V. Reznichenko
    3.Silhouettes of Algebra by Y. Perelman (Popular Science Series)
    4.Silhouettes of Algebra by Y. Perelman (other one)
    5.Algebra and Elementary Functions Analysis by M. Potapov,V. Alexandrov and P. Pasichenko
    6.Algebra and Elementary Functions by R.A. Kalnin
    7.Combinatorial Analysis by K. Ribnikov
    8.Mathematical analysis of questions and problems by V.F. Butuzov
    9.Vector Analysis by M.L. Krasnov
    10.Mathematical Analysis – Functions to Variables by vol.1&vol.2 by G. Shilov
    11.Short Course of the Theory of Extremals Problems by E. Galeev and V.Tijomirov
    12.Short Course of Higher Mathematics by V.A. Kudriavtsev
    13.Variational calculus – Examples and Problems by M.L. Krasnov
    14.Higher Mathematics Course vol.1,vol.2 &vol.3 by V. Smirnov
    15.Short Course in l Geometry by N. Efimov (Handbook)
    16.Higher Algebra by A.G. Kurosch
    17.Mathematical Analysis Course vol.1&vol.2 by L.D. Kudriavtsev
    18.Many ways? Combinatorics by N. Vilenkin
    19.Partial Differential Equations by V.P. Mikhailov
    20.Differential Equations and Variational Calculus by L. Elsgoltz
    21.Integral Equations by M. Krasnov
    22.Coordinate Method by I. Gelfand,E. Glagolieva and A. Kirillov
    23.Elements of the Theory of Functions and Functional Analysis by A.N. Kolmogorov and S.V. Fomin
    24.Elements of Higher Mathematics by I.L. Zaytsev
    25.Elements of Mathematical Analysis by S.M. Nikolski
    26.Equations of Mathematical Physics by S. Godunov
    27.Mathematical Statistics by A.A. Borovkov
    28.Study of Addictions Statistics by S. Aivazian
    29.Fundamentals of Linear Algebra by A.I. Maltsev
    30.Fundamentals of Discrete Mathematics by V.A. Gorbatov
    31.Fundamentals of the Theory of Numbers by I. Vinogradov
    32.Foundations of Higher Mathematics by V.S. Shipachev
    33.Mathematical Foundations of Cybernetics by Yu. M. Korshunov
    34.Geometry by GN Yakovliev
    35.Differential Geometry by A.V. Pogorelov
    36.Elementary Geometry by A.V. Pogorelov
    37.Modern Geometry – Methods of the Theory of homologies by V.B. Dubrovin
    38.Introduction to the Theory of Probabilities by V.S. Pugachev
    39.Introduction to Numerical Methods by A.A. Samarski
    40.Introduction to Algebra by A.I. Kostrikin
    41.Lessons from Theory Integral Equations by I. Petrovski
    42.Lectures on Partial Differential Equations by I.G. Petrovski
    43.The Demonstrable and undemonstrable by Yu. I. Manin (Popular Science Series)
    44.Manual of the Theory of Probability and Mathematical Statistics by V.S. Koroliuk
    45.Manual for High School Mathematics by V. Litvinenko and A.G. Tsipkin
    46.Mathematics of Computation by N.I. Danilina
    47.Higher Mathematics by I. Suvorov
    48.Higher Mathematics by YA. S. Bugrov
    49.Higher Mathematics – Differential and Integral Calculus by Ya. S. Bugrov and S.M. Nikolski
    50.Higher Mathematics – Elements of Linear Algebra and Analytic Geometry by Ya. S. Bugrov – S.M. Nikolski
    51.Higher Mathematics in Exercises and Problems vol.1&vol.2 by P.E. Danko
    52.Settlement Method lattice equations vol.1&vol.2 by A. Samarski and E. Nikolaev
    53.Probabilities of the Quantum World by D. Danin
    54.Problems of Linear Algebra by J. Ikramov
    55.Problems of Linear Algebra by I. I. Proskuriakov
    56.Higher Algebra Problems by D. Faddieev and I. Sominski
    57.Problems of Ordinary Differential Equations by A. Kiselyov
    58 .Analytical Geometry Problems by D. Kletenik
    59.Problems of Differential Geometry by A.S. Fedenko
    60.Geometry Problems – Planimetry by I. Shariguin
    61.Problems of Mathematical Physics vol.1&vol.2 by B.M. Budak
    62.Problems of the Theory of Probability and Mathematical Statistics by V.E. Gmurman
    63.Problems of Higher Mathematics vol.1&vol.2 by A. Efimov
    64.Problems of Discrete Mathematics by G. Gavrilov and A. Sapozhenko
    65.Problems of Elementary Mathematics by V.B. Lidski
    66.Mathematical Problems – Geometry by V. Gusev
    67.Mathematical Problems – Algebra and Trigonometry by V. Litvinenko and A. Mordkovich
    68.Problems on the Theory of Functions of Complex Variables by L. Volkovyski
    69.Problems and Exercises in Functional Analysis by V. A. Trenoguin
    70.Problems and Exercises in Mathematical Analysis by G.N. Berman
    71.Problems and Exercises in Mathematical Analysis by B. Demidovich and Baranenkov
    72.Problems in Mathematical Statistics by G. Ivchenko
    73.Random Processes – Course Summary by Y. Rozanov
    74.Selected Topics of Elementary Mathematics by G. Dorofeiev
    75.Theory of Analytical Functions vol.1&vol.2 by A. Markushevich
    76.Theory of Probability and Mathematical Statistics by V.E. Gmurman
    For All Mistakes sorry.
    These all were written by hand by me and copied here.
    Thanks for taking Interest.


  5. Aditya says:

    link down 😦


  6. Siddharth says:

    hey admin
    can you please upload problems in mathematics by v govorov and gn berman ( a book in mathematical analysis) plzzz!!!!!!!!! i need those books for jee preparation


  7. Aasim says:

    Here is the link of Electric Machines Vol 1 and Vol 2 by Ivanov Smolensky
    Vol1 :
    Vol2 :


  8. Aasim says:

    Need the following book
    “Protective Relaying in Electric Power System” by M. Titarenko and I. Noskov – Dukelsky
    Publishers: Foreign Languages Publishing House, Moscow


  9. Angel says:

    Dear Sir,
    Where can I find the book: Higher Mathematics in Exercises and Problems vol.1&vol.2 by P.E. Danko. Could you advice please?
    Thanks in advance


Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

This site uses Akismet to reduce spam. Learn how your comment data is processed.