Whether you are new to the industry or are well seasoned and want to review some of the basic information that you learned in the past, these courses and lessons will clearly outline what you are looking for. “Power Systems Electric” is On-Line training that bridges the gaps between textbook theories and practical power systems experience. As a retired electrical engineer who has gone through the experience of developing a career in electrical power systems, I know how frustrating it can be to try and find the answers, so I put together these courses that I feel would have been a major help to me in my development. I have also taken suggestions from students of what they would like to see in addition to these courses which I have given live in person.

Basic Electrical Learning

For those new to the industry, there is a beginner’s group of courses that cover the “Fundamentals of Electricity ” including DC and AC Circuit Analysis. These lessons examine such basics as Ohm’s Law, Series, and Parallel Circuits. The first, and perhaps most important, relationship between current, voltage, and impedance, “Ohm’s Law”, and its relevance to Series and Parallel Circuits. Subsequently, this will lead to the development of Kirchhoff’s Laws as they help to further analyze Network Analysis & Metering Circuits.

Conductors and Insulators are investigated along with their connected components, Capacitors, Inductors, and how they are influenced by Electromagnetism.

Alternating Current (AC – an electric current that periodically reverses direction) is the form in which electric power is delivered to businesses and residences, and it is the form of electrical energy that consumers typically use when they plug kitchen appliances, televisions, fans, and electric lamps into a wall socket.

The abbreviations AC and DC are often used to mean simply alternating and direct, as they are applied to current or voltage.

These AC courses deal specifically with sinusoidal waveforms and will provide the student with the basic understanding of working with circuits involving Alternating Current, which includes sinusoidal waveforms, vectors & phasors, reactance & impedance of R,L,C circuits, as they relate to the basic laws and theorems of electricity. This includes working with AC Power, Power Factor, Resonance, Complex Numbers, Reactance, and Impedance

Advanced Electrical Learning

These Courses involve subjects such as “Short Circuit Analysis for HV Three-Phase Systems ” which introduces the student to the basic concepts of fault studies on a high voltage three-phase system. System modeling is then used in order to aid in this process, with the ability to move between asymmetrical and symmetrical systems. With hey Searle and extensive study of “Per Phase” & “Per Unit” methodologies system faults are analyzed with the use of symmetrical components.

“A Per-Unit System ” is the expression of system quantities as fractions of a defined base unit quantity. Calculations are simplified because quantities expressed as per unit do not change when they are referred from one side of a transformer to the other.

In these courses, you will learn exactly what Per Unit Analysis is, the main advantages of using it, how manufacturers of equipment use and rate their products, and the technique of converting to and from the Per Unit system.

Several examples of working with Per Unit are demonstrated in this crisp clear presentation. When you finish you will have a though understanding of this subject.

It is important for all power engineers and technicians to be familiar with the concept of Per Unit as it is being used and referred to every day in power flow, short circuit evaluation, and motor starting studies.

The method of “Symmetrical Components ” is used to simplify asymmetrical three-phase voltages and current analysis by converting the unbalanced system into two sets of balanced phasors and a set of single-phase phasors, or symmetrical components. These sets of phasors are called the positive, negative, and zero sequence components.

An understanding of this method is essential for the understanding of fault analysis and modern-day protection schemes. These courses will provide you with the knowledge to comprehend the concept and how it is applied.

Supplemental Electrical Lessons

In all power electrical analyses, the student will encounter special Trigonometric and Mathematical identities and equations. This site contains special supplemental lessons that zero in on those identities and equations. For example, there are lessons that take you from the “Fundamentals of Trigonometry ” to the more sophisticated requirements in electrical engineering. As you work and study in electrical engineering you are going to run into proofs and equations that are based on trigonometry. A good example of this is when studying AC current, voltage, and impedance calculations, phasors or vectors are used and combined mathematically. Further adventures into complex power will also require a knowledge of trig functions and identities. As a student of this course, you will be introduced to these or at least re-introduced to these that may have been long since forgotten.
In mathematics, “The Derivative of a Function ” of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value). Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object’s velocity: this measures how quickly the position of the object changes when time advances.

Specialized Electrical Lessons

Specialized lessons include the “Protection & Control(P & C)” principles of high voltage stations. HV Bus Differential Protection is studied along with restrictions due to CT saturation & mismatch and its solution, “Restraint Differential Protection”.

High Voltage Circuit Breakers are examined as to the various Types (Oil, Vacuum, Air Blast, SF6), their Controls as well as the introduction of potential transformers & current transformers, and their use in conjunction with the relevant instruments such as ammeters, voltmeters, watt meters, and energy meters.

