Determining electrical operating costs can be very simple or very complex, depending on the equipment. Obviously, you will need to determine the power cost associated with operating the equipment. You probably also want to consider the maintenance costs associated with maintaining the equipment in an operating status, both in manpower to do the maintenance and supplies.
The power cost can be the complex part. If you have a relatively-small, purely resistive load (i.e. heaters), take the kilowatts and the time operating and multiply by your power cost. If you have a large load and/or load with capacitance or inductance (i.e. pretty much everything besides heaters) you have to consider more.
First, is your total load going to cause your power rate to change? Power companies typically charge by how much power you use during a billing cycle. If you use up to 1000 kilowatt-hours (KW-hr), you get charged one rate whereas if you use 1000-2000 KW-hr, you get charged a different rate (typically a lower rate for higher usage). You should also take into account if this power is going to be used during peak power periods, since the power company may charge you more for using power during these periods.
Second, what will be the effect on your reactive power? If you add inductance or capacitance (typically motors), this will change your reactive power. Power companies do not want you to use a lot of reactive power, and many times will charge a fee if you exceed a certain amount. Your equipment should tell you the power factor that it will run at. This will allow you to determine the reactive power it will consume. If it turns out you will exceed the power company's limit on reactive power, you have two things you can do:
1. Pay the fee. This would be a monthly cost with no capital cost involved.
2. Add compensation to offset the reactive power. If you have mainly inductive loads (motors), you can add capacitors to offset this. If you have capacitive loads, you can add inductors (reactors) to offset this. This will add to the capital cost, but will negate the monthly fee.
Third, can your current electrical system handle the added load? Obviously, if it cannot handle the additional load, you will have to look into upgrading your electrical system. Although, since your client is asking you to assess their project, they have probably already made sure of this.
There are probably more things to consider that I am forgetting right now, but these three will get you a very accurate estimate of what your operating costs will be. If you want a simple way to estimate operating costs, simply take the KW loading of the new equipment and multiply it by your power cost and hours it will operate.