Other lessons include the study of “Transformers ” including core construction along with losses, cooling, and mitigation techniques. Three-phase transformer configurations are studied along with harmonic distortion, CT saturation, and on-load tap-changer problems and how these problems are dealt with. Over-current and restraint differential transformer protection is developed along with a look at some examples of ” Old School relays” as well as modern IDE (intelligent Electrical Devices) relays.

Transformer Connections: (Y – Y; Delta – Delta; Y – Delta; Delta – Y & Y – Zag Zig) are examined along with Transformer Clock System Vector Nomenclature.

Lastly, there is a special section dedicated to “Single and Three-Phase Metering “, including old analog and new digital kilowatt-hour meters.

Conclusion

Regardless of whether or not you are new to the industrial power system, you’ll find what you’re looking for on this site in the way of training. In order to review or select any of these courses, left-click on any of the blue highlighted hyperlinked words of this posting or on “14 Courses Available” from the top menu of the landing page. All of the courses have a free introduction

As a bonus and in the way of a thank you, for your interest in PSPT’s WEB (and Blog) page, I’m making available my 50-page “Electrical Power” crib sheets. These were prepared for use with my courses that are available on this site. There is one section associated with each course and is extremely valuable while viewing the course, as well as a recall of the pertinent formulas and information after the fact. The contained information is also useful during any technical career as a quick reference from time to time. Simply click here or on the picture to the right to be taken to where you can download this item.

January 06, 2025

Blog #55 - Calculating Current and Impedances of this Parallel RLC Circuit

January 06, 2025/ Graham VanBrunt

As part of my problem series, in this video, I will be Calculating the current and impedances of this parallel RLC circuit…

Once I am finished with this series of problems I will be posting them in my Stan store, at this web address…https://stan.store/GVB

Calculate the impedance of this parallel RLC circuit and the Currents in R, L, and C

The Angular frequency is given by ω = 2πf plugging in actual values we get (2)(3.1416)(60 Hz) = 377 rad/sec

XC = -1/(ωC) = -1/[377)(26.5)x10-6] = -100 Ω

XL = ωL therefore, XL = (377)(0.5) = 188.5 Ω

We will use the voltage as a reference again; therefore E = 200 ∠0 deg V…its phasor shown here in blue…

From Ohm’s law the current in the resistor is IR and that is equal to E/R or 200 ∠0 deg/100 ∠0 deg = 2 ∠0 deg Amps…its phasor shown here in red…

From Ohm’s law: IL = E/XL = 200∠0 deg/188.5∠90 deg = -j1.06 Amps…its phasor shown here in red…1.06 Amps at -90°

From Ohm’s law: IC = E/XC = 200∠0 deg/100∠-90 deg = +j2.0 A…its phasor shown here in red…2 Amps at +90°

Again note: that in my diagram, the magnitudes of the phasors are not necessarily exactly to scale. They were meant for demonstration purposes only.

IT is the vector sum of 2 + j2 - j1.06 = 2 + j0.94 = 2.21@25.2 deg A

Adding the vectors…we start with the current IR which is 2 A… And add to it the current in the capacitor which is…

IC 2 @ + 90°And add to it the current in the inductor which is…

IL -1.06 @ - 90°…so summing the phasors or vectors we get…

IT = 2 +j0.94 or 2.21∠25.2o Amps.

Impedance is ZEQ = E/IT = (200∠0 deg)/2.21∠25.2deg = 90.5 ∠-25.2deg Ω.

So we calculated the impedance of this parallel RLC circuit and the Currents in R, L, and C…and were done!

You'll find these problem-solving skills come in handy when automating your home, using Z-Wave products such as these lighting switches that are extremely versatile. With them you can create a mood, accented by the lighting…

Mood Lighting is Easy. Let's set the scene for movie night or a romantic dinner!

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Not all Z-Wave light switches are compatible with your Z-Wave hub so they've made it easy for you to shop by selecting your hub model to find the switches and dimmers that will integrate well with your z-wave network. Z-wave switches are the ones you can control your home lighting from your smart phone, Alexa, or Z-wave controller interface. The configuration options for your lighting are endless. Find the best prices online at this WEB address…https://tinyurl.com/thesmartesthouse

If you are ready to elevate your living space with home automation, now’s the perfect time to transform your home into a smart, efficient household! In order to explore an incredible range of innovative products that cater to all your smart home needs.

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Remember, this video has been brought to you by PSPT, where you will find electrical train training videos when you go to this web address…https://bit.ly/47YB3vh...which will also give you a free copy of my 50 page crib sheets that you can use while viewing any of the courses or just keep handy during your every day work.